论文信息 - EXISTENCE THEOREMS FOR THE EQUATIONS OF MOTION OF A COMPRESSIBLE VISCOUS FLUID

EXISTENCE THEOREMS FOR THE EQUATIONS OF MOTION OF A COMPRESSIBLE VISCOUS FLUID

One of the fundamental questions that should be answered concerning any problem of mathematical physics is whether it is well set, that is whether solutions actually exist and whether they are unique. This question is usually answered by existence and uniqueness theorems, which are results of a rigorous mathematical investigation of the prob lem. It is the aim of this paper to present some theorems of this type for the equations of motion of a compressible viscous fluid (Serrin 1959), dp +pV. v=O dt ' dv P-=pf+V·T dt ' T= (-p +;\ V·V )I+2I£D,

V. A. Solonnikov | V. Solonnikov | A. Kazhikhov | A. V. Kazhikhov

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