an:00458895
Zbl 0781.76072
Lions, Pierre-Louis
Compactness of solutions of compressible isentropic Navier-Stokes equations
FR
C. R. Acad. Sci., Paris, S??r. I 317, No. 1, 115-120 (1993).
00015424
1993
j
76N10 35Q30
sequence of solutions; existence of global solutions; acoustic phenomena; propagation of oscillations
Summary: We present a general result on the compactness of sequence of solutions of compressible, isentropic Navier-Stokes equations. This theorem is the central result allowing to prove the existence of global solutions for these equations. The type of compactness we obtain corresponds to the propagation in time of the \(L^ p\) compactness of the density, a fact which is somehow optimal in view of acoustic phenomena or of the propagation of oscillations for such systems of equations.