Geodesic
The Rothe method and time periodic solutions to the Navier-Stokes equations and equations of magnetohydrodynamics
Applications of Mathematics, Tome 35 (1990) no. 2, pp. 89-98

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

The existence of a periodic solution of a nonlinear equation $z' + A_0z + B_0z=F$ is proved. The theory developed may be used to prove the existence of a periodic solution of the variational formulation of the Navier-Stokes equations or the equations of magnetohydrodynamics. The proof of the main existence theorem is based on Rothe method in combination with the Galerkin method, using the Brouwer fixed point theorem.
DOI : 10.21136/AM.1990.104392
Classification : 35A15, 35Q10, 35Q30, 65J15, 65M20, 65N40, 76D05, 76M10
Keywords: Navier-Stokes equations; periodic solutions; existence of generalized solutions; nonlinear operator equation; variational formulation; equations of magnetohydrodynamics; Galerkin method; Brouwer fixed point theorem 
@article{10_21136_AM_1990_104392,
     author = {Lauerov\'a, Dana},
     title = {The {Rothe} method and time periodic solutions to the {Navier-Stokes} equations and equations of magnetohydrodynamics},
     journal = {Applications of Mathematics},
     pages = {89--98},
     publisher = {mathdoc},
     volume = {35},
     number = {2},
     year = {1990},
     doi = {10.21136/AM.1990.104392},
     mrnumber = {1042846},
     zbl = {0703.76021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1990.104392/}
}
TY  - JOUR
AU  - Lauerová, Dana
TI  - The Rothe method and time periodic solutions to the Navier-Stokes equations and equations of magnetohydrodynamics
JO  - Applications of Mathematics
PY  - 1990
SP  - 89
EP  - 98
VL  - 35
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1990.104392/
DO  - 10.21136/AM.1990.104392
LA  - en
ID  - 10_21136_AM_1990_104392
ER  - 
%0 Journal Article
%A Lauerová, Dana
%T The Rothe method and time periodic solutions to the Navier-Stokes equations and equations of magnetohydrodynamics
%J Applications of Mathematics
%D 1990
%P 89-98
%V 35
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1990.104392/
%R 10.21136/AM.1990.104392
%G en
%F 10_21136_AM_1990_104392
Lauerová, Dana. The Rothe method and time periodic solutions to the Navier-Stokes equations and equations of magnetohydrodynamics. Applications of Mathematics, Tome 35 (1990) no. 2, pp. 89-98. doi: 10.21136/AM.1990.104392

Cité par Sources :