Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier-Stokes-Fourier fluid and a damped plate equation

DOI10.1016/j.nonrwa.2020.103267zbMath1465.74051arXiv2006.00488OpenAlexW3110948350MaRDI QIDQ2025421

Debayan Maity, Takéo Takahashi

Publication date: 14 May 2021

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.00488

zbMATH Keywords

sectorial operatorstrong solutionfluid-structure interactionmaximal regularitycompressible Navier-Stokes-Fourier system

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20) Thermal effects in solid mechanics (74F05) Navier-Stokes equations (35Q30) PDEs in connection with mechanics of deformable solids (35Q74) Compressible Navier-Stokes equations (76N06)

Related Items (13)

Controllability of a Stokes system with a diffusive boundary condition ⋮ On a fluid–structure interaction problem for plaque growth ⋮ Maximal regularity for the Stokes system coupled with a wave equation: application to the system of interaction between a viscous incompressible fluid and an elastic wall ⋮ Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange ⋮ Navier-Stokes-Fourier fluids interacting with elastic shells ⋮ Short-time existence of a quasi-stationary fluid-structure interaction problem for plaque growth ⋮ Compressible fluids interacting with plates: regularity and weak-strong uniqueness ⋮ A thermal fluid-structure interaction problem: modeling, variational and numerical analysis ⋮ Controllability of a fluid-structure interaction system coupling the Navier-Stokes system and a damped beam equation ⋮ The existence of a weak solution for a compressible multicomponent fluid structure interaction problem ⋮ On the Interaction Problem between a Compressible Viscous Fluid and a Nonlinear Thermoelastic Plate ⋮ Existence of strong solutions for a system of interaction between a compressible viscous fluid and a wave equation^* ⋮ On a fluid-structure interaction problem for plaque growth: cylindrical domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(L^p\)-approach to the fluid-rigid body interaction problem for compressible fluids
• Uniqueness results for weak solutions of two-dimensional fluid-solid systems
• Small moving rigid body into a viscous incompressible fluid
• Fluid-structure interaction: Analysis of a 3-D compressible model
• Semigroup well-posedness of a linearized, compressible fluid with an elastic boundary
• Compressible fluids interacting with a linear-elastic shell
• \(L^p\)-theory for a fluid-structure interaction model
• Local existence of strong solutions of a fluid-structure interaction model
• Long-time behavior for the two-dimensional motion of a disk in a viscous fluid
• A structurally damped plate equation with Dirichlet-Neumann boundary conditions
• Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
• Existence of local strong solutions to fluid-beam and fluid-rod interaction systems
• Fluid-structure interaction and biomedical applications
• Energy equality and uniqueness of weak solutions of a ``viscous incompressible fluid \(+\) rigid body system with Navier slip-with-friction conditions in a 2D bounded domain
• Dynamics of a nonlinear elastic plate interacting with a linearized compressible viscous fluid
• Moving Interfaces and Quasilinear Parabolic Evolution Equations
• Mathematical and Numerical Analysis of Some FSI Problems
• Existence of Strong Solutions to a Fluid-Structure System
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• A Maximal Regularity Approach to the Analysis of Some Particulate Flows
• 𝐿^{𝑝}-𝐿^{𝑞} maximal regularity for some operators associated with linearized incompressible fluid-rigid body problems
• On a resolvent problem for the linearized system from the dynamical system describing the compressible viscous fluid motion
• $L^{p}$-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids
• Gevrey Regularity for a System Coupling the Navier--Stokes System with a Beam Equation
• Mathematical analysis of the motion of a rigid body in a compressible Navier–Stokes–Fourier fluid
• On the $\mathcal{R}$-Sectoriality and the Initial Boundary Value Problem for the Viscous Compressible Fluid Flow
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity

This page was built for publication: Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier-Stokes-Fourier fluid and a damped plate equation