Length of Vorticity Nodal Sets for Solutions of the 2D Navier–Stokes Equations

DOI10.1081/PDE-120020496zbMath1048.35061MaRDI QIDQ4807607

Igor Kukavica

Publication date: 19 May 2003

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

minimal stateperiodic Navier-Stokes equationscontinuation estimate

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Viscous vortex flows (76D17) Fundamentals of turbulence (76F02)

Related Items (7)

A local asymptotic expansion for a solution of the Stokes system ⋮ Strong unique continuation for the Navier-Stokes equation with non-analytic forcing ⋮ The asymptotic finite-dimensional character of a spectrally-hyperviscous model of 3D turbulent flow ⋮ Strong unique continuation for higher order elliptic equations with Gevrey coefficients ⋮ Quantitative unique continuation for a parabolic equation ⋮ Convergence of Galerkin solutions and continuous dependence on data in spectrally-hyperviscous models of 3D turbulent flow ⋮ On quantitative uniqueness for parabolic equations

Cites Work

• Unnamed Item
• Spectral barriers and inertial manifolds for dissipative partial differential equations
• Gevrey class regularity for the solutions of the Navier-Stokes equations
• Nodal sets of eigenfunctions on Riemannian manifolds
• A strong unique continuation theorem for parabolic equations
• Space analyticity for the Navier-Stokes and related equations with initial data in \(L^p\)
• Nodal volumes for eigenfunctions of analytic regular elliptic problems
• Level sets of the vorticity and the stream function for the 2D periodic Navier-Stokes equations with potential forces
• Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\)
• Navier-Stokes equations and area of interfaces
• Nodal sets of solutions of elliptic and parabolic equations
• The zero set of a solution of a parabolic equation.
• Self-similar variables and the complex ginzburg-landau equation
• A ladder inequality for the Navier-Stokes equation
• On the dissipative scale for the Navier-Stokes equation
• Qnique Continuation for
• Lower Bounds and Uniqueness Theorems for Solutions of Differential Equations in a Hilbert Space

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