scientific article; zbMATH DE number 1140118
From MaRDI portal
Publication:4385187
zbMath0958.35103MaRDI QIDQ4385187
Paolo Maremonti, Vsevolod A. Solonnikov
Publication date: 13 May 1998
Full work available at URL: http://www.numdam.org/item?id=ASNSP_1997_4_24_3_395_0
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
energy estimatesCauchy problemimbedding theorem\(L_p\)-estimatesexterior Stokes problemestimates of derivatives
Related Items
\(L^q\)-\(L^r\) estimate of the Oseen flow in plane exterior domains ⋮ On the space-time regularity of \(C(0,T;L^n)\)-very weak solutions to the Navier-Stokes equations ⋮ The \(L_p\)-\(L_q\) decay estimate for the multidimensional compressible flow with free surface in the exterior domain ⋮ Large time behavior of a generalized Oseen evolution operator, with applications to the Navier-Stokes flow past a rotating obstacle ⋮ \(L_{p}-L_{q}\) estimate of the Stokes operator and Navier-Stokes flows in the exterior of a rotating obstacle ⋮ A maximal regularity estimate for the non-stationary Stokes equation in the strip ⋮ On the Relation Between the Large Time Behavior of the Stokes Semigroup and the Decay of Steady Stokes Flow at Infinity ⋮ On the two-dimensional Stokes problem in exterior domains: the maximum modulus theorem ⋮ A remark on the Stokes problem with initial data in \(L^1\) ⋮ Estimates for solutions of the nonstationary Stokes problem in anisotropic Sobolev spaces with mixed norm ⋮ Asymptotics of solutions to the Navier-Stokes system in exterior domains ⋮ Global existence of solutions to 2-D Navier-Stokes flow with non-decaying initial data in half-plane ⋮ On the Stokes problem in exterior domains: the maximum modulus theorem ⋮ Regular solutions to the Navier-Stokes equations with an initial data in \(L(3,\infty )\) ⋮ On the Navier-Stokes problem in exterior domains with non decaying initial data ⋮ Pointwise spatial decay of weak solutions to the Navier-Stokes system in 3D exterior domains ⋮ Non-decaying solutions to the Navier Stokes equations in exterior domains ⋮ Stability of time-dependent motions for fluid-rigid ball interaction ⋮ Anisotropically weighted Lq$L^q$‐Lr$L^r$ estimates of the Oseen semigroup in exterior domains, with applications to the Navier–Stokes flow past a rigid body ⋮ Stability of planar exterior stationary flows with suction ⋮ Incompressible flows with piecewise constant density ⋮ Large time behaviour for the motion of a solid in a viscous incompressible fluid ⋮ On regularity of weak solutions to the instationary Navier-Stokes system: a review on recent results ⋮ On weak \(D\)-solutions to the non-stationary Navier-Stokes equations in a three-dimensional exterior domain ⋮ Remarks on the energy equality for the 3D Navier-Stokes equations ⋮ Some new properties of a suitable weak solution to the Navier-Stokes equations ⋮ On the energy equality for the 3D Navier-Stokes equations ⋮ Small moving rigid body into a viscous incompressible fluid ⋮ Global existence of weak solutions to 3D Navier-Stokes IBVP with non-decaying initial data in exterior domains ⋮ Long-time behavior for the two-dimensional motion of a disk in a viscous fluid ⋮ A remark on the partial regularity of a suitable weak solution to the Navier-Stokes Cauchy problem ⋮ On fractional Leibniz rule for Dirichlet Laplacian in exterior domain ⋮ On stability of steady circular flows in a two-dimensional exterior disk ⋮ Liouville theorems for the Stokes equations with applications to large time estimates ⋮ Pointwise upper bounds for the solution of the Stokes equation on \(L_\sigma^\infty(\varOmega)\) and applications ⋮ On time-periodic solutions to the Boussinesq equations in exterior domains ⋮ Steady-state Navier-Stokes flows past a rotating body: Leray solutions are physically reasonable ⋮ Navier-Stokes flow past a rigid body: attainability of steady solutions as limits of unsteady weak solutions, starting and landing cases ⋮ Two-dimensional incompressible viscous flow around a small obstacle ⋮ Global existence of solutions to 2-D Navier-Stokes flow with non-decaying initial data in exterior domains ⋮ Local Regularity Results for the Instationary Navier-Stokes Equations Based on Besov Space Type Criteria ⋮ Bounded Analyticity of the Stokes Semigroup on Spaces of Bounded Functions ⋮ An alternative proof of \(L^q-L^r\) estimates of the Oseen semigroup in higher dimensional exterior domains ⋮ Attainability of time-periodic flow of a viscous liquid past an oscillating body ⋮ A remark on the non-uniqueness in \(L^{\infty}\) of the solutions to the two-dimensional Stokes problem in exterior domains ⋮ Conditional stability and periodicity of solutions to evolution equations ⋮ Some interpolation inequalities involving Stokes operator and first order derivatives ⋮ 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 ⋮ New Maximal Regularity Results for the Heat Equation in Exterior Domains, and Applications ⋮ Spatial pointwise behavior of time-periodic Navier-Stokes flow induced by oscillation of a moving obstacle ⋮ Nonstationary Stokes equations in a half-space with continuous initial data ⋮ On the \(L^p-L^q\) estimates of the gradient of solutions to the Stokes problem ⋮ Existence, uniqueness and attainability of periodic solutions of the Navier-Stokes equations in exterior domains ⋮ Decay estimates of gradient of the Stokes semigroup in exterior Lipschitz domains ⋮ About Compressible Viscous Fluid Flow in a 2-dimensional Exterior Domain ⋮ A note on the Navier-Stokes IBVP with small data in \(L^n\)
Cites Work
- Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains
- Existence, uniqueness and \(L^ q\)-estimates for the Stokes problem in an exterior domain
- Some results on the asymptotic behaviour of weak Hopf solutions of the Navier-Stokes equations in unbounded domains
- \(L_ q-L_ r\) estimates for solutions of the nonstationary Stokes equation in an exterior domain and the Navier-Stokes initial value problems in \(L_ q\) spaces
- Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
- \(L^ 2\)-decay for Navier-Stokes flows in unbounded domains, with application to exterior stationary flows
- Estimates for solutions of nonstationary Navier-Stokes equations
- Decay properties of strong solutions for the Navier-Stokes equations in two-dimensional unbounded domains
- On the boundedness of the Stokes semigroup in two-dimensional exterior domains
- Estimates for solutions of the nonstationary Stokes problem in anisotropic Sobolev spaces with mixed norm
- The exterior nonstationary problem for the Navier-Stokes equations in regions with moving boundaries
- Monotonic decreasing and asymptotic behavior of the kinetic energy for weak solutions of the Navier-Stokes equations in exterior domains
- On the asymptotic behaviour of the \(L^ 2\)-norm of suitable weak solutions to the Navier-Stokes equations in three-dimensional exterior domains
- CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
- A solution formula for the Stokes equation in Rn+
- The stationary and non‐stationary stokes system in exterior domains with non‐zero divergence and non‐zero boundary values
- Estimates of the solutions of a nonstationary linearized system of Navier-Stokes equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: