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Global cylindrical solution to the compressible MHD equations in an exterior domain
Global weak solutions for a viscous liquidgas model with singular pressure law
1.  Centre of Mathematics for Applications (CMA), University of Oslo, 1053 Blindern, NO0316 Oslo, Norway 
2.  Centre of Mathematics for Applications, University of Oslo, P.O. Box 1053, Blindern, NO0316 Oslo, Norway 
[1] 
Helmut Abels, Harald Garcke, Josef Weber. Existence of weak solutions for a diffuse interface model for twophase flow with surfactants. Communications on Pure & Applied Analysis, 2019, 18 (1) : 195225. doi: 10.3934/cpaa.2019011 
[2] 
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 
[3] 
Daniela De Silva, Fausto Ferrari, Sandro Salsa. Recent progresses on elliptic twophase free boundary problems. Discrete & Continuous Dynamical Systems, 2019, 39 (12) : 69616978. doi: 10.3934/dcds.2019239 
[4] 
Changyan Li, Hui Li. Wellposedness of the twophase flow problem in incompressible MHD. Discrete & Continuous Dynamical Systems, 2021, 41 (12) : 56095632. doi: 10.3934/dcds.2021090 
[5] 
Brahim Amaziane, Leonid Pankratov, Andrey Piatnitski. The existence of weak solutions to immiscible compressible twophase flow in porous media: The case of fields with different rocktypes. Discrete & Continuous Dynamical Systems  B, 2013, 18 (5) : 12171251. doi: 10.3934/dcdsb.2013.18.1217 
[6] 
Theodore Tachim Medjo. A twophase flow model with delays. Discrete & Continuous Dynamical Systems  B, 2017, 22 (9) : 32733294. doi: 10.3934/dcdsb.2017137 
[7] 
Marie Henry, Danielle Hilhorst, Robert Eymard. Singular limit of a twophase flow problem in porous medium as the air viscosity tends to zero. Discrete & Continuous Dynamical Systems  S, 2012, 5 (1) : 93113. doi: 10.3934/dcdss.2012.5.93 
[8] 
Zhen Cheng, Wenjun Wang. The Cauchy problem of a twophase flow model for a mixture of noninteracting compressible fluids. Communications on Pure & Applied Analysis, 2021, 20 (12) : 41554176. doi: 10.3934/cpaa.2021151 
[9] 
Jan Prüss, Jürgen Saal, Gieri Simonett. Singular limits for the twophase Stefan problem. Discrete & Continuous Dynamical Systems, 2013, 33 (11&12) : 53795405. doi: 10.3934/dcds.2013.33.5379 
[10] 
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 
[11] 
T. Tachim Medjo. Averaging of an homogeneous twophase flow model with oscillating external forces. Discrete & Continuous Dynamical Systems, 2012, 32 (10) : 36653690. doi: 10.3934/dcds.2012.32.3665 
[12] 
Esther S. Daus, JosipaPina Milišić, Nicola Zamponi. Global existence for a twophase flow model with crossdiffusion. Discrete & Continuous Dynamical Systems  B, 2020, 25 (3) : 957979. doi: 10.3934/dcdsb.2019198 
[13] 
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 
[14] 
Haiyan Yin, Changjiang Zhu. Convergence rate of solutions toward stationary solutions to a viscous liquidgas twophase flow model in a half line. Communications on Pure & Applied Analysis, 2015, 14 (5) : 20212042. doi: 10.3934/cpaa.2015.14.2021 
[15] 
Yingshan Chen, Mei Zhang. A new blowup criterion for strong solutions to a viscous liquidgas twophase flow model with vacuum in three dimensions. Kinetic & Related Models, 2016, 9 (3) : 429441. doi: 10.3934/krm.2016001 
[16] 
Qinglong Zhang. Delta waves and vacuum states in the vanishing pressure limit of Riemann solutions to BaerNunziato twophase flow model. Communications on Pure & Applied Analysis, 2021, 20 (9) : 32353258. doi: 10.3934/cpaa.2021104 
[17] 
V. S. Manoranjan, HongMing Yin, R. Showalter. On twophase Stefan problem arising from a microwave heating process. Discrete & Continuous Dynamical Systems, 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] 
Barbara Lee Keyfitz, Richard Sanders, Michael Sever. Lack of hyperbolicity in the twofluid model for twophase incompressible flow. Discrete & Continuous Dynamical Systems  B, 2003, 3 (4) : 541563. doi: 10.3934/dcdsb.2003.3.541 
[20] 
Xavier FernándezReal, Xavier RosOton. On global solutions to semilinear elliptic equations related to the onephase free boundary problem. Discrete & Continuous Dynamical Systems, 2019, 39 (12) : 69456959. doi: 10.3934/dcds.2019238 
2020 Impact Factor: 1.916
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