Localized Non-diffusive Asymptotic Patterns for Nonlinear Parabolic Equations with Gradient Absorption
نویسندگان
چکیده
منابع مشابه
Localized non-diffusive asymptotic patterns for nonlinear parabolic equations with gradient absorption
We study the large-time behaviour of the solutions u of the evolution equation involving nonlinear diffusion and gradient absorption ∂tu−∆pu+ |∇u| q = 0. We consider the problem posed for x ∈ R and t > 0 with non-negative and compactly supported initial data. We take the exponent p > 2 which corresponds to slow p-Laplacian diffusion, and the exponent q in the superlinear range 1 < q < p − 1. In...
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ژورنال
عنوان ژورنال: Journal of Dynamics and Differential Equations
سال: 2007
ISSN: 1040-7294,1572-9222
DOI: 10.1007/s10884-007-9093-y