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- W2011199191 abstract "Abstract In this paper we explore the classical solutions to the conservation law with degenerate diffusion term ( u t − Δ x ′ u = div f ( u ) , x ∈ Ω ⊂ R n , t > 0 , with x = ( x 1 , x ′ ) ). We establish the global existence and exponential decay estimates to the solutions of the initial boundary value problem in domain Ω = R × ∏ i = 2 n ( 0 , L i ) . 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 u t − Δ x ′ u = ( 1 − χ ( D ) ) div f ( u ) , x ∈ R n , t > 0 , with χ ( D ) a Fourier multiplier operator, we use the frequency decomposition method to establish the global existence and the polynomial decay estimates." @default.
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- W2011199191 date "2013-02-01" @default.
- W2011199191 modified "2023-09-30" @default.
- W2011199191 title "Global existence of solutions to the initial-boundary value problem of conservation law with degenerate diffusion term" @default.
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- W2011199191 doi "https://doi.org/10.1016/j.na.2012.09.016" @default.
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