NONLINEAR DIFFUSIVE PHENOMENA OF NONLINEAR HYPERBOLIC SYSTEMS
Citation:
Hsiao Ling,Liu Taiping.NONLINEAR DIFFUSIVE PHENOMENA OF NONLINEAR HYPERBOLIC SYSTEMS[J].Chinese Annals of Mathematics B,1993,14(4):465~480
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Authors:
Hsiao Ling; Liu Taiping
Abstract:
The authors study the nonlinear hyperbolic system which describes the motion of isentropic gas flow with external friction acting on it, such as a flow through porous media, and show the nonlinear diffusive phenomena for the large time behavior of solutions for this system by proving that the solutions tend to those of a nonlinear diffusion equation time-asymptotically.