Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (2): 245-255.

• Articles • Previous Articles     Next Articles

ASYMPTOTIC BEHAVIOR TOWARD THE RAREFACTION WAVE FOR SOLUTIONS OF RATE-TYPE VISCOELASTIC SYSTEM WITH BOUNDARY EFFECT

 HE Cheng, LI Hai-Liang   

  1. Institute of Mathematics, Academia Sinica, Beijing 100080, China
  • Online:2000-04-18 Published:2000-04-18

Abstract:

The initial boundary value problems for the system of rate-type viscoelasticity
is considered in the present paper.It is shown that if the initial data are a small perturbation
of a forward smooth rarefaction wave, then there is a global solutions to the system, which
tends to the rarefaction wave time-asymptotically

Key words: Initial boundary value problems, relaxation, global existence,asymptotic behavior

CLC Number: 

  • 35L45
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