an:03864835
Zbl 0543.76099
Matsumura, Akitaka; Nishida, Takaaki
Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
EN
Commun. Math. Phys. 89, 445-464 (1983).
00148484
1983
j
76N10
viscous and heat-conductive; initial boundary value; half space; exterior domain of any bounded region; global solution in time; exist uniquely; approach the stationary state
Summary: The equations of motion of compressible viscous and heat-conductive fluids are investigated for initial boundary value problems on the half space and on the exterior domain of any bounded region. The global solution in time is proved to exist uniquely and approach the stationary state as \(t\to \infty\), provided the prescribed initial data and the external force are sufficiently small.