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The Cauchy Problem for the N-Dimensional Compressible Navier-Stokes Equations without Heat Conductivity.
- Source :
-
SIAM Journal on Mathematical Analysis . 2023, Vol. 55 Issue 2, p1439-1463. 25p. - Publication Year :
- 2023
-
Abstract
- The global existence and convergence rates of solutions to the three-dimensional compressible Navier-Stokes equations without heat conductivity have been obtained since Duan and Ma [Indiana Univ. Math. J., 5 (2008), pp. 2299-2319]. However, as far as we know, how to construct the global small solutions to the compressible Navier-Stokes equations without heat conductivity in R² is still an open problem. In the present paper, we give a positive answer in Rn (n=2,3) with the initial data restricted in the Besov spaces. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361410
- Volume :
- 55
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Mathematical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 164205668
- Full Text :
- https://doi.org/10.1137/22M1504998