Please find all publications under:

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

 

Recent Preprints

Jin Woo Jang and J.J.L. Velazquez: LTE and Non-LTE Solutions in Gases Interacting with Radiation https://arxiv.org/abs/2109.10071

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

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

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

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/2102.06751v1nas 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

Jin Woo Jang and J.J.L. Velazquez: Kinetic Models for Semiflexible Polymers in a Half-plane https://arxiv.org/abs/2011.01491

B. Niethammer, M. Röger and J.J.L. Velázquez: a bulk-surface reaction-diffusion system for cell polarization https://arxiv.org/abs/1902.05842

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Articles to appear:

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 to appear in: CMP

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  to appear in: SIAM Journal

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 - Analyse non lineaire

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 to appear in: Annales de l'Institut Poincaré Analyse non linéaire

Filip Rindler, Sebastian Schwarzacher and Juan J. L. Velazquez : Two-speed solutions to non-convex rate-independent systems https://arxiv.org/abs/1907.05035 to appear in: Archive for Rational Mechanics and Analysis

Giunti Arianna and J.J.L. Velazquez: Edge States for the magnetic Laplacian in domains with smooth boundary https://arxiv.org/abs/1912.07261 to appear in: SIAM Journal on Mathematical Analysis

-2022 -

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

 

Recent Publications :

- 2021 -

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 -

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: 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

 

News

Der SFB 1060 Die Mathematik der emergenten Effekte hat eine dritte Förderperiode erhalten. (26.11.20)

Prof. Dr. Andreas Eberle erhält den diesjährigen Lehrpreis der Universität Bonn. (22.07.2020)

Herr Dr. Richard Höfer erhielt den Hausdorff-Gedächtnispreis 2019 der Fachgruppe Mathematik für die beste Disseration. Betreut wurde die Arbeit von Prof. J. Velázquez (29.01.2020).

Einer der Preise der Bonner Mathematischen Gesellschaft (BMG) für die besten Bachelorarbeiten 2019 ging an Herrn Peter Holderrieth unter der Betreuung von Prof. A. Eberle (29.01.2020).

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