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Linear and nonlinear stability in a diffusional ecotoxicological model with time delays
Wellposedness of a kinetic model of dispersed twophase flow with pointparticles and stability of travelling waves
1.  Laboratoire MIP, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 4, France 
[1] 
Ciprian G. Gal, Maurizio Grasselli. Longtime behavior for a model of homogeneous incompressible twophase flows. Discrete and Continuous Dynamical Systems, 2010, 28 (1) : 139. doi: 10.3934/dcds.2010.28.1 
[2] 
Eberhard Bänsch, Steffen Basting, Rolf Krahl. Numerical simulation of twophase flows with heat and mass transfer. Discrete and Continuous Dynamical Systems, 2015, 35 (6) : 23252347. doi: 10.3934/dcds.2015.35.2325 
[3] 
Jie Jiang, Yinghua Li, Chun Liu. Twophase incompressible flows with variable density: An energetic variational approach. Discrete and Continuous Dynamical Systems, 2017, 37 (6) : 32433284. doi: 10.3934/dcds.2017138 
[4] 
Helmut Abels, Andreas Marquardt. On a linearized MullinsSekerka/Stokes system for twophase flows. Discrete and Continuous Dynamical Systems  S, 2021, 14 (11) : 39733987. doi: 10.3934/dcdss.2020467 
[5] 
Jan Prüss, Yoshihiro Shibata, Senjo Shimizu, Gieri Simonett. On wellposedness of incompressible twophase flows with phase transitions: The case of equal densities. Evolution Equations and Control Theory, 2012, 1 (1) : 171194. doi: 10.3934/eect.2012.1.171 
[6] 
Guochun Wu, Yinghui Zhang. Global analysis of strong solutions for the viscous liquidgas twophase flow model in a bounded domain. Discrete and Continuous Dynamical Systems  B, 2018, 23 (4) : 14111429. doi: 10.3934/dcdsb.2018157 
[7] 
Hartmut Schwetlick, Daniel C. Sutton, Johannes Zimmer. On the $\Gamma$limit for a nonuniformly bounded sequence of twophase metric functionals. Discrete and Continuous Dynamical Systems, 2015, 35 (1) : 411426. doi: 10.3934/dcds.2015.35.411 
[8] 
Michela Eleuteri, Elisabetta Rocca, Giulio Schimperna. On a nonisothermal diffuse interface model for twophase flows of incompressible fluids. Discrete and Continuous Dynamical Systems, 2015, 35 (6) : 24972522. doi: 10.3934/dcds.2015.35.2497 
[9] 
Clément Cancès. On the effects of discontinuous capillarities for immiscible twophase flows in porous media made of several rocktypes. Networks and Heterogeneous Media, 2010, 5 (3) : 635647. doi: 10.3934/nhm.2010.5.635 
[10] 
Hirokazu Saito, Xin Zhang. Unique solvability of elliptic problems associated with twophase incompressible flows in unbounded domains. Discrete and Continuous Dynamical Systems, 2021, 41 (10) : 46094643. doi: 10.3934/dcds.2021051 
[11] 
Kenta Ohi, Tatsuo Iguchi. A twophase problem for capillarygravity waves and the BenjaminOno equation. Discrete and Continuous Dynamical Systems, 2009, 23 (4) : 12051240. doi: 10.3934/dcds.2009.23.1205 
[12] 
Dieter Bothe, Jan Prüss. Modeling and analysis of reactive multicomponent twophase flows with mass transfer and phase transition the isothermal incompressible case. Discrete and Continuous Dynamical Systems  S, 2017, 10 (4) : 673696. doi: 10.3934/dcdss.2017034 
[13] 
Jan Prüss, Jürgen Saal, Gieri Simonett. Singular limits for the twophase Stefan problem. Discrete and Continuous Dynamical Systems, 2013, 33 (11&12) : 53795405. doi: 10.3934/dcds.2013.33.5379 
[14] 
Theodore Tachim Medjo. A twophase flow model with delays. Discrete and Continuous Dynamical Systems  B, 2017, 22 (9) : 32733294. doi: 10.3934/dcdsb.2017137 
[15] 
Marianne Korten, Charles N. Moore. Regularity for solutions of the twophase Stefan problem. Communications on Pure and Applied Analysis, 2008, 7 (3) : 591600. doi: 10.3934/cpaa.2008.7.591 
[16] 
Qinglong Zhang. Delta waves and vacuum states in the vanishing pressure limit of Riemann solutions to BaerNunziato twophase flow model. Communications on Pure and Applied Analysis, 2021, 20 (9) : 32353258. doi: 10.3934/cpaa.2021104 
[17] 
DaPeng Li. Phase transition of oscillators and travelling waves in a class of relaxation systems. Discrete and Continuous Dynamical Systems  B, 2016, 21 (8) : 26012614. doi: 10.3934/dcdsb.2016063 
[18] 
Matthieu Alfaro, Jérôme Coville, Gaël Raoul. Bistable travelling waves for nonlocal reaction diffusion equations. Discrete and Continuous Dynamical Systems, 2014, 34 (5) : 17751791. doi: 10.3934/dcds.2014.34.1775 
[19] 
T. Tachim Medjo. Averaging of an homogeneous twophase flow model with oscillating external forces. Discrete and Continuous Dynamical Systems, 2012, 32 (10) : 36653690. doi: 10.3934/dcds.2012.32.3665 
[20] 
Daniela De Silva, Fausto Ferrari, Sandro Salsa. Recent progresses on elliptic twophase free boundary problems. Discrete and Continuous Dynamical Systems, 2019, 39 (12) : 69616978. doi: 10.3934/dcds.2019239 
2021 Impact Factor: 1.497
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