Geodesic
Global strong solutions of a 2-D new magnetohydrodynamic system
Applications of Mathematics, Tome 65 (2020) no. 1, pp. 105-120

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR
The main objective of this paper is to study the global strong solution of the parabolic-hyperbolic incompressible magnetohydrodynamic model in the two dimensional space. Based on Agmon, Douglis, and Nirenberg's estimates for the stationary Stokes equation and Solonnikov's theorem on $L^p$-$L^q$-estimates for the evolution Stokes equation, it is shown that this coupled magnetohydrodynamic equations possesses a global strong solution. In addition, the uniqueness of the global strong solution is obtained.
The main objective of this paper is to study the global strong solution of the parabolic-hyperbolic incompressible magnetohydrodynamic model in the two dimensional space. Based on Agmon, Douglis, and Nirenberg's estimates for the stationary Stokes equation and Solonnikov's theorem on $L^p$-$L^q$-estimates for the evolution Stokes equation, it is shown that this coupled magnetohydrodynamic equations possesses a global strong solution. In addition, the uniqueness of the global strong solution is obtained.
DOI : 10.21136/AM.2020.0208-19
Classification : 35B65, 35D35, 35Q35, 35Q61, 76W05
Keywords: global strong solution; magnetohydrodynamics; Stokes equation; $L^p$-$L^q$-estimates 
Liu, Ruikuan; Yang, Jiayan. Global strong solutions of a 2-D new magnetohydrodynamic system. Applications of Mathematics, Tome 65 (2020) no. 1, pp. 105-120. doi: 10.21136/AM.2020.0208-19
@article{10_21136_AM_2020_0208_19,
     author = {Liu, Ruikuan and Yang, Jiayan},
     title = {Global strong solutions of a {2-D} new magnetohydrodynamic system},
     journal = {Applications of Mathematics},
     pages = {105--120},
     year = {2020},
     volume = {65},
     number = {1},
     doi = {10.21136/AM.2020.0208-19},
     mrnumber = {4064592},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2020.0208-19/}
}
TY  - JOUR
AU  - Liu, Ruikuan
AU  - Yang, Jiayan
TI  - Global strong solutions of a 2-D new magnetohydrodynamic system
JO  - Applications of Mathematics
PY  - 2020
SP  - 105
EP  - 120
VL  - 65
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.2020.0208-19/
DO  - 10.21136/AM.2020.0208-19
LA  - en
ID  - 10_21136_AM_2020_0208_19
ER  - 
%0 Journal Article
%A Liu, Ruikuan
%A Yang, Jiayan
%T Global strong solutions of a 2-D new magnetohydrodynamic system
%J Applications of Mathematics
%D 2020
%P 105-120
%V 65
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.2020.0208-19/
%R 10.21136/AM.2020.0208-19
%G en
%F 10_21136_AM_2020_0208_19

Cité par Sources :