The global existence of weak solutions of the mollified system of equations of motion of viscous compressible fluid
The hypersonic Navier-Stokes approximation for the normal shock structure of a perfect gas with the Sutherland viscosity law: Review and extension.
The initial-boundary value problem for the non-barotropic compressible Euler equations : structural-stability and data dependence
The inviscid limit and stability of characteristic boundary layers for the compressible Navier-Stokes equations with Navier-friction boundary conditions
We study boundary layer solutions of the isentropic, compressible Navier-Stokes equations with Navier-friction boundary conditions when the viscosity constants appearing in the momentum equation are proportional to a small parameter . These boundary conditions are characteristic for the underlying inviscid problem, the compressible Euler equations.The boundary condition implies that the velocity on the boundary is proportional to the tangential component of the stress. The normal component of velocity...
The lifespan of spherically symmetric solutions of the compressible Euler equations outside an impermeable sphere
The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section
We consider the Euler equations for compressible fluids in a nozzle whose cross-section is variable and may contain discontinuities. We view these equations as a hyperbolic system in nonconservative form and investigate weak solutions in the sense of Dal Maso, LeFloch and Murat [J. Math. Pures Appl.74 (1995) 483–548]. Observing that the entropy equality has a fully conservative form, we derive a minimum entropy principle satisfied by entropy solutions. We then establish the stability of a class...
The Riemann problem for a class of resonant hyperbolic systems of balance laws
The stability of one dimensional stationary flows of compressible viscous fluids
Time-dependent coupling of Navier–Stokes and Darcy flows
A weak solution of the coupling of time-dependent incompressible Navier–Stokes equations with Darcy equations is defined. The interface conditions include the Beavers–Joseph–Saffman condition. Existence and uniqueness of the weak solution are obtained by a constructive approach. The analysis is valid for weak regularity interfaces.
Two problems in homogenization of porous media.
The main goal of this work is to present two different problems arising in Fluid Dynamics of perforated domains or porous media. The first problem concerns the compressible flow of an ideal gas through a porous media and our goal is the mathematical derivation of Darcy's law. This is relevant in oil reservoirs, agriculture, soil infiltration, etc. The second problem deals with the incompressible flow of a fluid reacting with the exterior of many packed solid particles. This is related with absorption...
Uniqueness of a solution of the Cauchy problem for one-dimensional compressible viscous micropolar fluid model.
Uniqueness theorems for steady, compressible, heat-conducting fluids: exterior domains
Si fornisce un teorema di unicità per moti stazionari regolari di fluidi compressibili, viscosi, termicamente conduttori, svolgentisi in regioni esterne a domini compatti della spazio fisico.
Uniqueness theorems for steady, compressible, heat-conducting fluids: bounded domains
Si fornisce un teorema di unicità per moti stazionari regolari di fluidi compressibili, viscosi, termicamente conduttori, svolgentisi in regioni limitate dello spazio fisico.
Weak solutions for a hyperbolic system with unilateral constraint and mass loss
Weak solutions for steady compressible Navier-Stokes-Fourier system in two space dimensions
We consider steady compressible Navier-Stokes-Fourier system in a bounded two-dimensional domain. We show the existence of a weak solution for arbitrarily large data for the pressure law if and if , , depending on the model for the heat flux.
Well-posedness of one-dimensional Korteweg models.
Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds
Zero Mach number limit in critical spaces for compressible Navier–Stokes equations
Автомодельная задача сжатия конечной массы газа
Исследование разностной системы расщепления для уравнений движений вязкого газа