Well-posedness of a model of nonhomogeneous compressible–incompressible fluids

DOI10.1142/S0219891617500163zbMath1377.35217arXiv1606.02099OpenAlexW2412971675WikidataQ57776822 ScholiaQ57776822MaRDI QIDQ4588799

Roberto Natalini, Roberta Bianchini

Publication date: 2 November 2017

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.02099

zbMATH Keywords

variable densitymultiphase modeldivergence-freemixture theoryfluid dynamics modelincompressible pressurecompressible pressure

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Related Items (2)

Uniform Asymptotic and Convergence Estimates for the Jin--Xin Model Under the Diffusion Scaling ⋮ The paradifferential approach to the local well-posedness of some problems in mixture theory in two space dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Compressible fluid flow and systems of conservation laws in several space variables
• On Darcy's law for growing porous media
• Global existence and asymptotic stability of smooth solutions to a fluid dynamics model of biofilms in one space dimension
• Para-differential calculus and applications to the Cauchy problem for nonlinear systems
• Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy
• On the well-posedness of the incompressible density-dependent Euler equations in the \(L^p\) framework
• The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit
• Incompressible porous media models by use of the theory of mixtures
• Partial differential equations. 1: Basic theory
• A fluid dynamics model of the growth of phototrophic biofilms
• Vorticity and Incompressible Flow
• Fourier Analysis and Nonlinear Partial Differential Equations
• About the motion of nonhomogeneous ideal incompressible fluids
• Existence of cω solution of the euler equation for non-homogeneous fluids
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids

This page was built for publication: Well-posedness of a model of nonhomogeneous compressible–incompressible fluids