On the \(\mathcal{R}\)-boundedness for the two phase problem: compressible-incompressible model problem

DOI10.1186/s13661-014-0141-3zbMath1304.35556OpenAlexW2169063890WikidataQ59394258 ScholiaQ59394258MaRDI QIDQ481544

Yoshihiro Shibata, Kohei Soga, Takayuki Kubo

Publication date: 12 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-014-0141-3

zbMATH Keywords

Stokes equations\(\mathcal{R}\)-boundednesscompressible-incompressible two phase problemgeneralized resolvent problemmodel problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Laplace transform (44A10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Liquid-gas two-phase flows, bubbly flows (76T10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (8)

On the Solvability of Free Boundary Problem for Viscous Compressible Fluids in an Infinite Time Interval ⋮ Maximal regularity for compressible two-fluid system ⋮ $L_2$-theory for two viscous fluids of different types: Compressible and incompressible ⋮ Compressible-incompressible two-phase flows with phase transition: model problem ⋮ The Work of Yoshihiro Shibata ⋮ 𝐿_{𝑝}-estimates of solution of the free boundary problem for viscous compressible and incompressible fluids in the linear approximation ⋮ On energy inequality for the problem on the evolution of two fluids of different types without surface tension ⋮ On some two phase problem for compressible and compressible viscous fluid flow separated by sharp interface

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