Self-similar solutions for a convection-diffusion equation with absorption in \({\mathbb{R}{}}^ N\)

DOI10.1007/BF02777815zbMath0755.35050OpenAlexW2048864656MaRDI QIDQ1180401

Enrique Zuazua, Miguel Escobedo

Publication date: 27 June 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02777815

zbMATH Keywords

implicit function theoremfixed point methodexistence of a positive and smooth solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60)

Related Items

On the existence and uniqueness of solutions to a singular nonlinear boundary value problem arising in isothermal autocatalytic chemical kinetics, A structure preserving scheme for the Kolmogorov-Fokker-Planck equation, Self-similar solutions of a generalized Burgers equation with nonlinear damping., Existence and multiplicity of self-similar solutions for heat equations with nonlinear boundary conditions

Cites Work

• Large time behaviour of solutions of the porous media equation with absorption
• Nonlinear parabolic equations involving measures as initial conditions
• Large time behavior of the solutions of a semilinear parabolic equation in \(\mathbb R^ n\)
• Source-type solutions of degenerate diffusion equations with absorption
• Remarks on the large time behaviour of a nonlinear diffusion equation
• A priori estimates and existence of positive solutions of semilinear elliptic equations
• Self-Similar Solutions of a Convection Diffusion Equation And Related Semilinear Elliptic Problems
• Generalized Burgers equations and Euler–Painlevé transcendents. I
• Variational problems related to self-similar solutions of the heat equation
• On a class of superlinear elliptic problems
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