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Kinetic models for polymers with inertial effects
1. | 3-Université de Toulouse (UPS, INSA, UT1, UTM) & CNRS, Institut de Mathématiques de Toulouse (UMR 5219), 118 Route de Narbonne, F-31062 Toulouse |
2. | Department of Mathematics, Iowa State University, Ames, IA 50011 |
[1] |
Ionel Sorin Ciuperca, Erwan Hingant, Liviu Iulian Palade, Laurent Pujo-Menjouet. Fragmentation and monomer lengthening of rod-like polymers, a relevant model for prion proliferation. Discrete and Continuous Dynamical Systems - B, 2012, 17 (3) : 775-799. doi: 10.3934/dcdsb.2012.17.775 |
[2] |
Young-Pil Choi, Seok-Bae Yun. A BGK kinetic model with local velocity alignment forces. Networks and Heterogeneous Media, 2020, 15 (3) : 389-404. doi: 10.3934/nhm.2020024 |
[3] |
Giuseppe Toscani. A kinetic description of mutation processes in bacteria. Kinetic and Related Models, 2013, 6 (4) : 1043-1055. doi: 10.3934/krm.2013.6.1043 |
[4] |
Juhi Jang, Jinmyoung Seok. Kinetic description of stable white dwarfs. Kinetic and Related Models, 2022, 15 (4) : 605-620. doi: 10.3934/krm.2021033 |
[5] |
John W. Barrett, Endre Süli. Existence of global weak solutions to Fokker-Planck and Navier-Stokes-Fokker-Planck equations in kinetic models of dilute polymers. Discrete and Continuous Dynamical Systems - S, 2010, 3 (3) : 371-408. doi: 10.3934/dcdss.2010.3.371 |
[6] |
Rossella Della Marca, Nadia Loy, Andrea Tosin. An SIR–like kinetic model tracking individuals' viral load. Networks and Heterogeneous Media, 2022, 17 (3) : 467-494. doi: 10.3934/nhm.2022017 |
[7] |
Paolo Barbante, Aldo Frezzotti, Livio Gibelli. A kinetic theory description of liquid menisci at the microscale. Kinetic and Related Models, 2015, 8 (2) : 235-254. doi: 10.3934/krm.2015.8.235 |
[8] |
Adriano Festa, Andrea Tosin, Marie-Therese Wolfram. Kinetic description of collision avoidance in pedestrian crowds by sidestepping. Kinetic and Related Models, 2018, 11 (3) : 491-520. doi: 10.3934/krm.2018022 |
[9] |
Ondřej Kreml, Milan Pokorný. On the local strong solutions for the FENE dumbbell model. Discrete and Continuous Dynamical Systems - S, 2010, 3 (2) : 311-324. doi: 10.3934/dcdss.2010.3.311 |
[10] |
Wendi Wang. Epidemic models with nonlinear infection forces. Mathematical Biosciences & Engineering, 2006, 3 (1) : 267-279. doi: 10.3934/mbe.2006.3.267 |
[11] |
Xiao-Dong Yang, Roderick V. N. Melnik. Accounting for the effect of internal viscosity in dumbbell models for polymeric fluids and relaxation of DNA. Conference Publications, 2007, 2007 (Special) : 1052-1060. doi: 10.3934/proc.2007.2007.1052 |
[12] |
Sebastián Ferrer, Francisco Crespo. Parametric quartic Hamiltonian model. A unified treatment of classic integrable systems. Journal of Geometric Mechanics, 2014, 6 (4) : 479-502. doi: 10.3934/jgm.2014.6.479 |
[13] |
Ghendrih Philippe, Hauray Maxime, Anne Nouri. Derivation of a gyrokinetic model. Existence and uniqueness of specific stationary solution. Kinetic and Related Models, 2009, 2 (4) : 707-725. doi: 10.3934/krm.2009.2.707 |
[14] |
Elena Rossi. A justification of a LWR model based on a follow the leader description. Discrete and Continuous Dynamical Systems - S, 2014, 7 (3) : 579-591. doi: 10.3934/dcdss.2014.7.579 |
[15] |
Angélique Perrillat-Mercerot, Alain Miranville, Nicolas Bourmeyster, Carole Guillevin, Mathieu Naudin, Rémy Guillevin. What mathematical models can or cannot do in glioma description and understanding. Discrete and Continuous Dynamical Systems - S, 2020, 13 (8) : 2165-2193. doi: 10.3934/dcdss.2020184 |
[16] |
Faker Ben Belgacem. Uniqueness for an ill-posed reaction-dispersion model. Application to organic pollution in stream-waters. Inverse Problems and Imaging, 2012, 6 (2) : 163-181. doi: 10.3934/ipi.2012.6.163 |
[17] |
Lingbing He, Claude Le Bris, Tony Lelièvre. Periodic long-time behaviour for an approximate model of nematic polymers. Kinetic and Related Models, 2012, 5 (2) : 357-382. doi: 10.3934/krm.2012.5.357 |
[18] |
Elvise Berchio, Filippo Gazzola. The role of aerodynamic forces in a mathematical model for suspension bridges. Conference Publications, 2015, 2015 (special) : 112-121. doi: 10.3934/proc.2015.0112 |
[19] |
Dieter Armbruster, Matthew Wienke. Kinetic models and intrinsic timescales: Simulation comparison for a 2nd order queueing model. Kinetic and Related Models, 2019, 12 (1) : 177-193. doi: 10.3934/krm.2019008 |
[20] |
Seung-Yeal Ha, Doron Levy. Particle, kinetic and fluid models for phototaxis. Discrete and Continuous Dynamical Systems - B, 2009, 12 (1) : 77-108. doi: 10.3934/dcdsb.2009.12.77 |
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