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Displaying similar documents to “A notion of renormahzed solution of the study of a general conservation law.”

Dirichlet problem for a nonlinear conservation law.

Guy Vallet (2000)

Revista Matemática Complutense

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In this paper we propose the study of a first-order non-linear hyperbolic equation in a bounded domain. We give a result of existence and uniqueness of the entropic measure-valued solution and of the entropic weak solution; for some general assumptions on the data.

Existence and uniqueness of solutions for a degenerate quasilinear parabolic problem.

Maurizio Badii (1994)

Publicacions Matemàtiques

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We consider the following quasilinear parabolic equation of degenerate type with convection term u = φ (u) + b(u) in (-L,0) x (0,T). We solve the associate initial-boundary data problem, with nonlinear flux conditions. This problem describes the evaporation of an incompressible fluid from a homogeneous porous media. The nonlinear condition in x = 0 means that the flow of fluid leaving the porous media depends on variable meteorological conditions and in a nonlinear manner on u. In x...