Finite time blow up for a solution to system of the drift-diffusion equations in higher dimensions
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Publication:329978
DOI10.1007/s00209-016-1654-5zbMath1365.35054OpenAlexW2365075706MaRDI QIDQ329978
Masaki Kurokiba, Takayoshi Ogawa
Publication date: 24 October 2016
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-016-1654-5
Nonlinear parabolic equations (35K55) PDEs in connection with optics and electromagnetic theory (35Q60) Initial value problems for second-order parabolic equations (35K15) Motion of charged particles (78A35)
Related Items (8)
Non-uniform bound and finite time blow up for solutions to a drift–diffusion equation in higher dimensions ⋮ Logarithmic Sobolev and Shannon's inequalities and an application to the uncertainty principle ⋮ Stability and instability of solutions to the drift-diffusion system ⋮ Global existence of solutions to the 4D attraction–repulsion chemotaxis system and applications of Brezis–Merle inequality ⋮ Singular limit problem for the Keller-Segel system and drift-diffusion system in scaling critical spaces ⋮ Maximal regularity and a singular limit problem for the Patlak-Keller-Segel system in the scaling critical space involving \textit{BMO} ⋮ Local well-posedness and finite time blow-up of solutions to an attraction-repulsion chemotaxis system in higher dimensions ⋮ Singular limit problem for the two-dimensional Keller-Segel system in scaling critical space
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