On global existence and blowup of solutions of stochastic Keller-Segel type equation

DOI10.1007/s00030-021-00735-2zbMath1479.35146arXiv2107.12419OpenAlexW3216186502MaRDI QIDQ2059029

Oleksandr Misiats, Oleksandr Stanzhytskyi, Ihsan Topaloglu

Publication date: 13 December 2021

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.12419

zbMATH Keywords

stochastic partial differential equationelliptic-parabolic systemlocal and global solutionsKeller-Segel equation

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for second-order parabolic equations (35K15) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (3)

Global martingale weak solutions for the three-dimensional stochastic chemotaxis-Navier-Stokes system with Lévy processes ⋮ Blow-up for a stochastic model of chemotaxis driven by conservative noise on \(\mathbb{R}^2\) ⋮ Global solutions of aggregation equations and other flows with random diffusion

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