【摘 要】
：
In this paper we explore the classical solutions to conservation law with degenerate diffusion term (ut-△xu =divf(u), x ∈ Ω (C) Rn, t > 0, with x =(x1,x)
【机 构】
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Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240
【出 处】
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2011年度长江三角洲偏微分方程学术研讨会暨长江三角洲偏微分方程博士生论坛
论文部分内容阅读
In this paper we explore the classical solutions to conservation law with degenerate diffusion term (ut-△xu =divf(u), x ∈ Ω (C) Rn, t > 0, with x =(x1,x)).We establish the global existence and exponential decay estimates to the solutions of initial boundary value problem in domain Ω R ×∏ni=2(0 , Li); Meanwhile, to clarify the viscous effect of the degenerate diffusion term, we also investigate the classical solutions to the Cauchy problem of the modified equation ut-△xu =(1-x(D)) divf(u), x ∈ Rn, t > 0,with x(D) a Fourier multiplier operator, we use frequency decomposition method to establish the global existence and the polynomial decay estimates.
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