On the well-posedness for a multi-dimensional compressible viscous liquid-gas two-phase flow model in critical spaces

DOI10.1007/s00033-015-0529-7zbMath1327.76154OpenAlexW2165027206MaRDI QIDQ894895

Jia Yuan, Fu Yi Xu

Publication date: 24 November 2015

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-015-0529-7

zbMATH Keywords

Besov spaceslocal well-posednesscompressible liquid-gas two-phase flow

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Liquid-gas two-phase flows, bubbly flows (76T10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

Well-posedness in critical spaces for a multi-dimensional compressible viscous liquid-gas two-phase flow model ⋮ Global existence and optimal time decay for the viscous liquid-gas two-phase flow model in the \(L^p\) critical Besov space

Cites Work

• Unnamed Item
• Unnamed Item
• Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities
• A global existence result for the compressible Navier--Stokes equations in the critical \(L ^{p }\) framework
• A blow-up criterion of strong solution to a 3D viscous liquid-gas two-phase flow model with vacuum
• Global existence in critical spaces for compressible Navier-Stokes equations
• Flows of non-Lipschitzian vector fields and Navier-Stokes equations
• On the Navier-Stokes initial value problem. I
• LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES
• Well-Posedness for a Multidimensional Viscous Liquid-Gas Two-Phase Flow Model
• Fourier Analysis and Nonlinear Partial Differential Equations
• Global well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity
• On the Well-Posedness for the Viscous Shallow Water Equations
• Density-dependent incompressible viscous fluids in critical spaces
• Well-Posedness in Critical Spaces for Barotropic Viscous Fluids with Truly Not Constant Density
• Computational Methods for Multiphase Flow

This page was built for publication: On the well-posedness for a multi-dimensional compressible viscous liquid-gas two-phase flow model in critical spaces