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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