Maximal L p -regularity for a 2D Fluid-Solid Interaction Problem
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Publication:3143987
DOI10.1007/978-3-0348-0297-0_19zbMath1254.35190OpenAlexW109553716MaRDI QIDQ3143987
Publication date: 6 December 2012
Published in: Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-0348-0297-0_19
PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (2)
𝐿^{𝑝}-𝐿^{𝑞} maximal regularity for some operators associated with linearized incompressible fluid-rigid body problems ⋮ The \(L^p\)-approach to the fluid-rigid body interaction problem for compressible fluids
Cites Work
- Inhomogeneous symbols, the Newton polygon, and maximal \(L^p\)-regularity
- Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
- Estimates for solutions of nonstationary Navier-Stokes equations
- \(H^\infty\)-calculus for the Stokes operator on \(L_q\)-spaces
- On the motion of rigid bodies in a viscous compressible fluid
- On the strong solvability of the Navier-Stokes equations
- Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain
- Weak Neumann implies Stokes
- Existence of solutions for the equations
- $L^{p}$-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids
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