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Displaying similar documents to “Uniqueness and existence of solution in the BVt(Q) space to a doubly nonlinear parabolic problem.”

Supersolutions and stabilization of the solutions of the equation∂u/∂t - div(|∇p| ∇u) = h(x,u), Part II.

Abderrahmane El Hachimi, François De Thélin (1991)

Publicacions Matemàtiques

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In this paper we consider a nonlinear parabolic equation of the following type: (P)      ∂u/∂t - div(|∇p|p-2 ∇u) = h(x,u) with Dirichlet boundary conditions and initial data in the case when 1 < p < 2. We construct supersolutions of (P), and by use of them, we prove that for tn → +∞, the solution of (P) converges to some solution of the elliptic equation associated with...

Non-negative solutions of generalized porous medium equations.

Bjorn E. J. Dahlberg, Carlos E. Kenig (1986)

Revista Matemática Iberoamericana

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The purpose of this paper is to study nonnegative solutions u of the nonlinear evolution equations ∂u/∂t = Δφ(u),  x ∈ Rn, 0 < t < T ≤ +∞  (1.1) Here the nonlinearity φ is assumed to be continuous, increasing with φ(0) = 0. This equation arises in various physical problems, and specializing φ leads to models for nonlinear filtrations, or for the gas flow in a porous medium. For a recent survey in these...

Parabolic equations involving 0 and 1 order terms with L data.

Thierry Goudon, Mazen Saad (2001)

Revista Matemática Iberoamericana

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This paper is devoted to general parabolic equations involving 0 and 1 order terms, in linear and nonlinear expressions, while the data only belong to L. Existence and entropic-uniqueness of solutions are proved.

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...