Highly unstable solutions to completely nonlinear diffusion problems
DOI10.1016/0362-546X(83)90085-8zbMath0516.35042OpenAlexW2038345573MaRDI QIDQ3663725
Publication date: 1983
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(83)90085-8
instabilitynonexistencenonlinear wave equationnonlinear diffusion equationWeiss-Kirchhoff transformation
Initial-boundary value problems for second-order hyperbolic equations (35L20) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-existence, instability, and growth theorems for solutions of a class of abstract nonlinear equations with applications to nonlinear elasto- dynamics
- Saddle points and instability of nonlinear hyperbolic equations
- Nonexistence of global weak solutions for classes of nonlinear wave and parabolic equations
- Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
- Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: The method of unbounded Fourier coefficients
- Blow-up theorems for nonlinear wave equations
- A stability theorem for diffusion problems with sharply changing temperature-dependent coefficients
- On thermal instability in rigid heat conductors with nonlinear heat generation
This page was built for publication: Highly unstable solutions to completely nonlinear diffusion problems
