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Global Solutions of the Navier-Stokes Equations for Multidimensional Compressible Flow with Discontinuous Initial Data

https://doi.org/10.1006/jdeq.1995.1111

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Global Regularity of 2D Density Patches for Viscous Inhomogeneous Incompressible Flow with General Density: Low Regularity Case

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Global existence of weak solution to Navier–Stokes equations with large external force and general pressure

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Some Serrin type blow‐up criteria for the three‐dimensional viscous compressible flows with large external potential force

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Global smooth solutions of 3‐D Navier‐Stokes‐Korteweg equations with large initial data

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Global classical solutions to the compressible micropolar viscous fluids with large oscillations and vacuum

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Global existence of strong solutions to the 3D isentropic compressible Navier–Stokes equations with density‐dependent viscosities

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Stability near equilibrium to the full compressible magnetohydrodynamic equations

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Global existence of low‐energy weak solutions to the compressible nematic liquid crystal flows

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Some Developments on Navier-Stokes Equations in the Second Half of the 20th Century

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Blow-Up Criteria of Strong Solutions and Conditional Regularity of Weak Solutions

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Finite Time Blowup of Regular Solutions

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Global Existence of Regular Solutions with Large Oscillations and Vacuum

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Multi-fluid Models Including Compressible Fluids

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Weak Solutions for the Compressible Navier-Stokes Equations: Existence, Stability, and Longtime Behavior

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Blow-Up Criteria of Strong Solutions and Conditional Regularity of Weak Solutions for the Compressible Navier-Stokes Equations

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Finite Time Blow-Up of Regular Solutions for Compressible Flows

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Global Existence of Regular Solutions with Large Oscillations and Vacuum for Compressible Flows

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Fluid Flow Modeling

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Acoustic Analogies

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Appendix

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Bibliographical Remarks

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Weak Solutions, A Priori Estimates

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Existence Theory

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Asymptotic Analysis: An Introduction

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Singular Limits: Low Stratification

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Stratified Fluids

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Interaction of Acoustic Waves with Boundary

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Problems on Large Domains

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Vanishing Dissipation Limits

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Large-time behavior of solutions to the equations of a viscous polytropic ideal gas

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On Spherically Symmetric Solutions¶of the Compressible Isentropic Navier–Stokes Equations

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Compressible Flow in a Half-Space with Navier Boundary Conditions

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Global Existence of Classical Solutions with Large Oscillations and Vacuum to the Three-Dimensional Compressible Nematic Liquid Crystal Flows

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Global Large Solutions and Incompressible Limit for the Compressible Navier–Stokes Equations

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Global Strong Solutions of Navier–Stokes Equations for Heat-Conducting Compressible Fluids with Vacuum at Infinity

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Global Strong Solution to the Two-Dimensional Full Compressible Navier–Stokes Equations with Large Viscosity

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Global Large Solutions to the Compressible Navier–Stokes Equations in Critical Besov Space $$\dot{B}^{-1}_{\infty ,\infty }$$

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Large-Time Behavior for Compressible Navier–Stokes–Fourier System in the Whole Space

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Local Weak Solution of the Isentropic Compressible Navier–Stokes Equations with Variable Viscosity

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Blow-up criterion for the compressible Navier–Stokes system with inflow-outflow boundary conditions

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Global solutions of the Navier–Stokes equations for isentropic flow with large external potential force

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Optimal decay rates of the compressible fluid models of Korteweg type

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Global classical solutions of 3D isentropic compressible MHD with general initial data

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Global well-posedness of strong solutions to the two-dimensional barotropic compressible Navier–Stokes equations with vacuum

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Global strong solution to the Cauchy problem of 1D compressible MHD equations with large initial data and vacuum

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On the Cauchy problem of 3D nonhomogeneous magnetohydrodynamic equations with density-dependent viscosity and vacuum

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Global regularity of density patch for the 3D inhomogeneous Navier–Stokes equations

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Global large solutions to the two-dimensional compressible Navier–Stokes equations

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Refined blow-up criteria for the three-dimensional viscous compressible flows with large external potential force and general pressure

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Global well-posedness and asymptotic behavior of 3D full compressible MHD equations with density-dependent viscosity and vacuum

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Lagrangean Structure and Propagation of Singularities in Multidimensional Compressible Flow

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Global Regularity of 2D Density Patches for Inhomogeneous Navier–Stokes

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Global Well-Posedness of Compressible Navier–Stokes Equation with $$BV\cap L^1$$ Initial Data

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Global Existence of Strong and Weak Solutions to 2D Compressible Navier–Stokes System in Bounded Domains with Large Data and Vacuum

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Global Spherically Symmetric Solutions of the Multidimensional Full Compressible Navier–Stokes Equations with Large Data

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Discontinuous Solutions of the Navier-Stokes Equations for Multidimensional Flows of Heat-Conducting Fluids

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Vanishing Shear Viscosity Limit in the Magnetohydrodynamic Equations

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The Cattaneo–Christov Approximation of Fourier Heat-Conductive Compressible Fluids

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On Local Strong Solutions to the 2D Cauchy Problem of the Compressible Non-resistive Magnetohydrodynamic Equations with Vacuum

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Blow-Up Criterion for the 3D Non-resistive Compressible Magnetohydrodynamic Equations

inferred← citeshttps://doi.org/10.1007/s11040-020-09363-1openalex-snapshot

A Continuation Principle to the Cauchy Problem of Two-Dimensional Compressible Navier-Stokes Equations with Variable Viscosity

inferred← citeshttps://doi.org/10.1007/s11401-006-0282-5openalex-snapshot

Global existence of strong solutions of Navier-Stokes-Poisson equations for one-dimensional isentropic compressible fluids

inferred← citeshttps://doi.org/10.1007/s11401-017-1093-6openalex-snapshot

Blowup criteria for full compressible Navier-Stokes equations with vacuum state

inferred← citeshttps://doi.org/10.1007/s11425-010-4045-0openalex-snapshot

A blow-up criterion of strong solutions to the 2D compressible Navier-Stokes equations

inferred← citeshttps://doi.org/10.1007/s11425-012-4360-8openalex-snapshot

Existence of strong solutions in critical spaces for barotropic viscous fluids in larger spaces

inferred← citeshttps://doi.org/10.1007/s11425-012-4481-0openalex-snapshot

Global classical solution to the three-dimensional isentropic compressible Navier-Stokes equations with general initial data

inferred← citeshttps://doi.org/10.1007/s11425-013-4717-7openalex-snapshot

Existence and uniqueness of global classical solutions to 3D isentropic compressible Navier-Stokes equations with general initial data

inferred← citeshttps://doi.org/10.1007/s11425-017-9165-4openalex-snapshot

Existence and blow-up of the solutions to the viscous quantum magnetohydrodynamic nematic liquid crystal model

inferred← citeshttps://doi.org/10.1007/s11425-017-9272-7openalex-snapshot

Weak-strong uniqueness for the compressible Navier-Stokes equations with a hard-sphere pressure law

inferred← citeshttps://doi.org/10.1007/s11425-018-9363-1openalex-snapshot

On scaling invariance and type-I singularities for the compressible Navier-Stokes equations

inferred← citeshttps://doi.org/10.1007/s11425-019-1754-0openalex-snapshot

Global weak solutions and asymptotics of a singular PDE-ODE Chemotaxis system with discontinuous data

inferred← citeshttps://doi.org/10.1007/s11425-019-9755-3openalex-snapshot

On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum

inferred← citeshttps://doi.org/10.1007/s11425-020-1733-4openalex-snapshot

Local weak solution of the isentropic compressible Navier-Stokes equations in a half-space

inferred← citeshttps://doi.org/10.1007/s11425-021-1906-2openalex-snapshot

The global classical solution to a 1D two-fluid model with density-dependent viscosity and vacuum

inferred← citeshttps://doi.org/10.1007/s11425-024-2464-4openalex-snapshot

Global solutions to isentropic compressible Navier-Stokes equations in 3D thin domains

inferred← citeshttps://doi.org/10.1007/s11464-024-0098-1openalex-snapshot

Global Classical Solutions to the Two-phase Flow Model with Slip Boundary Condition in 3D Bounded Domains

inferred← citeshttps://doi.org/10.1007/s11565-009-0067-3openalex-snapshot

On a fluid model of neutron star

inferred← citeshttps://doi.org/10.1007/s11868-023-00582-yopenalex-snapshot

Mass concentration phenomenon in the 3D bipolar compressible Navier–Stokes–Poisson system

inferred← citeshttps://doi.org/10.1007/s12220-026-02374-4openalex-snapshot

Global Stability of Large Solutions to the Compressible Navier–Stokes–Poisson System with Large Non-Flat Doping Profiles in Three-Dimensional Bounded Domains

inferred← citeshttps://doi.org/10.1007/s12220-026-02611-wopenalex-snapshot

Global Weak Solutions to the Compressible Navier–Stokes Equations Subject to Large External Potential Forces in 3D Exterior Domains

inferred← citeshttps://doi.org/10.1007/s40818-019-0064-5openalex-snapshot

Global Well-Posedness and Large Time Asymptotic Behavior of Classical Solutions to the Compressible Navier–Stokes Equations with Vacuum

inferred← citeshttps://doi.org/10.1007/s40840-024-01785-2openalex-snapshot

Global Strong Solution to the Cauchy Problem of One-dimensional Viscous Two-fluid MHD Model

inferred← citeshttps://doi.org/10.1007/s40840-025-01861-1openalex-snapshot

Strong Solutions to 3D Compressible Navier–Stokes Equations with Two-Directional Short Pulse Initial Data

inferred← citeshttps://doi.org/10.1007/s40840-025-01916-3openalex-snapshot

Space–Time Decay Rates of the Compressible Navier-Stokes Equations with Hyperbolic Heat Conduction

inferred← citeshttps://doi.org/10.1007/s42417-025-01852-3openalex-snapshot

Effect Analysis of Aeroengine Maneuvering Conditions on Aerodynamic Characteristics Based on Wake Reduced-Order Modeling

inferred← citeshttps://doi.org/10.1016/j.aim.2013.07.018openalex-snapshot

Blow-up criterions of strong solutions to 3D compressible Navier–Stokes equations with vacuum

inferred← citeshttps://doi.org/10.1016/j.aim.2020.107007openalex-snapshot

Global Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes system

inferred← citeshttps://doi.org/10.1016/j.aim.2024.109905openalex-snapshot

Sharp decay characterization for the compressible Navier-Stokes equations

inferred← citeshttps://doi.org/10.1016/j.aim.2025.110628openalex-snapshot

Global wellposedness of compressible Navier-Stokes equations with vacuum and smallness on scaling invariant quantity in R 3

inferred← citeshttps://doi.org/10.1016/j.amc.2014.01.103openalex-snapshot

Blowup analysis for two-dimensional viscous compressible, heat-conductive Navier–Stokes equations

inferred← citeshttps://doi.org/10.1016/j.aml.2011.04.028openalex-snapshot

Global existence and optimal decay rate for the strong solutions in H2 to the compressible Navier–Stokes equations

inferred← citeshttps://doi.org/10.1016/j.aml.2012.12.011openalex-snapshot

A note on the blow-up criterion for the compressible isentropic Navier–Stokes equations with vacuum

inferred← citeshttps://doi.org/10.1016/j.aml.2022.107959openalex-snapshot

Large-time behavior of the energy to the isentropic compressible Navier–Stokes equations with vacuum

inferred← citeshttps://doi.org/10.1016/j.anihpc.2008.02.004openalex-snapshot

A regularity result for a solid–fluid system associated to the compressible Navier–Stokes equations

inferred← citeshttps://doi.org/10.1016/j.anihpc.2019.04.001openalex-snapshot

Compressible fluids and active potentials

inferred← citeshttps://doi.org/10.1016/j.anihpc.2019.09.001openalex-snapshot

Convergence to equilibrium for the solution of the full compressible Navier-Stokes equations

inferred← citeshttps://doi.org/10.1016/j.bulsci.2026.103910openalex-snapshot

Global analysis of strong solutions for a general compressible two-fluid model with slip boundary conditions in 3D bounded domains

inferred← citeshttps://doi.org/10.1016/j.camwa.2017.07.002openalex-snapshot

Interior discontinuity for a stationary compressible Stokes system with inflow datum

inferred← citeshttps://doi.org/10.1016/j.cnsns.2020.105591openalex-snapshot

Numerical simulations of jump discontinuity solutions for compressible Stokes flows

inferred← citeshttps://doi.org/10.1016/j.jcp.2023.112259openalex-snapshot

Mathematical justification of a compressible bi-fluid system with different pressure laws: A semi-discrete approach and numerical illustrations

inferred← citeshttps://doi.org/10.1016/j.jde.2004.10.001openalex-snapshot

A discontinuous solution for an evolution compressible stokes system in a bounded domain

inferred← citeshttps://doi.org/10.1016/j.jde.2007.10.032openalex-snapshot

Global existence of weak solutions for a viscous two-phase model

inferred← citeshttps://doi.org/10.1016/j.jde.2010.09.010openalex-snapshot

Existence of solutions to a model for sparse, one-dimensional fluids

inferred← citeshttps://doi.org/10.1016/j.jde.2010.12.006openalex-snapshot

A blow-up criterion for a 2D viscous liquid-gas two-phase flow model

inferred← citeshttps://doi.org/10.1016/j.jde.2011.06.013openalex-snapshot

Well-posedness in critical spaces for the system of compressible Navier–Stokes in larger spaces

inferred← citeshttps://doi.org/10.1016/j.jde.2012.08.006openalex-snapshot

Global weak solutions of 3D compressible MHD with discontinuous initial data and vacuum

inferred← citeshttps://doi.org/10.1016/j.jde.2012.08.011openalex-snapshot

Boundary tangency for density interfaces in compressible viscous fluid flows

inferred← citeshttps://doi.org/10.1016/j.jde.2014.03.014openalex-snapshot

Global classical solution of the Cauchy problem to 1D compressible Navier–Stokes equations with large initial data

inferred← citeshttps://doi.org/10.1016/j.jde.2015.03.008openalex-snapshot

Global strong solution of 3D inhomogeneous Navier–Stokes equations with density-dependent viscosity

inferred← citeshttps://doi.org/10.1016/j.jde.2015.08.007openalex-snapshot

Global existence of classical solutions for isentropic compressible Navier–Stokes equations with small initial density

inferred← citeshttps://doi.org/10.1016/j.jde.2015.10.049openalex-snapshot

On the behavior of boundary layers of one-dimensional isentropic planar MHD equations with vanishing shear viscosity limit

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