Results 21 to 30 of about 584 (41)
Analysis of nonlocal model of compressible fluid in 1-D [PDF]
arXiv, 2009 The compressible barotropic Navier-Stokes type system in monodimensional case with Neumann boundary condition given on free boundary is considered. The local and the global existence with uniformly boundedness for small viscosity coefficient is proved.
arxiv
Self-similar solutions for compressible Navier-Stokes equations [PDF]
arXiv, 2019 We construct forward self-similar solutions (expanders) for the compressible Navier-Stokes equations. Some of these self-similar solutions are smooth, while others exhibit a singularity do to cavitation at the origin.
arxiv
The Capillarity Problem for Compressible Liquids [PDF]
arXiv, 2006 In this paper we study existence and regularity of solutions to the capillarity problem for compressible liquids in a tube. We introduce an appropriate space of functions of bounded variation, in which the energy functional recently introduced by Robert Finn can be defined. We prove existence of a locally Lipschitz minimiser in this class.
arxiv
Local Well-Posedness of Dynamics of Viscous Gaseous Stars [PDF]
arXiv, 2007 We establish the local in time well-posedness of strong solutions to the vacuum free boundary problem of the compressible Navier-Stokes-Poisson system in the spherically symmetric and isentropic motion. Our result captures the physical vacuum boundary behavior of the Lane-Emden star configurations for all adiabatic exponents $\gamma>{6/5}$.
arxiv
Existence result for stationary compressible fluids and asymptotic behavior in thin films [PDF]
arXiv, 2009 In this paper, we are first interested in the compressible Navier-Stokes equations with densitydependent viscosities in bounded domains with on-homogeneous Dirichlet conditions. We study the wellposedness of such models with non-constant coefficients in non-stationary and stationary cases.
arxiv
Existence and qualitative properties of kinetic functions generated by diffusive-dispersive regularizations [PDF]
arXiv, 2010 We investigate the properties of traveling wave solutions to hyperbolic conservation laws augmented with diffusion and dispersion, and review the existence and qualitative properties of the associated kinetic functions, which characterize the class of admissible shock waves selected by such regularizations.
arxiv
A blow-up criterion for the compressible liquid crystals system [PDF]
arXiv, 2010 In this paper, we establish a blow-up criterion for the compressible liquid crystals equations in terms of the gradient of the velocity only, similar to the Beale-Kato-Majda criterion \cite{majda} for ideal incompressible flows and the criterion obtained by Huang and Xin \cite{xin2} for the compressible Navier-Stokes equations.
arxiv
On the regularity of the composition of diffeomorphisms [PDF]
arXiv, 2011 For $M$ being a closed manifold or the Euclidean space we present a detailed proof of regularity properties of the composition of $H^s$-regular diffeomorphisms of $M$ for $s > 1/2\dim M + 1$.
arxiv
Blowup of Smooth Solutions to the Navier-Stokes Equations for Compressible Isothermal Fluids [PDF]
arXiv, 2011 It is shown that the one-dimensional or two-dimensional radially symmetric isothermal compressible Navier-Stokes system has no non-trivial global smooth solutions if the initial density is compactly supported. This result is a generalization of Xin's work \cite{Xin98} to the isothermal case.
arxiv
Steady and self similar full Euler flow [PDF]
arXiv, 2012 We consider solutions to the full (non-isentropic) two-dimensional Euler equations that are constant in time and along rays emanating from the origin. We prove that for a polytropic equation of state, entropy admissible solutions in $L^\infty$ with non-vanishing velocity, density, and internal energy must be $BV$.
arxiv