tn this paper we consider a 2 x 2 relaxation hyperbolic system of conservation laws with a boundary effect. and we show that the solutions of this initial boundary problem tend to the traveling wave solutions of the corresponding Cauchy problem time-asymptotically, In particular, we give the algebraic and exponential decay rates by using the weighted energy method. The location of a shift. for the traveling wave. to overcome the difficulty in the boundary, plays a key role in this paper. (C) 1999 Academic Press.

Convergence to traveling waves with decay rates for solutions of the initial boundary problem to a relaxation model

RUBINO, BRUNO
1999

Abstract

tn this paper we consider a 2 x 2 relaxation hyperbolic system of conservation laws with a boundary effect. and we show that the solutions of this initial boundary problem tend to the traveling wave solutions of the corresponding Cauchy problem time-asymptotically, In particular, we give the algebraic and exponential decay rates by using the weighted energy method. The location of a shift. for the traveling wave. to overcome the difficulty in the boundary, plays a key role in this paper. (C) 1999 Academic Press.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/8888
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