Lagrangian Methods for a General Inhomogeneous Incompressible Navier--Stokes--Korteweg System with Variable Capillarity and Viscosity Coefficients

DOI10.1137/16M1101532zbMath1434.35044arXiv1611.00989MaRDI QIDQ5361160

Cosmin Burtea, Frédéric Charve

Publication date: 27 September 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00989

zbMATH Keywords

Besov spacesflowcapillarityincompressible inhomogeneous viscous fluidsLagrangian variables and change of variables

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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A blow-up criterion for the density-dependent Navier-Stokes-Korteweg equations in dimension two

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