Universität Bonn

Junior Trimester Program: "Kinetic Theory"


May 13 – August 23, 2019

Description: The Junior Trimester Program gives young mathematicians (postdocs, junior faculty) the opportunity to carry out collaborative research in Kinetic Theory.

We seek applications from 30 scientists woldwide, preferably groups but also individuals, whose research interests fit this theme. Individuals should be open to project work with other participants. The stay in Bonn is fully financed by HIM, so that successful candidates can apply for leave from their home institutions. We recommend stays of 4 months, but visits as short as 4 weeks are possible. 

Associated Events: 

  • Summer School: Trails in kinetic theory: foundational aspects and numerical methods (May 20-24, 2019)
  • Workshop: Probabilistic and variational methods in kinetic theory (May 13-17, 2019)
  • Workshop: Qualitative behaviour of kinetic equations and related problems: numerical and theoretical aspects (June 3-7, 2019)
  • Workshop: Analytical and Computational Problems for Mixtures and Plasma Dynamics (June 17-21, 2019)
  • Workshop: Effective equations: frontiers in classical and quantum systems (June 24-28, 2019)

Publications

No.
Author(s)
Title
Preprint
Publication
2019b01 Gvalani, R.S.; Schlichting, A. Barriers of the McKean - Vlasov energy via a mountain pass theorem in the space of probability measures 1905.11823 Journal of Functional Analysis 279(11) (2020), 108720,
https://doi.org/10.1016/j.jfa.2020.108720
2019b02 Hwang, H.J.; Jang, J.W.; Jo, H.; Lee, J.Y. Trend to Equilibrium for the Kinetic Fokker-Planck Equation via the Neural Network Approach 1911.09843 J. Comput. Phys. 419 (2020), 109665, https://doi.org/10.1016/j.jcp.2020.109665
2019b03 Braukhoff, M.; Tang, B.Q. Global solutions for chemotaxis-Navier-Stokes system with Robin boundary conditions 1909.12547 J. Differential Equations 269(12) (2020), 10630-10669, https://doi.org/10.1016/j.jde.2020.06.041
2019b04 Fajman, D.; Heißel, G.; Maliborski, M. On the oscillations and future asymptotics of locally rotationally symmetric Bianchi type III cosmologies with a massive scalar field 2001.00252
 
Classical Quantum Gravity 37(13) (2020), 135009, https://doi.org/10.1088/1361-6382/ab8c97
2019b05 Jang, J.W.; Yun, S.-B. Propagation of Lp estimates for the Spatially Homogeneous Relativistic Boltzmann Equation 2001.11672 J. Differential Equations 272 (2021), 105-126, https://doi.org/10.1016/j.jde.2020.09.027
2019b06 Esposito, A.; Patacchini, F.S.; Schlichting, A.; Slepčev, D. Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit 1912.09834 Arch. Ration. Mech. Anal. 240(2) (2021), 699-760, https://doi.org/10.1007/s00205-021-01631-w
2019b07 Di Francesco, M.; Esposito, A.; Schmidtchen, M. Many-particle limit for a system of interaction equations driven by Newtonian potentials 2008.11106 Calc. Var. Partial Differential Equations 60(2) (2021), Paper No. 68, 44, https://doi.org/10.1007/s00526-021-01960-4
2019b08 Eichenberg, C.; Schlichting, A. Self-similar behavior of the exchange-driven growth model with product kernel 2005.11980 Comm. Partial Differential Equations 46(3) (2021), 498-546, https://doi.org/10.1080/03605302.2020.1845205
2019b09 Laurençot, P. Stationary solutions to Smoluchowski's coagulation equation with source 2006.15879 North-West. Eur. J. Math. 6 (2020), 137-164
2019b10 Tran, H.V.; Van, T.-S. Coagulation-Fragmentation equations with multiplicative coagulation kernel and constant fragmentation kernel 1910.13424 Comm. Pure Appl. Math. 75(6) (2022), 1292-1331, https://doi.org/10.1002/cpa.21979
2019b11 Cañizo, J.A.; Lods, B.; Throm, S. Contractivity for Smoluchowski's coagulation equation with solvable kernels 2003.11848 Bull. Lond. Math. Soc. 53(1) (2021), 248-258, https://doi.org/10.1112/blms.12417 
2019b12 Nota, A.; Saffirio, C.; Simonella, S. Two-dimensional Lorentz process for magnetotransport: Boltzmann-Grad limit 1910.12983 Ann. Inst. Henri Poincaré Probab. Stat. 58(2) (2022), 1228-1243, https://doi.org/10.1214/21-aihp1181
2019b13 Pulvirenti, M.; Simonella, S. On the cardinality of collisional clusters for hard spheres at low density 2005.09962 Discrete Contin. Dyn. Syst. 41(8) (2021), 3903-3914, https://doi.org/10.3934/dcds.2021021
2019b14 Arnold, A.; Einav, A.; Signorello, B.; Wöhrer, T. Large time convergence of the non-homogeneous Goldstein-Taylor Equation 2007.11792 J. Stat. Phys. 182(2) (2021), Paper No. 41, 35, https://doi.org/10.1007/s10955-021-02702-8
2019b15 Daus, E.S.; Jin, S.; Liu, L. On the multi-species Boltzmann equation with uncertainty and its stochastic Galerkin approximation 1909.01231 ESAIM Math. Model. Numer. Anal. 55(4) (2021), 1323-1345, https://doi.org/10.1051/m2an/2021022
2019b16 Einav, A.; Morgan, J.J.; Tang, B.Q. Indirect diffusion effect in degenerate reaction-diffusion systems 2001.00852 SIAM J. Math. Anal. 52(5) (2020), 4314-4361, https://doi.org/10.1137/20M1319930
2019b17 Evans, J.; Moyano, I. Quantitative Rates of Convergence to Equilibrium for the Degenerate Linear Boltzmann equation on the Torus 1907.12836 to appear in J. London Math. Soc., https://doi.org/10.1112/blms.12977
2019b18 Niethammer, B.; Pego, R.L.; Schlichting, A.; Velázquez, J.J.L. Oscillations in a Becker-Döring model with injection and depletion 2102.06751 SIAM Journal on Applied Mathematics 82(4) (2022), 1194-1219, https://doi.org/10.1137/20M1398664
2019b19 Ferreira, M.A.; Lukkarinen, J.; Nota, A.; Velázquez, J.J.L. Asymptotic localization in multicomponent mass conserving coagulation equations, submited 2203.08076
2019b20 Ferreira, M.A.; E. Franco, E.; Lukkarinen, J.; Nota, A.; Velázquez, J.J.L. Coagulation equations with source leading to anomalous self-similarity 2305.16921 J. Phys. A: Math. Theor. 56 (2023), 485002, https://doi.org/10.1088/1751-8121/ad0822
2010b21 Cristian, I.; Ferreira, M.A.; Franco, E.; Velázquez, J.J.L.  Long-time asymptotics for coagulation equations with injection that do not have stationary solutions

2211.16399

Arch Rational Mech Anal. 247 (2023), 103, https://doi.org/10.1007/s00205-023-01934-0
2010b22 Ferreira, M.A.; Lukkarinen, J.; Nota, A.; Velázquez, J.J.L.;  Non-equilibrium stationary solutions for multicomponent coagulation systems with injection

J. Stat. Phys. 190 (2023), 98, https://doi.org/10.1007/s10955-023-03107-5
2010b23 Ferreira, M.A.; Franco, E.; Velázquez, J.J.L. On the self-similar behaviour of coagulation systems with injection

2106.12421

Ann. Inst. H. Poincaré (2022), online first, https://doi.org/10.4171/AIHPC/61
2010b24 Ferreira, M.A.; Lukkarinen, J.; Nota, A.; Velázquez, J.J.L. Localization in stationary non-equilibrium solutions for multicomponent coagulation systems

2006.14840

Commun. Math. Phys. 388 (2021), 479–506, https://doi.org/10.1007/s00220-021-04201-z
2010b25 Ferreira, M.A.; Lukkarinen, J.; Nota, A.; Velázquez, J.J.L. Stationary non-equilibrium solutions for coagulation systems

1909.10608
 

Arch. Rational Mech. Anal. 240 (2021), 809–875, https://doi.org/10.1007/s00205-021-01623-w
2010b26 Ferreira, M.A. Coagulation equations for aerosol dynamics

2009.04436

In: Albi, G., Merino-Aceituno, S., Nota, A., Zanella, M. (eds) Trails in Kinetic Theory (2021), SEMA SIMAI Springer Series, vol 25. Springer, Cham. https://doi.org/10.1007/978-3-030-67104-4_3


Participants

Name
Affiliation
Sona Akopian Brown University
Giacomo Albi University of Verona
Ricardo Alonso Pontifícia Universidade Católica do Rio
Nathalie Ayi Sorbonne Université
Julio Backhoff Veraguas Universität Wien
Veronique Bagland Université Clermont Auvergne
Rafael Bailo Imperial College London
Roberta Bianchini Ecole Normale Supérieure de Lyon
Alexander Bobylev Russian Academy of Sciences
Marco Bonacini University of Trento
Maxime Breden Technische Universität München
Marc Briant Université Paris Descartes
José A. Cañizo Universidad de Granada
Ludovic Cesbron École Polytechnique
Kirill Cherednichenko University of Bath
Carlota Maria Cuesta Romero University of the Basque Country
Esther Sarah Daus Vienna University of Technology (TU Wien)
Erica De la Canal University of Texas at Austin
Giacomo Di Gesù TU Wien
Helge Dietert Institut de Mathématiques de Jussieu - Paris Rive Gauche
Amit Einav Karl-Franzens-Universität Graz
Miguel Escobedo Universidad del País Vasco / Euskal Herriko Unibertsitatea
Emre Esenturk University of Warwick
Antonio Esposito University of L'Aquila
Josephine Evans University of Warwick
Martin Evans University of Edinburgh
Marina Ferreira University of Helsinki
Francis Filbet Université Toulouse III Paul Sabatier
Irene Martinez Gamba The University of Texas at Austin
François Golse Ecole Polytechnique, Palaiseau
Stefan Wolfgang Grosskinsky University of Warwick
Jessica Guerand University of Cambridge
Rishabh Gvalani Max Planck Institut für Mathematik
Lingbing He Tsinghua University
Gernot Heißel Universität Wien
Maxime Herda Université de Lille - Inria
Hélène Hivert École centrale de Lyon
Alexandra Holzinger TU Wien
Harsha Hutridurga Ramaiah Indian Institute of Technology Bombay
Richard Höfer IMJ-PRG, Université de Paris
Richard D. James University of Minnesota
Jin Woo Jang University of Bonn
Jonas Jansen University Bonn
Shi Jin Shanghai Jiao Tong University
Shi Jin Shanghai Jiao Tong University
Krishan Kumar Indian Institute of Technology Bombay
Christian Kühn Technical University of Munich
Philippe Laurencot Université Paul Sabatier
Philippe Laurencot Université Paul Sabatier
Liu Liu University of Texas at Austin
Bertrand Lods University of Turin
Jani Lukkarinen University of Helsinki
Karsten Matthies University of Bath
Jose Morales Escalante McMaster University
Ivan Moyano University of Cambridge
Alessia Nota University of L'Aquila
Robert L. Pego Carnegie Mellon University
Mario Pulvirenti Universita' di Roma La Sapienza
Mario Pulvirenti Universita' di Roma La Sapienza
Alejandro Ramos Lora Universidad de Granada
Chiara Saffirio University of Basel
André Schlichting Universität Bonn
Markus Schmidtchen Technische Universität Dresden
Beatrice Signorello TU Wien
Sergio Simonella CNRS & UMPA, École Normale Supérieure de Lyon
Anna Szczekutowicz University of Texas at Austin
Bao Quoc Tang University of Graz
Maja Taskovic University of Pennsylvania
Florian Theil University of Warwivk
Sebastian Throm Universidad de Granada
Ariane Trescases Université Toulouse III Paul Sabatier
Truong-Son Van Carnegie Mellon University
Max Weissenbacher Universität Bonn
Raphael Winter University of Bonn
Tobias Wöhrer TU Wien
Junjian Yang TU Wien
Havva Yoldas Université Claude Bernard Lyon 1
Mattia Zanella Politecnico di Torino

This list does not include people who only participate in workshops or the Summer School.

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