Blow-up for quasilinear heat equations described by means of nonlinear Hamilton-Jacobi equations
From MaRDI portal
Publication:1913659
DOI10.1006/jdeq.1996.0059zbMath0884.35014OpenAlexW2012714875MaRDI QIDQ1913659
Victor A. Galaktionov, Juan Luis Vazquez
Publication date: 9 July 1996
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1996.0059
radially symmetric solutionsasymptotic blow-up behaviordynamical systems approachnonlinear Hamilton-Jacobi equation
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Heat equation (35K05)
Related Items (23)
Blow up of positive solutions for a family of nonlinear parabolic equations in general domain in \(\mathbb{R}^N\) ⋮ Necessary and sufficient conditions for complete blow-up and extinction for one-dimensional quasilinear heat equations ⋮ Localization for a porous medium type equation in high dimensions ⋮ Excluding blowup at zero points of the potential by means of Liouville-type theorems ⋮ Conditional Lie Bäcklund symmetries of Hamilton-Jacobi equations ⋮ Construction of a blow-up solution for a perturbed nonlinear heat equation with a gradient and a non-local term ⋮ Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term ⋮ Incomplete blow-up and singular interfaces for quasilinear heat equations ⋮ Blow-up and global solutions for nonlinear reaction-diffusion equations with Neumann boundary conditions ⋮ Global existence and blow-up analysis for a nonlinear diffusion equation with inner absorption and boundary flux ⋮ Long-time behaviour of solutions of a class of nonlinear parabolic equations ⋮ Blowup solutions for a nonlinear heat equation involving a critical power nonlinear gradient term ⋮ Fast rate of formation of dead-core for the heat equation with strong absorption and applications to fast blow-up ⋮ Critical exponents and blow-up rate for a nonlinear diffusion equation with logarithmic boundary flux ⋮ Blow-up with logarithmic nonlinearities ⋮ Global null-controllability and nonnegative-controllability of slightly superlinear heat equations ⋮ Numerical blow-up on whole domain for a quasilinear parabolic equation with nonlinear boundary condition ⋮ Dynamical systems of inequalities and nonlinear parabolic equations ⋮ Single point blow-up and final profile for a perturbed nonlinear heat equation with a gradient and a non-local term ⋮ LYAPUNOV FUNCTIONALS IN SINGULAR LIMITS FOR PERTURBED QUASILINEAR DEGENERATE PARABOLIC EQUATIONS ⋮ Existence and non-existence of global solutions for a heat equation with degenerate coefficients ⋮ Numerical solution of fast diffusion or slow diffusion equations ⋮ Composite structure of global unbounded solutions of nonlinear heat equations with critical Sobolev exponents
This page was built for publication: Blow-up for quasilinear heat equations described by means of nonlinear Hamilton-Jacobi equations
