Stability of the Stokes immersed boundary problem with bending and stretching energy

DOI10.1016/j.jfa.2021.109204OpenAlexW3183773298MaRDI QIDQ1982539

Hui Li

Publication date: 14 September 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.12036

zbMATH Keywords

free boundary problemwell-posednessStokes systemelastic membrane

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Nonlinear elasticity (74B20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Fundamental solutions to PDEs (35A08) Stokes and related (Oseen, etc.) flows (76D07) Membranes (74K15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell biology (92C37) Strings (74K05) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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