On a class of similarity solutions of the porous media equation

From MaRDI portal
Publication:1237891

DOI10.1016/0022-247X(76)90166-9zbMath0356.35049MaRDI QIDQ1237891

Brian H. Gilding, Lambertus A. Peletier

Publication date: 1976

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)




Related Items

Evolution of interfaces and explicit asymptotics at infinity for the fast diffusion equation with absorptionOn a self-similar solution for the decay of turbulent burstsCOMPLETE BLOW-UP AND THERMAL AVALANCHE FOR HEAT EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONSLocalization and blow up of thermal waves in nonlinear heat conduction with peakingDiffusivity determination in nonlinear diffusionUnnamed ItemCritical parameter equations for degenerate parabolic equations coupled via nonlinear boundary fluxSome properties of the Yamabe soliton and the related nonlinear elliptic equationThe first boundary value problem for \(-u=\lambda u\) pEstimate of the rate of stabilization of the solution of the first initial-boundary problem for the equation of a porous medium in an unbounded regionSelf-similar solutions for a class of non-divergence form equationsA nonlinear diffusion equation with reaction localized in the half-lineOn critical Fujita exponents for heat equations with nonlinear flux conditions on the boundaryAronson-Bénilan type estimate and the optimal Hölder continuity of weak solutions for the 1-D degenerate Keller-Segel systemsUnnamed ItemDensity Fluctuations in Stochastic Kinematic FlowsOn a class of similarity solutions of the porous media equation. IIINonlinear Einstein paradigm of Brownian motion and localization property of solutionsOn critical Fujita exponents for the porous medium equation with a nonlinear boundary conditionThe blow-up profile for a fast diffusion equation with a nonlinear boundary conditionSimilarity solutions for nonlinear diffusion - A new integration procedureLarge time behaviour of solutions of the porous medium equation in bounded domainsBounded speed of propagation for solutions to radiative transfer equationsBlow up profiles for a quasilinear reaction-diffusion equation with weighted reactionShrinking self-similar solutions of a nonlinear diffusion equation with nondivergence form.Finite element approximation for degenerate parabolic equations. an application of nonlinear semigroup theoryAnisotropic mesh adaptation for finite element solution of anisotropic porous medium equationPropagation profile of support for evolution \(p\)-Laplacian with convection in half spaceRadial equivalence for the two basic nonlinear degenerate diffusion equationsExistence and uniqueness results for a time-fractional nonlinear diffusion equationSimilarity solutions of the porous medium equation with sign changesNear field asymptotic behavior for the porous medium equation on the half-lineSimilarity solutions of the porous medium equation with sign changesA generalization of P. Ya. Polubarinova-Kochina's problem on basin drainThe balance between nonlinear inwards and outwards boundary flux for a nonlinear heat equationThe role of nonlinear diffusion in non-simultaneous blow-upThe Riemann problem for a forward-backward parabolic equationUnnamed ItemA numerical method for solving the problem $u_t - \Delta f (u) = 0$On a class of similarity solutions of the porous media equation. IINew selfsimilar solutions of the porous medium equation and the theory of solutions of changing signBlow up profiles for a reaction-diffusion equation with critical weighted reactionAnalytical studies of a time-fractional porous medium equation. Derivation, approximation and applicationsGrow-up for a quasilinear heat equation with a localized reactionSelf-similar finite-time singularity formation in degenerate parabolic equations arising in thin-film flowsSingular limit and exact decay rate of a nonlinear elliptic equationAn oscillating solution for the porous medium equationBlow up profiles for a quasilinear reaction-diffusion equation with weighted reaction with linear growthOn the uniformization of the solutions of the porous medium equation in \(R^ N\)Self-similar solutions satisfying or not the equation of the interface.Porous medium equation with absorption and a nonlinear boundary condition



Cites Work