Global-in-time stability of ground states of a pressureless hydrodynamic model of collective behaviour

DOI10.4310/cms.2023.v21.n7.a9zbMath1528.35132arXiv2201.07650OpenAlexW4387447754MaRDI QIDQ6061973

Wojciech S. Ożański, Piotr Bogusław Mucha

Publication date: 30 November 2023

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.07650

zbMATH Keywords

stabilityBesov spacecollective behaviourrepulsive systempressureless hydrodynamic model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

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