Abstract
We examine the Cauchy problem for a nonlinear dissipative evolution system with conservation form with initial condition where α, β, σ and ν are positive constants such that α < σ and β < 1. We establish the global existence and decay rate of the solution subject to the parameter restriction . The optimal decay rate is obtained if (ψ0, θ0) ∈ L1(R, R2) furthermore. The global existence of the solution to the same problem has been studied in Jian and Chen (1998 Acta Math. Sin. 14 17-34) without giving the decay rate and optimal decay order of the solution, in which (ψ0, θ0) ∈ H1(R, R2)∩L 1(R, R2).
Original language | English |
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Pages (from-to) | 10955-10969 |
Number of pages | 15 |
Journal | Journal of Physics A: Mathematical and General |
Volume | 38 |
Issue number | 50 |
DOIs | |
Publication status | Published - 16 Dec 2005 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy