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Global solutions to the 3D compressible Navier–Stokes equations with a class of special initial data.
- Source :
-
Journal of Mathematical Physics . Feb2023, Vol. 64 Issue 2, p1-16. 16p. - Publication Year :
- 2023
-
Abstract
- In this paper, we consider the Cauchy problem of tri-dimensional compressible Navier–Stokes equations and construct global smooth solutions by choosing a class of new special initial velocity and density whose B ̇ 2 , ∞ − s -norm can be arbitrarily large and improve the previous result in Li et al. [J. Math. Fluid Mech. 24, 22 (2022)]. Our main idea is splitting the linearized equations from the compressible Navier–Stokes equations and exploring the damping effect of the linearized system. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CAUCHY problem
*NAVIER-Stokes equations
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 64
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 162170712
- Full Text :
- https://doi.org/10.1063/5.0086787