Acta mathematica scientia,Series B ›› 1992, Vol. 12 ›› Issue (1): 51-61.

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EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTION TO INHOMOGENEOUS SYSTEMS OF GAS DYNAMICS WITH VISCOSITY

Lu Yunguang   

  1. Inst, of Math, Sci., Academia Sinica, Wuhan 430071, China
  • Received:1989-10-10 Revised:1990-05-25 Online:1992-03-25 Published:1992-03-25

Abstract: This paper considers the existence and asymptotic behaviors of the solutions to the inhomogeneous systems of gas dynamics with viscosity:
ut+px(v)=εuxx+F(u,v) vt-ux=εvxx+G(u,v) with initial value
(u,v)(x,0)=(u0(x),v0(x)).

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