\(L^q\)-\(L^r\) estimate of the Oseen flow in plane exterior domains
From MaRDI portal
Publication:267155
DOI10.2969/jmsj/06810295zbMath1343.35187OpenAlexW2283752845MaRDI QIDQ267155
Publication date: 8 April 2016
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jmsj/1453731543
Asymptotic behavior of solutions to PDEs (35B40) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30)
Related Items (7)
Large time behavior of a generalized Oseen evolution operator, with applications to the Navier-Stokes flow past a rotating obstacle ⋮ Existence of a stationary Navier-Stokes flow past a rigid body, with application to starting problem in higher dimensions ⋮ On fractional Leibniz rule for Dirichlet Laplacian in exterior domain ⋮ An alternative proof of \(L^q-L^r\) estimates of the Oseen semigroup in higher dimensional exterior domains ⋮ ON LOCAL ENERGY DECAY ESTIMATE OF THE OSEEN SEMIGROUP IN TWO DIMENSIONS AND ITS APPLICATION ⋮ Decay estimates of gradient of a generalized Oseen evolution operator arising from time-dependent rigid motions in exterior domains ⋮ ON STABILITY OF PHYSICALLY REASONABLE SOLUTIONS TO THE TWO-DIMENSIONAL NAVIER–STOKES EQUATIONS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the global existence of classical solutions of second order fully nonlinear hyperbolic equations with first order dissipation in the exterior domain
- On the solutions of a class of equations occurring in continuum mechanics, with application to the Stokes paradox
- On the rate of decay of the Oseen semigroup in exterior domains and its application to Navier-Stokes equation
- \(L_{p}-L_{q}\) estimate of the Stokes operator and Navier-Stokes flows in the exterior of a rotating obstacle
- Spectral properties in \(L^q\) of an Oseen operator modelling fluid flow past a rotating body
- \(L_ q-L_ r\) estimates for solutions of the nonstationary Stokes equation in an exterior domain and the Navier-Stokes initial value problems in \(L_ q\) spaces
- Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
- On nonstationary solutions of the Navier-Stokes equations in an exterior domain
- Estimates for solutions of nonstationary Navier-Stokes equations
- On the \(L_q-L_r\) estimates of the Stokes semigroup in a two-dimensional exterior domain
- On the boundedness of the Stokes semigroup in two-dimensional exterior domains
- On the Oseen equation in the three dimensional exterior domains
- Remark on the \(L_q-L_\infty\) estimate of the Stokes semigroup in a 2-dimensional exterior domain
- Generalized resolvent estimates for the Stokes system in bounded and unbounded domains
- Fundamental solutions of Stokes and Oseen problem in two spatial dimensions
- Estimates at infinity for stationary solutions of the Navier-Stokes equations in two dimensions
- On the linearized hydrodynamical equations in two dimensions
- On the stationary solutions of the Navier-Stokes equations in two dimensions
- On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
- On the Relation Between the Large Time Behavior of the Stokes Semigroup and the Decay of Steady Stokes Flow at Infinity
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- On an exterior initial-boundary value problem for Navier-Stokes equations
- Local energy decay of solutions to the Oseen equation in the exterior domains
- Estimates of Oseen kernels in weighted \(L^p\) spaces
This page was built for publication: \(L^q\)-\(L^r\) estimate of the Oseen flow in plane exterior domains
