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Global solutions of 2D isentropic compressible Navier-Stokes equations with one slow variable.
- Source :
-
Journal of Differential Equations . Dec2023, Vol. 376, p406-468. 63p. - Publication Year :
- 2023
-
Abstract
- Motivated by [2,3] , we prove the global existence of solutions to the two-dimensional isentropic compressible Navier-Stokes equations with smooth initial data which are slowly varying in one direction and with initial density being away from vacuum. In particular, we present examples of initial data which generate unique global smooth solutions to 2 D compressible Navier-Stokes equations with constant viscosity and with initial data which are neither small perturbation of some constant equilibrium state nor of small energy. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NAVIER-Stokes equations
*STATISTICAL smoothing
*VISCOSITY
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 376
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 173097638
- Full Text :
- https://doi.org/10.1016/j.jde.2023.08.041