Quasilinear heat equations with first-order sign-invariants and new explicit solutions
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Publication:4322201
DOI10.1016/0362-546X(94)90208-9zbMath0817.35037OpenAlexW1981004216MaRDI QIDQ4322201
Publication date: 17 July 1995
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(94)90208-9
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Solutions to PDEs in closed form (35C05)
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Cites Work
- A quasilinar heat equation with a source: Peaking, localization, symmetry exact solutions, asymptotics, structures
- Growth estimates in diffusion-reaction problems
- Maximum principles and their applications
- On new exact blow-up solutions for nonlinear heat conduction equations with source and applications
- Symmetry and explicit solutions of partial differential equations
- Mathematical problems from combustion theory
- Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
- Geometrical properties of the solutions of one-dimensional nonlinear parabolic equations
- Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
- Invariant sets of evolution equations
- Lie Group Analysis of Moffatt's Model in Metallurgical Industry
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