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

Autor:	Oleksandr Stanzhytskyi, Oleksandr Misiats, Ihsan Topaloglu
Rok vydání:	2021
Předmět:	Work (thermodynamics) Applied Mathematics Weak solution Noise (electronics) Strong solutions Type equation Mathematics - Analysis of PDEs Random noise FOS: Mathematics Applied mathematics Finite time Divergence (statistics) Analysis Mathematics Analysis of PDEs (math.AP)
DOI:	10.48550/arxiv.2107.12419
Popis:	In this paper we consider a stochastic Keller-Segel type equation, perturbed with random noise. We establish that for special types of random pertubations (i.e. in a divergence form), the equation has a global weak solution for small initial data. Furthermore, if the noise is not in a divergence form, we show that the solution has a finite time blowup (with nonzero probability) for any nonzero initial data. The results on the continuous dependence of solutions on the small random perturbations, alongside with the existence of local strong solutions, are also derived in this work. Comment: This version will appear in Nonlinear Differential Equations and Applications (NoDEA)
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::540cc49bd622c18bd1d5e5bc0884bec5 Zobrazit plný text záznamu