Exact solutions of diffusion-convection equations
نویسندگان
چکیده
منابع مشابه
Exact Solutions of Diffusion–Convection Equations
where f = f(x), g = g(x), h = h(x), A = A(u) and B = B(u) are arbitrary smooth functions of their variables, f(x)g(x)A(u) 6=0. Our aim is not to give a physical interpretation of the solution of diffusion equations (that is too huge and cannot be reached in the scope of a short paper), but to list the already known exact solutions of equations from the class under consideration. However, in som...
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K e y w o r d s D i f f u s i o n c o n v e c t i o n equations, L °° bounds of weak solutions. 1. I N T R O D U C T I O N In this note, we consider weak solutions to diffusion-convection equations with less regular convective field and boundary data. The general form of the problem under consideration is -~u(t,x)O _ t~Au(t,x) + d i v (b(x)u(t ,x)) = f ( t , x ,u ( t , x ) ) , in (0, T) x ~t (1...
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where λ and m are arbitrary constants and C(U) is an arbitrary smooth function, has been done. The symmetries obtained for constructing exact solutions of the relevant equations have been successfully applied. In the particular case, new exact solutions of nonlinear reactiondiffusion-convection (RDC) equations arising in applications have been found. The most general RDC equation with power fun...
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ژورنال
عنوان ژورنال: Dynamics of Partial Differential Equations
سال: 2008
ISSN: 1548-159X,2163-7873
DOI: 10.4310/dpde.2008.v5.n2.a3