On nonexistence of similarity solutions
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Publication:1120732
DOI10.1016/0022-247X(88)90364-2zbMath0673.35045OpenAlexW1978391055MaRDI QIDQ1120732
Lambertus A. Peletier, William C. Troy
Publication date: 1988
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(88)90364-2
nonexistencenonnegative solutionradially symmetric solutionssimilarity solutionsinitial valuesemilinear
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Related Items (3)
Behavior of solutions of a nonlinear ordinary differential equation ⋮ Analysis of fluid flow and heat transfer over an unsteady stretching surface ⋮ Fast rate of formation of dead-core for the heat equation with strong absorption and applications to fast blow-up
Cites Work
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- Single point blow-up for a semilinear initial value problem
- Extinction properties of semilinear heat equations with strong absorption
- Concavity of solutions of nonlinear ordinary differential equations
- Stability of the separable solution for fast diffusion
- Asymptotically self‐similar blow‐up of semilinear heat equations
- Nonexistence for the Kassoy Problem
- Propagation of thermal waves in an inhomogeneous medium
- A Mathematical Analysis of Blowup for Thermal Reactions—the Spatially Nonhomogeneous Case
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