On the Half-Space or Exterior Problems of the 3D Compressible Elastic Navier–Stokes–Poisson Equations

DOI10.1137/22m1526162arXiv2306.03371OpenAlexW4385257453MaRDI QIDQ6112948

Wenpei Wu, Yong Wang

Publication date: 8 August 2023

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.03371

zbMATH Keywords

global solutionexterior problemhalf-space problemelastic Navier-Stokes-Poisson equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

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• On exponential stability of gravity driven viscoelastic flows
• Decay of the Navier-Stokes-Poisson equations
• On stabilizing effect of elasticity in the Rayleigh-Taylor problem of stratified viscoelastic fluids
• Initial boundary value problems for the compressible viscoelastic fluid
• On 2D viscoelasticity with small strain
• Global well-posedness for compressible viscoelastic fluids near equilibrium
• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• Existence and uniqueness of the solution to the dissipative 2D quasi-geostrophic equations in the Sobolev space
• Global solutions for incompressible viscoelastic fluids
• Variational principles of continuum mechanics. I: Fundamentals
• Pointwise estimates of solution for the Navier-Stokes-Poisson equations in multi-dimensions
• Optimal decay rate of the compressible Navier-Stokes-Poisson system in \(\mathbb R^3\)
• Local strong solution to the compressible viscoelastic flow with large data
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
• Sliding friction. Physical principles and applications.
• The 3D compressible viscoelastic fluid in a bounded domain
• Remarks on the Euler equation
• Global solutions to the initial boundary problem of 3-D compressible Navier-Stokes-Poisson on bounded domains
• Initial boundary value problems for the three-dimensional compressible elastic Navier-Stokes-Poisson equations
• Optimal decay of compressible Navier-Stokes equations with or without potential force
• Dispersive effect and global well-posedness of the compressible viscoelastic fluids
• Global solutions to compressible Navier-Stokes-Poisson and Euler-Poisson equations of plasma on exterior domains
• Global existence for the compressible viscoelastic system with zero shear viscosity in three dimensions
• Global existence of compressible dissipative elastodynamics systems with zero shear viscosity in two dimensions
• On diffusive 2D Fokker-Planck-Navier-Stokes systems
• Splash singularities for a general Oldroyd model with finite Weissenberg number
• \(L^\infty\) ill-posedness for a class of equations arising in hydrodynamics
• Asymptotic behavior of classical solutions to the compressible Navier-Stokes-Poisson equations in three and higher dimensions
• Time decay rates for the compressible viscoelastic flows
• Optimal decay rate for the compressible Navier-Stokes-Poisson system in the critical \(L^p\) framework
• Global existence for a 2D incompressible viscoelastic model with small strain
• An interpolation inequality in exterior domains
• Strong solutions of the equations for viscoelastic fluids in some classes of large data
• On the initial-boundary value problem for the three-dimensional compressible viscoelastic fluids with the electrostatic effect
• About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids
• A Generalized Poisson--Nernst--Planck--Navier--Stokes Model on the Fluid with the Crowded Charged Particles: Derivation and Its Well-Posedness
• Optimal decay rates for the compressible viscoelastic flows
• Global Solutions to the One-Dimensional Compressible Navier--Stokes--Poisson Equations with Large Data
• Global Existence and Optimal Decay Rates for Three-Dimensional Compressible Viscoelastic Flows
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Global Existence of Strong Solution for Equations Related to the Incompressible Viscoelastic Fluids in the Critical $L^p$ Framework
• Instability of the abstract Rayleigh–Taylor problem and applications
• The Global Existence of Small Solutions to the Incompressible Viscoelastic Fluid System in 2 and 3 Space Dimensions
• Global Regularity for Some Oldroyd‐B Type Models
• Global Solutions of Two-Dimensional Incompressible Viscoelastic Flows with Discontinuous Initial Data
• On the formulation of rheological equations of state
• Global existence of small solutions to a class of nonlinear evolution equations
• Global existence for three‐dimensional incompressible isotropic elastodynamics via the incompressible limit
• Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
• Decay of Dissipative Equations and Negative Sobolev Spaces
• Mathematical modeling and qualitative analysis of viscoelastic conductive fluids
• Vanishing Viscosity Limit for Incompressible Viscoelasticity in Two Dimensions
• On the initial‐boundary value problem of the incompressible viscoelastic fluid system
• Global Existence of Classical Solutions for the Two-Dimensional Oldroyd Model via the Incompressible Limit
• LOCAL SOLVABILITY OF AN INITIAL BOUNDARY VALUE PROBLEM FOR A QUASILINEAR HYPERBOLIC-PARABOLIC SYSTEM
• On hydrodynamics of viscoelastic fluids

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