Mathematical topics in compressible flows from single-phase systems to two-phase averaged systems

Cites Work

Existence of weak solutions for compressible Navier-Stokes equations with entropy transport
Weak solutions of a gas-liquid drift-flux model with general slip law for wellbore operations
Two-velocity hydrodynamics in fluid mechanics. II. Existence of global \(\kappa\)-entropy solutions to the compressible Navier-Stokes systems with degenerate viscosities
Global weak solutions to one-dimensional non-conservative viscous compressible two-phase system
Compressible Navier-Stokes equations with a non-monotone pressure law
A multi-fluid compressible system as the limit of weak solutions of the isentropic compressible Navier-Stokes equations
Large time asymptotics for partially dissipative hyperbolic systems
Some diffusive capillary models of Korteweg type
Weak solutions for a bi-fluid model for a mixture of two compressible non interacting fluids
On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models
Ordinary differential equations, transport theory and Sobolev spaces
On the normal form of the symmetric hyperbolic-parabolic systems associated with the conservation laws
The drift-flux asymptotic limit of barotropic two-phase two-pressure models
Global weak solutions to a generic two-fluid model
Two-phase flow: Models and methods
Compact sets in the space \(L^ p(0,T;B)\)
The initial value problem for the equations of motion of viscous and heat-conductive gases
Cauchy problem for the equation of gasdynamics with viscosity
Large amplitude variations for the density of a viscous compressible fluid.
A multiphase Godunov method for compressible multifluid and multiphase flows
Global analysis of the flows of fluids with pressure-dependent viscosities
Quasi-averaging of the system of equations of one-dimensional motion of a viscous heat-conducting gas with rapidly oscillating data
Global existence of weak solutions for compressible Navier-Stokes equations: thermodynamically unstable pressure and anisotropic viscous stress tensor
Global weak solution to the viscous two-fluid model with finite energy
Global weak solutions to the compressible quantum Navier-Stokes equation and its semi-classical limit
Entropy and global existence for hyperbolic balance laws
On the existence of the pressure for solutions of the variational Navier-Stokes equations
Discrete functional analysis tools for some evolution equations
Two phase flows of compressible viscous fluids
Global existence of entropy-weak solutions to the compressible Navier-Stokes equations with non-linear density dependent viscosities
Partially dissipative one-dimensional hyperbolic systems in the critical regularity setting, and applications
Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem
Weak solutions for some compressible multicomponent fluid models
Quantitative regularity estimates for compressible transport equations
Propagation of density-oscillations in solutions to the barotropic compressible Navier-Stokes system
Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations
On the movement of a space-filling viscous liquid
Well-posed and ill-posed behaviour of the -rheology for granular flow
Compressible Navier-Stokes Equations
An Introduction to the Mathematical Theory of the Navier-Stokes Equations
Thermo-Fluid Dynamics of Two-Phase Flow
A discretization of the phase mass balance in fractional step algorithms for the drift-flux model
On baer-nunziato multiphase flow models
On the Wave Structure of Two‐Phase Flow Models
On the Barotropic Compressible Navier–Stokes Equations
A brief introduction to homogenization and miscellaneous applications
Two-phase modeling of deflagration-to-detonation transition in granular materials: A critical examination of modeling issues
An unconditionally stable finite element-finite volume pressure correction scheme for the drift-flux model
Lagrangian coordinates for a drift-flux model of a gas-liquid mixture
EXISTENCE AND UNIQUENESS OF STRONG SOLUTIONS FOR A COMPRESSIBLE MULTIPHASE NAVIER–STOKES MISCIBLE FLUID-FLOW PROBLEM IN DIMENSION n = 1
Somk remarks on the navier-stokes equations with a pressure-dependent viscosity
A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
Granular Media
Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations
Well-posed continuum equations for granular flow with compressibility and μ ( I )-rheology
Pressure-Dependent Viscosity Model for Granular Media Obtained from Compressible Navier–Stokes Equations
Low Mach Number Limit of Viscous Polytropic Flows: Formal Asymptotics in the Periodic Case
On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
A compressible multifluid system with new physical relaxation terms
Compressible Navier–Stokes equations with heterogeneous pressure laws
Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations
Mathematical justification of a compressible bifluid system with different pressure laws: a continuous approach
Convergence of a finite volume scheme for the compressible Navier–Stokes system
Note on the derivation of multi-component flow systems
Isothermal Navier--Stokes Equations and Radon Transform
A depth-averaged debris-flow model that includes the effects of evolving dilatancy. I. Physical basis
Low Mach number limit of some staggered schemes for compressible barotropic flows
Singular limits in thermodynamics of viscous fluids
Global existence in critical spaces for flows of compressible viscous and heat-conductive gases
On the existence of globally defined weak solutions to the Navier-Stokes equations
Critical regularity issues for the compressible Navier-Stokes system in bounded domains
‘Uncertainty’ principle in two fluid–mechanics
A new convergence proof for approximations of the Stefan problem
Global existence of weak solutions for compresssible Navier-Stokes-Fourier equations with the truncated virial pressure law
Functional inequalities and strong Lyapunov functionals for free surface flows in fluid dynamics
Weak solutions of 3D compressible Navier-Stokes equations in critical case
Mathematical justification of a compressible bi-fluid system with different pressure laws: a semi-discrete approach and numerical illustrations
Pressure-relaxation limit for a one-velocity Baer–Nunziato model to a Kapila model
Analysis of compressible bubbly flows. Part I: construction of a microscopic model
Analysis of compressible bubbly flows. Part II: Derivation of a macroscopic model
A new construction of weak solutions to compressible Navier-Stokes equations
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