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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 & Continuous Dynamical Systems  A, 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 & Continuous Dynamical Systems  A, 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 & Continuous Dynamical Systems  A, 2017, 37 (6) : 32433284. doi: 10.3934/dcds.2017138 
[4] 
Jan Prüss, Yoshihiro Shibata, Senjo Shimizu, Gieri Simonett. On wellposedness of incompressible twophase flows with phase transitions: The case of equal densities. Evolution Equations & Control Theory, 2012, 1 (1) : 171194. doi: 10.3934/eect.2012.1.171 
[5] 
Guochun Wu, Yinghui Zhang. Global analysis of strong solutions for the viscous liquidgas twophase flow model in a bounded domain. Discrete & Continuous Dynamical Systems  B, 2018, 23 (4) : 14111429. doi: 10.3934/dcdsb.2018157 
[6] 
Hartmut Schwetlick, Daniel C. Sutton, Johannes Zimmer. On the $\Gamma$limit for a nonuniformly bounded sequence of twophase metric functionals. Discrete & Continuous Dynamical Systems  A, 2015, 35 (1) : 411426. doi: 10.3934/dcds.2015.35.411 
[7] 
Michela Eleuteri, Elisabetta Rocca, Giulio Schimperna. On a nonisothermal diffuse interface model for twophase flows of incompressible fluids. Discrete & Continuous Dynamical Systems  A, 2015, 35 (6) : 24972522. doi: 10.3934/dcds.2015.35.2497 
[8] 
Clément Cancès. On the effects of discontinuous capillarities for immiscible twophase flows in porous media made of several rocktypes. Networks & Heterogeneous Media, 2010, 5 (3) : 635647. doi: 10.3934/nhm.2010.5.635 
[9] 
Kenta Ohi, Tatsuo Iguchi. A twophase problem for capillarygravity waves and the BenjaminOno equation. Discrete & Continuous Dynamical Systems  A, 2009, 23 (4) : 12051240. doi: 10.3934/dcds.2009.23.1205 
[10] 
Dieter Bothe, Jan Prüss. Modeling and analysis of reactive multicomponent twophase flows with mass transfer and phase transition the isothermal incompressible case. Discrete & Continuous Dynamical Systems  S, 2017, 10 (4) : 673696. doi: 10.3934/dcdss.2017034 
[11] 
Theodore Tachim Medjo. A twophase flow model with delays. Discrete & Continuous Dynamical Systems  B, 2017, 22 (9) : 32733294. doi: 10.3934/dcdsb.2017137 
[12] 
Jan Prüss, Jürgen Saal, Gieri Simonett. Singular limits for the twophase Stefan problem. Discrete & Continuous Dynamical Systems  A, 2013, 33 (11&12) : 53795405. doi: 10.3934/dcds.2013.33.5379 
[13] 
Marianne Korten, Charles N. Moore. Regularity for solutions of the twophase Stefan problem. Communications on Pure & Applied Analysis, 2008, 7 (3) : 591600. doi: 10.3934/cpaa.2008.7.591 
[14] 
DaPeng Li. Phase transition of oscillators and travelling waves in a class of relaxation systems. Discrete & Continuous Dynamical Systems  B, 2016, 21 (8) : 26012614. doi: 10.3934/dcdsb.2016063 
[15] 
Matthieu Alfaro, Jérôme Coville, Gaël Raoul. Bistable travelling waves for nonlocal reaction diffusion equations. Discrete & Continuous Dynamical Systems  A, 2014, 34 (5) : 17751791. doi: 10.3934/dcds.2014.34.1775 
[16] 
T. Tachim Medjo. Averaging of an homogeneous twophase flow model with oscillating external forces. Discrete & Continuous Dynamical Systems  A, 2012, 32 (10) : 36653690. doi: 10.3934/dcds.2012.32.3665 
[17] 
V. S. Manoranjan, HongMing Yin, R. Showalter. On twophase Stefan problem arising from a microwave heating process. Discrete & Continuous Dynamical Systems  A, 2006, 15 (4) : 11551168. doi: 10.3934/dcds.2006.15.1155 
[18] 
Feng Ma, Mingfang Ni. A twophase method for multidimensional number partitioning problem. Numerical Algebra, Control & Optimization, 2013, 3 (2) : 203206. doi: 10.3934/naco.2013.3.203 
[19] 
Theodore TachimMedjo. Optimal control of a twophase flow model with state constraints. Mathematical Control & Related Fields, 2016, 6 (2) : 335362. doi: 10.3934/mcrf.2016006 
[20] 
Esther S. Daus, JosipaPina Milišić, Nicola Zamponi. Global existence for a twophase flow model with crossdiffusion. Discrete & Continuous Dynamical Systems  B, 2017, 22 (11) : 00. doi: 10.3934/dcdsb.2019198 
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