The paradifferential approach to the local well-posedness of some problems in mixture theory in two space dimensions

DOI10.1080/03605302.2018.1499775OpenAlexW2900038008WikidataQ128954725 ScholiaQ128954725MaRDI QIDQ4622905

Roberto Natalini, Roberta Bianchini

Publication date: 18 February 2019

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2018.1499775

zbMATH Keywords

paradifferential calculusbiofilmsmultiphase fluidsmixture theoryquasi-linear hyperbolic systemsincompressible pressurecompressible pressurefluid-dynamics model

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX) Quantum theory (81-XX)

Cites Work

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• 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
• On the well-posedness of the incompressible density-dependent Euler equations in the \(L^p\) framework
• Two-phase flow: Models and methods
• Incompressible porous media models by use of the theory of mixtures
• Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids
• The well-posedness of incompressible one-dimensional two-fluid model
• Partial differential equations. 3: Nonlinear equations
• A fluid dynamics model of the growth of phototrophic biofilms
• Vorticity and Incompressible Flow
• About the motion of nonhomogeneous ideal incompressible fluids
• Well-posedness of a model of nonhomogeneous compressible–incompressible fluids
• Well-posedness of incompressible models of two- and three-phase flow
• On two-fluid equations for dispersed incompressible two-phase flow.

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