Two-phase Stokes flow by capillarity in full 2D space: an approach via hydrodynamic potentials

DOI10.1017/prm.2020.82OpenAlexW3108514734MaRDI QIDQ3383670

Bogdan-Vasile Matioc, Georg Prokert

Publication date: 16 December 2021

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.14010

zbMATH Keywords

singular integralsStokes problemtwo-phasecontour integral formulation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Moving boundary problems for PDEs (35R37) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Liquid-liquid two component flows (76T06)

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