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Applicable Analysis
An International Journal
Volume 75, 2000 - Issue 1-2
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Original Articles

Optimal temporal decay estimates for the solution to the multidimensional generalized BBM-Burgers Equations with Dissipative Term

Huijiang Zhao Young Scientist Laboratory of Mathematical Physics, Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, P.O.Box 71010, Wuhan, P.R, 430071, China
Pages 85-105 | Published online: 25 Nov 2010
 
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Abstract

This paper considers the optimal temporal decay estimates on the solutions to the following multidimensional generalized BBM-Burgers equations with dissipative term

with initial data
Here u(t,x)=(u1(t,x),…,un(t,x))T is the unknown vector-valued function f(u)=(fji(u),…,fjn(u))T(j=1,2,…,N)are arbitrary n X 1 smooth vector-valued flux functions defined in Bt(ū) a closed ball of radius l centered at some fixed point ū∈n and l is any fixed positive constant.

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