Displaying similar documents to “Existence and uniqueness of very singular solution of a degenerate parabolic equation with nonlinear convection.”

A Neumann problem for a convection-diffusion equation on the half-line

Piotr Biler, Grzegorz Karch (2000)

Annales Polonici Mathematici

Similarity:

We study solutions to a nonlinear parabolic convection-diffusion equation on the half-line with the Neumann condition at x=0. The analysis is based on the properties of self-similar solutions to that problem.

Determination of a diffusion coefficient in a quasilinear parabolic equation

Fatma Kanca (2017)

Open Mathematics

Similarity:

This paper investigates the inverse problem of finding the time-dependent diffusion coefficient in a quasilinear parabolic equation with the nonlocal boundary and integral overdetermination conditions. Under some natural regularity and consistency conditions on the input data the existence, uniqueness and continuously dependence upon the data of the solution are shown. Finally, some numerical experiments are presented.

A spatially inhomogeneous diffusion problem with strong absorption

Riccardo Ricci, Domingo A. Tarzia (2003)

Bollettino dell'Unione Matematica Italiana

Similarity:

We study the asymptotic behaviour ( t → + ∞ ) of the solutions of a nonlinear diffusion problem with strong absorption. We prove convergence to the stationary solution in the L ∞ by means of an appropriate family of sub and supersolutions. In appendix we prove the well posedness of the problem.