Finite-time blow-up for solutions to a degenerate drift-diffusion equation for a fast-diffusion case

DOI10.1088/1361-6544/ab0069zbMath1411.35153OpenAlexW2944013758WikidataQ127941431 ScholiaQ127941431MaRDI QIDQ5742473

Takayoshi Ogawa, Masaki Kurokiba

Publication date: 14 May 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ab0069

zbMATH Keywords

existence of weak solutionfree energyfinite-time blow-upShannon's inequalityvirial lawdegenerate drift-diffusion system

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Quasilinear parabolic equations (35K59)

Related Items (2)

Shannon's inequality for the Rényi entropy and an application to the uncertainty principle ⋮ Asymptotic behavior of a solution to the drift-diffusion equation for a fast-diffusion case

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