Evolution of compressible and incompressible fluids separated by a closed interface

DOI10.4171/IFB/21zbMath0971.35057OpenAlexW2158384345WikidataQ114392199 ScholiaQ114392199MaRDI QIDQ1584702

Irina V. Denisova

Publication date: 17 January 2001

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/ifb/21

zbMATH Keywords

incompressible fluidsurface tensionviscous fluidsmall viscositycompressible fluiditerationsSchauder estimatesfree boundary value problemlocal in time unique solvabilitySobolev-Slobodeskij functional spaces

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (8)

Local solvability of free boundary problem for viscous compressible and incompressible fluids in the spaces \({W}_p^{2+l,1+l/2} (Q_T)\), \(p > 2\) ⋮ Global solvability of the Navier-Stokes equations with a free surface in the maximal \(L_{p}-L_{q}\) regularity class ⋮ On the \(\mathcal{R}\)-boundedness for the two phase problem: compressible-incompressible model problem ⋮ $L_2$-theory for two viscous fluids of different types: Compressible and incompressible ⋮ 𝐿_{𝑝}-estimates of solution of the free boundary problem for viscous compressible and incompressible fluids in the linear approximation ⋮ On the model problem arising in the study of motion of viscous compressible and incompressible fluids with a free interface ⋮ 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

This page was built for publication: Evolution of compressible and incompressible fluids separated by a closed interface