Eventual Self-similarity of Solutions for the Diffusion Equation with Nonlinear Absorption and a Point Source
DOI10.1137/140974997zbMath1320.35133arXiv1406.7213OpenAlexW3101299292MaRDI QIDQ5500579
Cyrill B. Muratov, Peter V. Gordon
Publication date: 7 August 2015
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.7213
morphogen gradientssource-sink modelssuperlinear power-law absorptiontime-independent point sourceultra-singular solutions
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Critical exponents in context of PDEs (35B33) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Self-similar solutions to PDEs (35C06)
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