Institute for applied mathematics

Please find all publications under:

http://www.ams.org/mathscinet/search/author.html?mrauthid=289301

 

 

Preprints:

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

 

J.J. L. Velázquez and Raphael Winter: From a non-Markovian system to the Landau equation https://arxiv.org/abs/1707.07544

 

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

 

M. 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

 

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

 

R. Höfer, J.J.L. Velázquez: The method of Reflections, Homogenization and Screening for Poisson and Stokes Equations in Perforated Domains http://arxiv.org/abs/1603.06750

 

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)

 

B. Niethammer, S. Throm and J. J. L. Velázquez. A revised proof of uniqueness of self-similar profiles to Smoluchowski's coagulation equation for kernels close to constant. 
( http://arxiv.org/abs/1510.03361 )  Oct. 2015

 

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.

 

S. Scrobogna and J. J. L. Velázquez: A hyperbolic problem with non-local constraint describing ion-rearrangement in a model for ion-lithium batteries. arXiv:1502.05843

  

 A. Stevens and J.J.L. Velázquez: asymptotic analysis of a chemotaxis system with non-diffusive memory

 

Articles to appear:

 

   

Recent Publications :

 

 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 http://arxiv.org/abs/1604.06576
DOI 10.1007/s00023-017-0607-9

 

B. Niethammer, J.J.L. Velázquez: Oscillatory travelling wave solutions for coagulation equations https://arxiv.org/abs/1702.02437v1

 in: Quarterly of Applied Math. https://doi.org/10.1090/qam/1478   Aug. 2017.  

 

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

 

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, 26(5):1227--1291, 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

Prof. Dr. S. Müller erhält den diesjährigen Lehrpreis der Universität Bonn (07.07.17).

Prof. Dr. Michael Ortiz kommt als Bonn Research Chair ans IAM (Pressemitteilung, 29.7.2016).

Prof. Dr. S. Conti erhält den diesjährigen Lehrpreis der Universität Bonn (05.07.2016).

Prof. Dr. Karl-Theodor Sturm, Koordinator des Hausdorff Zentrums für Mathematik an der Universität Bonn, erhält für seine eigene Forschung einen begehrten Advanced Grant des Europäischen Forschungsrats (ERC). (Pressemitteilung 21.04.2016)

Prof. Dr. Stefan Müller has been invited to become full member of the scientific society “Academia Europaea” in November. Only European scientists, who have been recommended by a review board and are confirmed by a vote of the council, can join the society. (06.01.2016)

Contact

Managing Director: Prof. Dr. Anton Bovier
Chief Administrator: Dr. B. Doerffel
geschaeftsfuehrung@iam.uni-bonn.de
Imprint

Mailing address

Institute for Applied Mathematics
University of Bonn
Endenicher Allee 60
D-53115 Bonn / Germany