Back to Search
Start Over
Compressible Euler limit from Boltzmann equation with complete diffusive boundary condition in half-space.
- Source :
- Transactions of the American Mathematical Society; Aug2024, Vol. 377 Issue 8, p5323-5359, 37p
- Publication Year :
- 2024
-
Abstract
- In this paper, we prove the compressible Euler limit from the Boltzmann equation with hard sphere collisional kernel and complete diffusive boundary condition in half-space by employing the Hilbert expansion which includes interior and Knudsen layers. This rigorously justifies the corresponding formal analysis in Sone's book [ Molecular gas dynamics , Birkhäuser Boston, Inc., Boston, MA, 2007] in the context of short time smooth solutions, and also generalizes the classic Caflisch's result [Comm. Pure Appl. Math. 33 (1980), pp. 651–666] to initial-boundary problem case. [ABSTRACT FROM AUTHOR]
- Subjects :
- BOLTZMANN'S equation
GAS dynamics
MOLECULAR dynamics
EULER equations
Subjects
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 377
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 178359026
- Full Text :
- https://doi.org/10.1090/tran/9197