Displaying similar documents to “Weak entropic solution to a scalar hyperbolic-parabolic law.”

Uniqueness and existence of solution in the BV(Q) space to a doubly nonlinear parabolic problem.

Jesús Ildefonso Díaz, Juan Francisco Padial (1996)

Publicacions Matemàtiques

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In this paper we present some results on the uniqueness and existence of a class of weak solutions (the so called BV solutions) of the Cauchy-Dirichlet problem associated to the doubly nonlinear diffusion equation b(u)t - div (|∇u - k(b(u))e|p-2 (∇u - k(b(u))e)) + g(x,u) = f(t,x). This problem arises in the study of some turbulent regimes: flows of incompressible turbulent fluids through porous media, gases flowing in pipelines,...