Unique solvability for the density-dependent incompressible Navier-Stokes-Korteweg system

DOI10.1016/j.jmaa.2017.05.074zbMath1373.35257OpenAlexW2621616613MaRDI QIDQ2013101

Teng Wang

Publication date: 3 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.05.074

zbMATH Keywords

vacuumstrong solutionsdensity-dependentincompressibleNavier-Stokes-Korteweg system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Strong solutions to PDEs (35D35)

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Rayleigh-Taylor instability for viscous incompressible capillary fluids ⋮ A blow-up criterion for the strong solutions to the nonhomogeneous Navier-Stokes-Korteweg equations in dimension three. ⋮ Local existence and uniqueness of strong solutions to the density-dependent incompressible Navier-Stokes-Korteweg system ⋮ On the dynamic Rayleigh-Taylor instability in the Euler-Korteweg model ⋮ Stabilizing Effect of Capillarity in the Rayleigh–Taylor Problem to the Viscous Incompressible Capillary Fluids ⋮ On Rayleigh-Taylor instability in Navier-Stokes-Korteweg equations ⋮ Effect of temperature upon double diffusive instability in Navier-Stokes-Voigt models with Kazhikhov-Smagulov and Korteweg terms ⋮ A blow-up criterion for the density-dependent Navier-Stokes-Korteweg equations in dimension two

Cites Work

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