Singular solutions for a convection diffusion equation with absorption
نویسندگان
چکیده
منابع مشابه
Asymptotic behavior for a singular diffusion equation with gradient absorption
We study the large time behavior of non-negative solutions to the singular diffusion equation with gradient absorption ∂ t u − ∆ p u + |∇u| q = 0 in (0, ∞) × R N , for p c := 2N/(N + 1) < p < 2 and p/2 < q < q * := p − N/(N + 1). We prove that there exists a unique very singular solution of the equation, which has self-similar form and we show the convergence of general solutions with suitable ...
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Existence and uniqueness of radially symmetric self-similar very singular solutions are proved for the singular diffusion equation with gradient absorption ∂tu−∆pu+ |∇u| q = 0, in (0,∞)× R , where 2N/(N +1) < p < 2 and p/2 < q < p−N/(N +1), thereby extending previous results restricted to q > 1. AMS Subject Classification: 35K67, 35K92, 34B40, 34C11, 35B33.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1992
ISSN: 0022-247X
DOI: 10.1016/0022-247x(92)90288-o