Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Dynamics of singularity surfaces for compressible, viscous flows in two space dimensions - MaRDI portal

Dynamics of singularity surfaces for compressible, viscous flows in two space dimensions

From MaRDI portal
Publication:4790283

DOI10.1002/cpa.10046zbMath1020.76046OpenAlexW2089766803MaRDI QIDQ4790283

David Hoff

Publication date: 28 January 2003

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.10046




Related Items

Mathematical analysis of fluids in motion: from well-posedness to model reductionDecay estimates of the smooth solution to the compressible magnetohydrodynamic equations on \(\mathbb{T}^3\)Singularities and regularity of stationary Stokes and Navier-Stokes equations on polygonal domains and their treatmentsJump dynamics due to jump datum of compressible viscous Navier-Stokes flows in a bounded plane domainLagrangian structure for two dimensional non-barotropic compressible fluidsSpherically symmetric barotropic compressible Navier-Stokes equations with density-dependent viscosity and discontinuous initial dataGlobal existence and large time behavior of strong solutions to the 2-D compressible nematic liquid crystal flows with vacuumGlobal existence of weak solutions to two dimensional compressible viscoelastic flowsInterior jump and contact singularity for compressible flows with inflow jump datumWeak-strong uniqueness for the isentropic compressible Navier-Stokes systemFree boundary value problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity and discontinuous initial dataInterior discontinuity for a stationary compressible Stokes system with inflow datumGlobal regularity of density patch for the 3D inhomogeneous Navier-Stokes equationsA jump discontinuity of compressible viscous flows grazing a non-convex cornerGlobal strong solutions of a class of non-Newtonian fluids with small initial energyGlobal well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equationsInterior jump and piecewise regularity for compressible Stokes equations in the T-shaped cavity domainCavity Dynamics and Regularity for Compressible Navier–Stokes EquationsOn the Cauchy problem of 3D nonhomogeneous magnetohydrodynamic equations with density-dependent viscosity and vacuumLow Mach number limit of solutions to the stochastic compressible magnetohydrodynamic equationsExistence of strong solutions in critical spaces for barotropic viscous fluids in larger spacesThe zero Mach number limit of the three-dimensional compressible viscous magnetohydrodynamic equationsExtension of the Hoff solutions framework to cover Navier-Stokes equations for a compressible fluid with anisotropic viscous-stress tensorExistence and exponential growth of global classical solutions to the compressible Navier-Stokes equations with slip boundary conditions in 3D bounded domainsAsymptotic behavior of reflection of discontinuities in thermoelasticity with second sound in one space variableLocal wellposedness in Sobolev space for the inhomogeneous non-resistive MHD equations on general domainIncompressible limit of the compressible Q-tensor system of liquid crystalsGlobal well-posedness of strong solutions to a two-phase model with magnetic field for large oscillations in three dimensionsNumerical simulations of jump discontinuity solutions for compressible Stokes flowsGlobal well-posedness and large-time behavior of classical solutions to the 3D Navier-Stokes system with changed viscositiesGlobal solutions to the spherically symmetric compressible Navier-Stokes equations with density-dependent viscosity and discontinuous initial dataLagrangian structure and propagation of singularities in multidimensional compressible flowGlobal solution to the 3-D inhomogeneous incompressible MHD system with discontinuous densityWeak solutions of the Navier-Stokes equations for compressible flows in a half-space with no-slip boundary conditionsGlobal well-posedness of compressible Navier-Stokes equations for some classes of large initial dataA regularity criterion for the weak solutions to the Navier-Stokes-Fourier systemMathematical theory of compressible, viscous, and heat conducting fluidsBetween homogeneous and inhomogeneous Navier-Stokes systems: the issue of stabilityRobustness of one-dimensional viscous fluid motion under multidimensional perturbationsOn the long-time behaviour of solutions to the Navier-Stokes-Fourier system with a time-dependent driving forceThe low Mach number limit for the full Navier-Stokes-Fourier systemFlow of heat conducting fluid in a time-dependent domainGlobal existence of classical solutions with large oscillations and vacuum to the three-dimensional compressible nematic liquid crystal flowsBoundary tangency for density interfaces in compressible viscous fluid flowsIncompressible limit for the compressible flow of liquid crystalsOn scaling invariance and type-I singularities for the compressible Navier-Stokes equationsGlobal existence and exponential stability for the compressible Navier-Stokes equations with discontinuous dataOn a class of physically admissible variational solutions to the Navier-Stokes-Fourier systemAsymptotic behavior of discontinuous solutions to thermoelastic systems with second soundA multi-fluid compressible system as the limit of weak solutions of the isentropic compressible Navier-Stokes equationsExistence of global strong solutions in critical spaces for barotropic viscous fluidsGlobal well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuumGlobal regularity of 2D density patches for inhomogeneous Navier-StokesExistence and uniqueness of weak solutions of the compressible spherically symmetric Navier-Stokes equationsExistence and uniqueness of low-energy weak solutions to the compressible 3D magnetohydrodynamics equationsAsymptotic behavior of discontinuous solutions in 3-D thermoelasticity with second soundExistence, stability and long time behaviour of weak solutions of the three-dimensional compressible Navier-Stokes equations with potential forceA well-posedness result for viscous compressible fluids with only bounded densityOptimal decay rates of isentropic compressible Navier-Stokes equations with discontinuous initial dataGlobal well-posedness of strong solutions with large oscillations and vacuum to the compressible Navier-Stokes-Poisson equations subject to large and non-flat doping profileGlobal weak solutions and asymptotics of a singular PDE-ODE chemotaxis system with discontinuous dataGlobal Unique Solvability of Inhomogeneous Navier-Stokes Equations with Bounded DensityA discontinuous solution for an evolution compressible Stokes system in a bounded domainLocal weak solution of the isentropic compressible Navier–Stokes equationsInterior Jump and Regularity of Compressible Viscous Navier--Stokes Flows Through a Cut



Cites Work