Please find all publications under:

http://www.ams.org/mathscinet/search/author.html?mrauthid=28930

Recent Preprints

Iulia Cristian, Barbara Niethammer and J.J.L. Velázquez : On an inhomogeneous coagulation model with a differential sedimentation kernel

T. Dolmaire and JJL Velazquez : Properties of some dynamical systems for three collapsing inelastic particles

T. Dolmaire and JJL Velazquez : A particle model that conserves the measure in the phase space, but does not conserve the kinetic energy

T. Dolmaire and JJL Velazquez : Collapse of inelastic hard spheres in dimension > 2

E. Franco, B. Kepka and JJL Velazquez : Characterizing the detailed balance property by means of measurements in chemical networks

D. Alonso-Oran, Sanchez Simon del Pino, D. and JJL Velazquez : The three dimensional magneto hydrostatic equations with Grad-Rubin boundary value

Dematte E., Jang J.W. and JJL Velázquez : Compactness and existence theory for a general class of stationary radiative transfer equations

A. Logioti, B. Niethammer, M. Röger and JJL Velazquez : Interface behavior for the solutions of a mass conserving free boundary problem modeling cell polarization.

E. Demattè and JJ.L. Velázquez : On the diffusion approximation of the stationary radiative transfer equation with absorption and emission

E. Franco, B. Kepka and JJL Velázquez : Description of chemical systems by means of response functions

Amrita Ghosh, J.J.L. Velázquez : A thin film model for meniscus evolution  https://arxiv.org/abs/2301.04181

Iulia Cristian, J.J.L. Velázquez : Coagulation equations for non-spherical clusters

Marina A. Ferreira, Jani Lukkarinen, Alessia Nota, Juan J. L. Velázquez : Asymptotic localization in multicomponent mass conserving coagulation equations  

 

Articles to appear:

B. Kepka, D. Alonso Oran and JJL Velazquez : Rotating solutions to the incompressible Euler-Poisson equation with external particle to appear in : Annales de l’Institut Henri Poincaré, Analyse Non Linéaire.

Marina A. Ferreira, Jani Lukkarinen, Alessia Nota, Juan J. L. Velázquez : Non-power law constant flux solutions for the Smoluchowski coagulation equation to appear in : SIAM J. Mathematical Analysis

Marina A. Ferreira, Eugenia Franco, Jani Lukkarinen, Alessia Nota and Juan J. L. Velázquez : Coagulation equations with source leading to anomalous self-similarity to appear in : Journal of Math. Physics A: Mathematical and Theoretical.

Jin Woo Jang and J.J.L. Velazquez: On the temperature distribution of a body heated by radiation to appear in : SIAM J. Math. Analysis

 

Recent Publications :

-2024-

Iulia Cristian, Juan J. L. Velázquez : Fast fusion in a two-dimensional coagulation model https://arxiv.org/abs/2303.09475 published in : Journal de Mathématiques Pures et Appliquées, Volume 184 (2024), Pages 91-117, https://www.sciencedirect.com/science/article/pii/S0021782424000242?via%3Dihub

Christina Lienstromberg and J.J.L. Velazquez : Long-time asymptotics and regularity estimates for weak solutions to a doubly degenerate thin-film equation in the Taylor-Couette setting https://arxiv.org/abs/2203.00075  in Pure and Applied Mathematics Pure and Applied Analysis 6(1):187-236 (Febr. 2024) DOI:10.2140/paa.2024.6.187

Diego Alonso Orán and Juan J.L.Velázquez : On the Grad-Rubin boundary value problem for the two-dimensional magneto-hydrostatic equations https://arxiv.org/abs/2203.04062 in Math. Annalen 388, 2387-247  (2024) https://link.springer.com/article/10.1007/s00208-023-02582-1

-2023-

Iulia Cristian, Marina A. Ferreira, Eugenia Franco, Juan J. L. Velázquez : Long-time asymptotics for coagulation equations with injection that do not have stationary solutions
DOI publication and in Archive Rat. Mech. Analysis 247(6): 61p. (2023)

Jin Woo Jang and J.J.L. Velazquez: Kinetic Models for Semiflexible Polymers in a Half-plane https://arxiv.org/abs/2011.01491 in : Pure and Applied Analysis Vol. 5 (2023), No. 1, 145–212
DOI: 10.2140/paa.2023.5.145

Anna Logioti, Barbara Niethammer, Matthias Röger and J.J.L. Velazquez: Qualitative properties of solutions to a non-local free boundary problem modeling cell polarization https://arxiv.org/abs/2202.06289
in Communications in PDEs Vol. 48, Issue 7 - 8

Marina A. Ferreira, Jani Lukkarinen, Alessia Nota and JJL Velazquez·: Non-equilibrium Stationary Solutions for Multicomponent Coagulation Systems with Injection in Journal of Statistical Physics (2023) 190:98
doi.org/10.1007/s10955-023-03107-5

Jin Woo Jang, Bernhard Kepka, Alessia Nota, Juan J. L. Velázquez : Vanishing angular singularity limit to the hard-sphere Boltzmann equation in Journal of Statistical Physics no 4, Paper No 77, 14 pp  DOI 10.1007/s10955-023-03089-4

Giunti Arianna and J.J.L. Velazquez: Edge States for generalized Iwatsuka models: magnetic fields having a fast transition across a curve https://arxiv.org/abs/2109.09651 Annales Henri Poincaré 24, No1, 73-105 (2023)

-2022 -

Amrita Ghosh, Barbara Niethammer and Juan J.L. Velázquez : Revisiting Shikhmurzaev’s approach to the contact line problem, in : Acta Applicandae Mathematicae 181 Art. 12 (2022)

Barbara Niethammer, Robert L. Pego, André Schlichting, Juan J. L. Velázquez : Oscillations in a Becker-Döring model with injection and depletion https://arxiv.org/abs/2102.06751v1 in SIAM J. Appl. Math. 82 (2022) 4 1194-1219

Jin Woo Jang and J.J.L. Velazquez: LTE and Non-LTE Solutions in Gases Interacting with Radiation https://arxiv.org/abs/2109.10071 in: J. Stat. Phys. 186 (2022) no 3 47-62

Alessia Nota and Juan J. L. Velázquez: Homoenergetic solutions of the Boltzmann equation : the case of simple-shear deformations in : Mathematics in Engineering DOI: 10.3934/mine.2023019

Christina Lienstromberg, Tania Pernas Castano and J.J.L. Velázquez : Analysis of a two-fluid Taylor-Couette flow with one non-Newtonian fluid  https://arxiv.org/abs/2012.10734 in Journal of Non Linear Science (Febr. 2022), DOI 10.1007/s00332-021-09750-0
trebuchet.public.springernature.app/get_content/6a12bb1e-ad18-4857-8b91-5292ff6403d4

Diego Alonso Orán and J.J.L. Velázquez: Boundary value problems for two dimensional steady incompressible fluids https://arxiv.org/abs/2101.07298   in Journal of Differential Equations Vol. 307 (2022) pp 211-24

- 2021 -

Marina A. Ferreira, Eugenia Franco, Juan J.L. Velázquez : On the self-similar behaviour of coagulation systems with injection https://arxiv.org/abs/2106.12421 in : Annales de l’Institut Henri Poincaré, Analyse Non Linéaire ISSN 0294-1449 (June 2021)

Marina A. Ferreira, Jani Lukkarinen, Alessia Nota and Juan J. L. Velázquez: Localization in stationary non-equilibrium solutions for multicomponent coagulation systems https://arxiv.org/abs/2006.14840 in: CMP 388 (2021) no1 479-506

Giunti Arianna and J.J.L. Velazquez: Edge States for the magnetic Laplacian in domains with smooth boundary https://arxiv.org/abs/1912.07261  in: SIAM Journal on Mathematical Analysis 53 (2021) no 3 3602-3643

Filip Rindler, Sebastian Schwarzacher and Juan J. L. Velazquez : Two-speed solutions to non-convex rate-independent systems https://arxiv.org/abs/1907.05035  in: Archive for Rational Mechanics and Analysis 239 (2021) no 3 1667-1731

Anna Logioti, Barbara Niethammer, Matthias Röger and J.J.L. Velazquez: a parabolic free boundary problem arising in a model of cell polarization https://arxiv.org/pdf/2006.16155.pdf   in: SIAM Journal (2021)

M. Bonacini, B. Niethammer and  J.J.L. Velázquez: Solutions with peaks for a coagulation-fragmentation equation. Part II: aggregation in peaks https://arxiv.org/abs/1906.08966  in: Annales de l'Institut Poincaré C Analyse non linéaire 38 (2021) no 3 601 - 646

T. Pernas Castano and J.J.L. Velázquez: On the dynamics of thin layers of viscous flows inside another viscous fluid https://arxiv.org/abs/2010.15180
in Journal of Differential Equations Vol. 300 pp 252 - 311

M. Ferreira, J. Lukkarinen, A. Nota and J.L. Velazquez: Stationary non-equilibrium solutions for coagulation system in : Archive for Rational Mechanics and Analysis 240 (2021) 809-875 https://link.springer.com/content/pdf/10.1007/s00205-021-01623-w.pdf

A. Nota, J.J.L. Velazquez and R. Winter: Interacting particle systems with long range interactions https://arxiv.org/abs/2003.11605  in: Rendiconti Lincei Matematica e Applicazioni Rend. Lincei Mat. Appl.32 (2021), 335–377 DOI 10.4171/RLM/939

Emre Esenturk and J.J.L. Velázquez: Large time behavior of exchange-driven growth in : Discrete Continuous Dynamical Systems, Vol. 41, N°2, February 2021 first published in 2020 electronically DOI: http://www.aimsciences.org/article/doi/10.3934/dcds.2020299 in: Discrete Continuous Dynamical Systems (2020) ISSN: 1078-0947, eISSN: 1553-5231 https://arxiv.org/abs/1904.11804 :

 

- 2020 -

B. Niethammer, M. Röger and J.J.L. Velázquez: a bulk-surface reaction-diffusion system for cell polarization https://arxiv.org/abs/1902.05842 in Interfaces and free Boundaries Vol 22 (2020) 1, 85-117 DOI 10.4171/IFB/433

A. Bobylev, A. Nota and J.J.L. Velázquez: Self-similar asymptotics for a modified Maxwell-Boltzmann equation in systems subject to deformations https://arxiv.org/abs/1912.12498 in: Communications in Mathematical Physics (2020) 380 409-448

Richard D. James, A. Nota and J.J.L. Velazquez:  Long time asymptotics for homoenergetic solutions of the Boltzmann equation. Hyperbolic-dominated case https://arxiv.org/abs/1906.08816 
in: Nonlinearity, Vol. 33, n°8 DOI: https://iopscience.iop.org/article/10.1088/1361-6544/ab853f

T. Pernas Castano and J.J.L. Velázquez: Analysis of a thin film approximation for two-fluid Taylor- Couette Flows https://ui.adsabs.harvard.edu/abs/2019arXiv190513606P/abstract in: Journal of Differential Equations (2020), Vol. 269, Issue 1 pp 377-419, DOI: https://doi.org/10.1016/j.jde.2019.12.005

Robert L. Pego, J.J.L. Velázquez: Temporal oscillations in Becker Döring equations with linear atomization in: Nonlinearity (2020) 1 - 35 of the London Mathematical Society

- 2019 -

M. Bonacini, B. Niethammer and  J.J.L. Velázquez: Self-similar gelling solutions for the coagulation equation with diagonal kernel  https://arxiv.org/abs/1711.02966    to appear in: Annales de l'Institut Henri Poincare C - Analyse non lineaire 36 (2019) no3 705 - 744

M. Bonacini, B. Niethammer and  J.J.L. Velázquez: Solutions with peaks for a coagulation-fragmentation equation. Part I: stability of the tails arxiv.org/abs/1906.08965
in: Communications in Partial Differential Equations (2019)

B. Niethammer and  J.J.L. Velázquez: Oscillatory traveling wave solutions for coagulation equations Quaterly Appl. Math. (2018)

Richard D. James, Alessia Nota, Juan J. L. Velázquez: Long time asymptotics for homoenergetic solutions of the Boltzmann equation. Collision-dominated case https://arxiv.org/abs/1808.06941  in: Journal of Nonlinear Science (2019) pp 1-31

M. Bonacini, B. Niethammer, J.J.L. Velázquez: Self-similar solutions to coagulation equations with time-dependent tails: the case of homogeneity one  https://arxiv.org/abs/1612.06610 in: Archive For Rational Mechanics and Analysis (2019) Vol. 233, Issue 1 pp 1-43

Barbara Niethammer, Alessia Nota, Sebastian Throm, Juan J.L. Velázquez: Self-similar asymptotic behavior for the solutions of a linear coagulation equation https://arxiv.org/abs/1804.08886  in: Journal of Differential Equations, Vol. 266, Issue 1 (2019) pp 653 - 715

Hyung Ju Hwang, Juhi Jang and J.J.L. Velázquez: On the structure of the singular set for the kinetic Fokker-Planck equations in domains with boundaries. https://arxiv.org/abs/1802.06937
in: Quaterly of Appl. Math. (2019) pp 19-70 doi.org/10.1090/qam/1507

 

- 2018 -

A. Giunti, R. Höfer and J.J.L. Velázquez: Homogenization for the Poisson equation in randomly perforated domains under minimal assumptions on the size of the holes https://arxiv.org/abs/1803.10214 in: Communication in PDEs (2018) Vol. 43 Issue 9

A. Giunti, J.J.L. Velázquez: On the homogenization of random stationary elliptic operators in divergence form
https://arxiv.org/abs/1809.06111 in : Proceedings AMS (2018) https://doi.org/10.1090/proc/14460

Richard D. James, Alessia Nota and Juan J. L. Velázquez: Self-similar profiles for homoenergetic solutions of the Boltzmann equation: particle velocity distribution and entropy https://arxiv.org/abs/1710.03653  in : Archive for Rational Mechanics and Analysis, 1-57 (2018), DOI 10.1007/s00205-018-1289-2

J.J. L. Velázquez and Raphael Winter: The two-particle correlation function for systems with long-range interactions https://arxiv.org/abs/1803.01163  in: Journal of Statistical Physics 173 (2018) No 1, 1-41

Hyung Ju Hwang, Juhi Jang and J.J.L. Velázquez: Nonuniqueness for the kinetic Fokker-Planck equation with inelastic boundary conditions https://arxiv.org/abs/1509.03366
in: Archive for Rational Mechanics and Analysis, (2018), 1-92
DOI 10.1007/s00205-018-1299-0

J.J. L. Velázquez and Raphael Winter: From a non-Markovian system to the Landau equation https://arxiv.org/abs/1707.07544 in: Communications Mathematical Physics, Vol. 361, Issue 1 (2018)

Alessia Nota, Sergio Simonella and J.J.L. Velázquez: On the theory of Lorentz gases with long range interactions https://arxiv.org/abs/1707.04193 in Reviews in Mathematical Physics Vol. 30 (2018)

P. Laurençot, B. Niethammer and J.J.L. Velázquez: Oscillatory dynamics in Smoluchowski's coagulation equation with diagonal kernel http://arxiv.org/abs/1603.02929 in: Kinet. Relat. Models 11 N° 4 (2018), 933--952 doi: 10.3934/krm.2018037

Carlota M. Cuesta, Hans Knüpfer and J.J. L. Velázquez: self-similar lifting and persistent touch-down points in the thin film equation https://arxiv.org/abs/1708.00243
in:SIAM Journal on Mathematical Analysis 50 (2018), n°2, 1900-1917

Bonacini, B. Niethammer, J.J.L. Velázquez: Self-similar solutions to coagulation equations with time-dependent tails: the case of homogeneity smaller than one https://arxiv.org/abs/1704.08905   https://www.tandfonline.com/doi/full/10.1080/03605302.2018.1437447 in: Communications in Partial Differential Equations Vol. 43 (2018) Issue 1

R. Höfer, J.J.L. Velázquez: The method of Reflections, Homogenization and Screening for Poisson and Stokes Equations in Perforated Domains  online version:
https://link.springer.com/article/10.1007%2Fs00205-017-1182-4  in: Archive for Rational Mechanics and Analysis, (March 2018) Vol. 227, Issue 3, pp 1165 - 1221

R.M. Höfer: Sedimentation of Inertialess Particles in Stokes Flows. Comm. Math. Phys. (2018), vol. 360, p. 55 https://link.springer.com/article/10.1007%2Fs00220-018-3131-y

B. Niethammer, J.J.L. Velázquez: Oscillatory travelling wave solutions for coagulation equations https://arxiv.org/abs/1702.02437v1
in: Quarterly of Applied Math. 76 (2018) n°1 153-188. https://doi.org/10.1090/qam/1478   

 

- 2017 -

 

A. Nota, J.J.L. Velázquez : On the growth of a particle coalescing in a Poisson distribution of obstacles  in: Communication in Mathematical Physics, Vol. 354, Sept. 2017, Issue 3 pp 957-1053

 

A. D. Rendall, J.J.L. Velázquez: Veiled singularities for the spherically symmetric massless Einstein-Vlasov  in: Annales Henri Poincaré Vol. 18 N°11 pp. 3565-3631, 2017 http://arxiv.org/abs/1604.06576
DOI 10.1007/s00023-017-0607-9

 

M. Herrmann, B. Niethammer and J.J.L. Velázquez: Instabilities and oscillations in coagulation equations with kernels of homogeneity one http://arxiv.org/abs/1606.09405

in: Quarterly of Applied Math. 75 (2017) 105-130

 

- 2016 -

 

N. Hovsepyan and J.J.L. Velázquez: Hopf Bifurcation in Structural Population Models in: Mathematical Methods in Applied Sciences Vol. 39, Issue 18 p. 5258-5280 (2016)

 

M. Calle, C.M. Cuesta and J.J.L. Velázquez: Interfaces determined by capillarity and gravity in a two-dimensional porous medium in: Interfaces and Free Boundaries Vol. 18, Issue 3, pp. 355-391 (2016)

 

B. Niethammer, S. Throm and J.J.L. Velázquez: Self-similar solutions with fat tails for Smoluchowski's coagulation equation with singular kernels in: Annales de l'Institut Henri Poincaré AN 33 1223-1257 (2016)

 

 M. Helmers, B. Niethammer and J.J.L. Velázquez: Mathematical analysis of a coarsening model with local interactions in: Journal of Nonlinear Science Vol. 26 n°5 1227--1291 (2016), DOI 10.1007/s00332-016-9304-y

 

B. Niethammer, S. Throm and J.J.L. Velázquez: A uniqueness result for self-similar profiles to Smoluchowski's coagulation equation revisited in: Journal of Statistical Physics 164 (2) 399-409 (2016)
DOI 10.1007/s10955-016-1553-5

 

A.H.M. Kierkels, J.J.L. Velázquez: On self-similar solutions to a kinetic equation arising in weak turbulence theory for the nonlinear Schoedinger equation in: Journal of Statistical Physics  163(6), 1350-1393 (2016)

DOI 10.1007/s10955-016-1505-0 http://link.springer.com/article/10.1007/s10955-016-1505-0?wt_mc=internal.event.1.SEM.ArticleAuthorOnlineFirst

 

J. Bandyopadhyay and J.J.L. Velázquez: blow-up rate estimates for the solutions of the bosonic Boltzmann-Nordheim equation,  in: Journal of Mathematical Physics, 56, 063302 (2015) http://dx.doi.org/10.1063/1.4921917

 

M. Escobedo and J.J. L. Velázquez: On the theory of Weak Turbulence for the Nonlinear Schrödinger Equation, in: Memoirs of the AMS (American Mathematical Society), Volume 238, n° 1124 (2015), DOI: http://dx.doi.org/10.1090/memo/1124 (April 2015)

 

A.H.M. Kierkels and J.J.L. Velázquez: On the transfer of energy towards infinity in the theory of weak turbulence for the nonlinear Schrödinger equation, in J. Stat. Phys. Vol. 159 668-712 (2015)

 

M. Herrmann, B. Niethammer, J.J.L. Velázquez: Rate-independent dynamics and Kramers-type phase transitions in nonlocal Fokker-Planck equations with dynamical control to appear in: Archive Rational Mechanics and Analysis Vol. 157 (2014), n° 3, 803-866

 

B. Niethammer and J.J.L. Velázquez: Uniqueness of self-similar solutions to Smoluchowski's coagulation equations for kernels that are close to constant, to appear in : J. Stat. Phys. Vol. 157 (2014) n° 1, 158-181

 

B. Niethammer and J.J.L. Velázquez: Exponential tail behaviour of self-similar solutions to Smoluchowski's coagulation equation, to appear in : Communication Partial Differential Equations, Vol. 39 (2014), n°12, 2314-2350

 

A. D. Rendall and J.J.L. Velázquez: Dynamical properties of models for the Calvin cycle in : Journal of Dynamics and Differential Equations (electronic version)

 

C. Escudero, F. Macià und J.J.L. Velázquez: Kinetic theory and numerical simulations of two-species coagulation, to appear in: Kinetic and Related Models, Vol.7, (2014), n°2 253-290

 

C.M. Cuesta, J.J.L. Velázquez: Existence of solutions describing accumulation in a thin-film flow, in: SIAM Journal of Applied Dynamical Systems (2014), Vol. 13, No 1, pp. 47 - 93

 

M. Escobedo and J.J. L. Velázquez: On the blow up and condensation of supercritical solutions of the Nordheim equation for bosons, to appear in: Communications in Mathematical Physics, Vol. 330 (2014), n°1, 331-365

 

M. Escobedo and J.J.L. Velázquez: finite time blow-up and condensation for the bosonic Nordheim equation, to appear in: Inventiones Mathematicae (2014), pp 1-87
DOI: 10.1007/s00222-014-0539-7

 

Y. Sugiyama, Y. Tsutsui and J.J.L. Velázquez: Global solutions to a chemotaxis system with non-diffusive memory, to appear in: Journal of Mathematical Analysis and Applications, Vol. 410 (2014), n°2 908-917

 

M. Escobedo and J.J.L. Velázquez: Local well posedness for a linear coagulation equation, in Trans. AMS 365 (2013), 1743-1808

 

S. Luckhaus, Y. Sugiyama and J.J.L. Velázquez: Measure valued solutions of the 2D Keller-Segel system, in Arch. Rat. Mech. Anal., Vol.206, Issue 1, pp 31-80 (2012)

 

B. Niethammer and J.J.L. Velázquez: Self-similar solutions with fat tails for Smoluchowski's coagulation equation with locally bounded kernels arxiv.org/abs/1111.6379 Comm.Math. Physics, Vol. 318, Issue 2, pp 505-532 (2013)

 

Miguel Escobedo, J.J.L. Velázquez: Classical non mass preserving solutions of coagulation equations, Annales IHP (C), Vol. 29, Issue 4, pp 589-635 (2012)

 

H.J. Hwang and J.J.L. Velázquez: Bistable stochastic biochemical networks. Part I: Highly specific systems with few chemicals, J.Math.Chem. Vol. 51: 1343-1375 (2013)

 

H.J. Hwang and J.J.L. Velázquez: Bistable stochastic biochemical networks. Part II: large chemical networks and systems with many molecules, to appear in: J.Math.Chem. Vol. 51 Issue 8 2074-2103

 

C.M. Cuesta, J.J.L. Velázquez: Fluid accumulation in thin-film flows driven by surface tension and gravity, in Applied Mathematics Letters Vol. 26, Issue 6, 649-653 (2013)

 

Y. Seki, Y. Sugiyama and J.J.L. Velázquez: multiple peak-aggregations for the Keller-Segel system in Nonlinearity 26 (2013) 319-352

 

M. Vela-Perez, M.A. Fontelos and J.J.L. Velázquez: Ant foraging and minimal paths in simple graphs, in Journal of Theoretical Biology, March 7, 320: 100-12 (2013)

 

K. Kang, I. Primi and J.J.L. Velázquez: a 2D-model of cell sorting induced by propagation of chemical signals along spiral waves, in Communication in Partial Differential Equations, Communications in Partial Differential Equations, Vol. 38, Issue 6, 2013, p.1069-1122

 

I. Primi, A. Stevens and J.J.L. Velázquez: Pattern forming instabilities driven by non-diffusive interactions, in Networks and Heterogeneous Media, Vol.8, No 1, March 2013

 

H.J. Hwang, J. Jang and J.J.L. Velázquez: on global existence of classical solutions for the Vlasov-Poisson system in convex bounded domains, Discrete and Continuous Dynamical Systems (A) 33-2 February 2013.

 

H.J. Hwang, J. Jang and J.J.L. Velázquez: Fokker-Planck equation with absorbing boundary conditions, to appear in: Archive Rational Mechanics and Analysis 214 (2014) 183-233
DOI: 10.1007/s 00205-014-0758-5

 

M. Aguareles, M.A. Fontelos and J.J.L. Velázquez: The structure of the quiescent core in rigidly rotating spirals in a class of excitable systems, Discrete and Continuous Dynamical Systems-B Vol. 17, issue 6 p. 1605-1638 (2012)

 

C. Cuesta and J.J.L. Velázquez: Analysis of oscillations in a drainage equation´, SIAM Journal Math. Analysis, vol. 44, no 3, pp 1588-1616 (2012)

 

M. Herrmann, B. Niethammer and J.J.L. Velázquez: Kramers and non-Kramers phase transitions in many-particle systems with dynamical constraint, in SIAM, Multiscale Modeling and Simulation Vol. 10, n°3, p. 818-852

 

B. Niethammer and J.J.L. Velázquez: Optimal bounds for self-similar solutions to  coagulation equations with multiplicative kernel,  Communications in PDEs, Vol. 36, Issue 12, Dec. 2011 (2049-2061)

 

M. Bodnar and J.J.L. Velázquez: Friction dominated dynamics of interacting particles locally close to crystallographic lattice in Math. Meth. in the Applied Sciences, online Sept. 2012, DOI: 10.1002 mma.2673