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Global cylindrical solution to the compressible MHD equations in an exterior domain
1.  School of Information Management, Jiangxi University of Finance & Economics, Nanchang 330013, China 
2.  School of Mathematical Sciences, Xiamen University, Xiamen 361005, China 
[1] 
Bernard Brighi, S. Guesmia. Asymptotic behavior of solution of hyperbolic problems on a cylindrical domain. Conference Publications, 2007, 2007 (Special) : 160169. doi: 10.3934/proc.2007.2007.160 
[2] 
Pavol Quittner, Philippe Souplet. A priori estimates of global solutions of superlinear parabolic problems without variational structure. Discrete and Continuous Dynamical Systems, 2003, 9 (5) : 12771292. doi: 10.3934/dcds.2003.9.1277 
[3] 
Kazuhiro Ishige, Michinori Ishiwata. Global solutions for a semilinear heat equation in the exterior domain of a compact set. Discrete and Continuous Dynamical Systems, 2012, 32 (3) : 847865. doi: 10.3934/dcds.2012.32.847 
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Takeshi Taniguchi. The existence and decay estimates of the solutions to $3$D stochastic NavierStokes equations with additive noise in an exterior domain. Discrete and Continuous Dynamical Systems, 2014, 34 (10) : 43234341. doi: 10.3934/dcds.2014.34.4323 
[5] 
Ovidiu Carja, Victor Postolache. A Priori estimates for solutions of differential inclusions. Conference Publications, 2011, 2011 (Special) : 258264. doi: 10.3934/proc.2011.2011.258 
[6] 
Ahmad Z. Fino, Wenhui Chen. A global existence result for twodimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain. Communications on Pure and Applied Analysis, 2020, 19 (12) : 53875411. doi: 10.3934/cpaa.2020243 
[7] 
Andrea Cianchi, Vladimir Maz'ya. Global gradient estimates in elliptic problems under minimal data and domain regularity. Communications on Pure and Applied Analysis, 2015, 14 (1) : 285311. doi: 10.3934/cpaa.2015.14.285 
[8] 
Manuel Núñez. Existence of solutions of the equations of electron magnetohydrodynamics in a bounded domain. Discrete and Continuous Dynamical Systems, 2010, 26 (3) : 10191034. doi: 10.3934/dcds.2010.26.1019 
[9] 
Kim Dang Phung. Boundary stabilization for the wave equation in a bounded cylindrical domain. Discrete and Continuous Dynamical Systems, 2008, 20 (4) : 10571093. doi: 10.3934/dcds.2008.20.1057 
[10] 
Fei Chen, Boling Guo, Xiaoping Zhai. Global solution to the 3D inhomogeneous incompressible MHD system with discontinuous density. Kinetic and Related Models, 2019, 12 (1) : 3758. doi: 10.3934/krm.2019002 
[11] 
Fei Chen, Yongsheng Li, Huan Xu. Global solution to the 3D nonhomogeneous incompressible MHD equations with some large initial data. Discrete and Continuous Dynamical Systems, 2016, 36 (6) : 29452967. doi: 10.3934/dcds.2016.36.2945 
[12] 
Yana Guo, Yan Jia, BoQing Dong. Global stability solution of the 2D MHD equations with mixed partial dissipation. Discrete and Continuous Dynamical Systems, 2022, 42 (2) : 885902. doi: 10.3934/dcds.2021141 
[13] 
Xavier Cabré, Manel Sanchón, Joel Spruck. A priori estimates for semistable solutions of semilinear elliptic equations. Discrete and Continuous Dynamical Systems, 2016, 36 (2) : 601609. doi: 10.3934/dcds.2016.36.601 
[14] 
Zhengchao Ji. Cylindrical estimates for mean curvature flow in hyperbolic spaces. Communications on Pure and Applied Analysis, 2021, 20 (3) : 11991211. doi: 10.3934/cpaa.2021016 
[15] 
Šárka Nečasová. Stokes and Oseen flow with Coriolis force in the exterior domain. Discrete and Continuous Dynamical Systems  S, 2008, 1 (2) : 339351. doi: 10.3934/dcdss.2008.1.339 
[16] 
Eunkyoung Ko, Eun Kyoung Lee, R. Shivaji. Multiplicity results for classes of singular problems on an exterior domain. Discrete and Continuous Dynamical Systems, 2013, 33 (11&12) : 51535166. doi: 10.3934/dcds.2013.33.5153 
[17] 
Vladimir Georgiev, Koichi Taniguchi. On fractional Leibniz rule for Dirichlet Laplacian in exterior domain. Discrete and Continuous Dynamical Systems, 2019, 39 (2) : 11011115. doi: 10.3934/dcds.2019046 
[18] 
Xinchi Huang, Masahiro Yamamoto. Carleman estimates for a magnetohydrodynamics system and application to inverse source problems. Mathematical Control and Related Fields, 2022 doi: 10.3934/mcrf.2022005 
[19] 
Oleg Yu. Imanuvilov, Masahiro Yamamoto. Calderón problem for Maxwell's equations in cylindrical domain. Inverse Problems and Imaging, 2014, 8 (4) : 11171137. doi: 10.3934/ipi.2014.8.1117 
[20] 
Gabrielle Nornberg, Delia Schiera, Boyan Sirakov. A priori estimates and multiplicity for systems of elliptic PDE with natural gradient growth. Discrete and Continuous Dynamical Systems, 2020, 40 (6) : 38573881. doi: 10.3934/dcds.2020128 
2020 Impact Factor: 1.916
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