Global existence and analyticity of \(L^p\) solutions to the compressible fluid model of Korteweg type

DOI10.1016/j.jde.2023.06.011zbMath1519.76288arXiv2203.02256MaRDI QIDQ6173693

Publication date: 21 July 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.02256

zbMATH Keywords

global-in-time existence critical Besov space Navier-Stokes-Korteweg system phase transition model Gevrey analyticity

Mathematics Subject Classification ID

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

Cites Work

Unnamed Item
On the compressible Navier-Stokes-Korteweg equations
The incompressible limit in \(L^p\) type critical spaces
Global strong solution for the Korteweg system with quantum pressure in dimension \(N\geq 2\)
Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical \(L^{p}\) framework
Existence of global strong solutions in critical spaces for barotropic viscous fluids
A global existence result for the compressible Navier--Stokes equations in the critical \(L ^{p }\) framework
Gevrey class regularity for the solutions of the Navier-Stokes equations
Strong solutions for a compressible fluid model of Korteweg type
On the thermomechanics of interstitial working
Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
Uniqueness theorems for the three dimensional Navier-Stokes system
A generalization of a theorem by Kato on Navier-Stokes equations
Global existence in critical spaces for compressible Navier-Stokes equations
Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
Flows of non-Lipschitzian vector fields and Navier-Stokes equations
Global solutions of a high dimensional system for Korteweg materials
The \(L^p\) energy methods and decay for the compressible Navier-Stokes equations with capillarity
Global large solutions and optimal time-decay estimates to the Korteweg system
Global well-posedness and time-decay estimates of the compressible Navier-Stokes-Korteweg system in critical Besov spaces
A class of global large solutions to the compressible Navier-Stokes-Korteweg system in critical Besov spaces
The global well-posedness of the compressible fluid model of Korteweg type for the critical case.
Global large solutions and incompressible limit for the compressible Navier-Stokes system with capillarity
Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions
Analyticity and decay estimates of the Navier-Stokes equations in critical Besov spaces
A low-frequency assumption for optimal time-decay estimates to the compressible Navier-Stokes equations
Structure of Korteweg models and stability of diffuse interfaces
On the Navier-Stokes initial value problem. I
Fourier Analysis and Nonlinear Partial Differential Equations
Global well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity
Solutions for Two-Dimensional System for Materials of Korteweg Type
Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
Self-similar solutions for navier-stokes equations in
Une remarque sur l'analyticité des solutions milds des équations de Navier–Stokes dans
Global existence and time decay estimate of solutions to the compressible Navier–Stokes–Korteweg system under critical condition
Gevrey analyticity and decay for the compressible Navier-Stokes system with capillarity
Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion
Existence of smooth solutions for the compressible barotropic Navier‐Stokes‐Korteweg system without increasing pressure law
The Global Well-Posedness for the Compressible Fluid Model of Korteweg Type
On the analyticity and the unique continuation theorem for solutions of the Navier-Stokes equation
Existence of solutions for compressible fluid models of Korteweg type
Global smooth solutions of 3‐D Navier‐Stokes‐Korteweg equations with large initial data

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