On the maximal \(L_p-L_q\) regularity for a compressible fluid model of Korteweg type on general domains
From MaRDI portal
Publication:2288034
DOI10.1016/j.jde.2019.09.040zbMath1428.76181OpenAlexW2975363455WikidataQ127209380 ScholiaQ127209380MaRDI QIDQ2288034
Publication date: 16 January 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2019.09.040
analytic semigroupsmaximal regularityKorteweg modelgeneral domainscompressible viscous fluids\( \mathcal{R} \)-bounded solution operator families
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) PDEs of mixed type (35M10) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items
Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion ⋮ Pointwise space-time behavior of a compressible Navier-Stokes-Korteweg system in dimension three ⋮ Effect of temperature upon double diffusive instability in Navier-Stokes-Voigt models with Kazhikhov-Smagulov and Korteweg terms ⋮ The Global Well-Posedness for the Compressible Fluid Model of Korteweg Type ⋮ The \(L^p\) energy methods and decay for the compressible Navier-Stokes equations with capillarity ⋮ Resolvent estimates for a compressible fluid model of Korteweg type and their application
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and stability of time periodic solution to the compressible Navier-Stokes-Korteweg system on \(\mathbb{R}^3\)
- Strong well-posedness for a Korteweg-type model for the dynamics of a compressible non-isothermal fluid
- Existence of global weak solution for compressible fluid models of Korteweg type
- General parabolic mixed order systems in \(L_p\) and applications
- Large time behavior of solutions to the isentropic compressible fluid models of Korteweg type in \(\mathbb{R}^3\)
- Global existence and optimal \(L^2\) decay rate for the strong solutions to the compressible fluid models of Korteweg type
- Decay rates of the compressible Navier-Stokes-Korteweg equations with potential forces
- Decay estimates of the non-isentropic compressible fluid models of Korteweg type in \(\mathbb R^3\)
- Long-time behavior of solution for the compressible Navier-Stokes-Korteweg equations in \(\mathbb{R}^3\)
- Phase-field and Korteweg-type models for the time-dependent flow of compressible two-phase fluids
- Global existence and optimal decay rate of the compressible Navier-Stokes-Korteweg equations with external force
- Strong solutions for a compressible fluid model of Korteweg type
- Existence of strong solutions for nonisothermal Korteweg system
- On the thermomechanics of interstitial working
- Global well-posedness of the 3D non-isothermal compressible fluid model of Korteweg type
- Global solvability of the Navier-Stokes equations with a free surface in the maximal \(L_{p}-L_{q}\) regularity class
- Global solutions of a high dimensional system for Korteweg materials
- Strong solutions of the Navier-Stokes equations for a compressible fluid of Allen-Cahn type
- Generalized resolvent estimates of the Stokes equations with first order boundary condition in a general domain
- On the \(\mathcal {R}\)-boundedness of solution operators for the Stokes equations with free boundary condition.
- On the \(\mathcal{R}\)-boundedness of solution operator families for two-phase Stokes resolvent equations.
- Vanishing capillarity limit of the compressible non-isentropic Navier-Stokes-Korteweg system to Navier-Stokes system
- Optimal decay rates for the compressible fluid models of Korteweg type
- Existence and nonlinear stability of stationary solutions to the full compressible Navier-Stokes-Korteweg system
- Optimal decay rates of the compressible fluid models of Korteweg type
- Time periodic solutions of the non-isentropic compressible fluid models of Korteweg type
- Dynamics of Compressible Non-isothermal Fluids of Non-Newtonian Korteweg Type
- On Strong Dynamics of Compressible Nematic Liquid Crystals
- Solutions for Two-Dimensional System for Materials of Korteweg Type
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- Global classical solutions to the 3D Navier–Stokes–Korteweg equations with small initial energy
- Compressible Fluid Model of Korteweg Type with Free Boundary Condition: Model Problem
- Existence and time-asymptotics of global strong solutions to dynamic Korteweg models
- Strong solutions in the dynamical theory of compressible fluid mixtures
- On the ‐boundedness of solution operator families of the generalized Stokes resolvent problem in an infinite layer
- On the $\mathcal{R}$-Sectoriality and the Initial Boundary Value Problem for the Viscous Compressible Fluid Flow
- On the Lp-Lq maximal regularity of the Neumann problem for the Stokes equations in a bounded domain
- Vanishing Capillarity Limit of the Compressible Fluid Models of Korteweg Type to the Navier--Stokes Equations
- Existence of solutions for compressible fluid models of Korteweg type
