Acta mathematica scientia,Series B ›› 1988, Vol. 8 ›› Issue (2): 185-198.

• Articles • Previous Articles     Next Articles

THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF INITIAL VALUE PROBLEM TO SYSTEM OF GAS DYNAMICS WITH VISCOSITY

Lu Yunguang1, Xie Guiliang2   

  1. 1. Inst. of Math. Sci.. Academia Sinica, Wuhan, China;
    2. Central China Normal University, Wuhan, China
  • Received:1986-12-22 Online:1988-06-25 Published:1988-06-25

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Abstract: This paper considers the system
vt-vx=εvrx ui+p(v)x=εuxx,x∈R,t>0 (A)
where
p(v)=av-r,a>0,r>1
with
(v(x,0),u(x,0))=(v0(x),u0(x)),x∈R (B).

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