Continuous properties of the solution map for the Euler equations

DOI10.1063/1.4867622zbMath1293.35229OpenAlexW2090040885MaRDI QIDQ5414804

Hao Tang, Zheng-Rong Liu

Publication date: 7 May 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4867622

zbMATH Keywords

Euler equations for the homogeneous incompressible fluid flowssolution dependence on initial data in Besov spaces

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Euler equations (35Q31)

Related Items (11)

Global well-posedness for the Fokker-Planck-Boltzmann equation in Besov-Chemin-Lerner type spaces ⋮ On a stochastic Camassa-Holm type equation with higher order nonlinearities ⋮ On the Cauchy problem for the Boltzmann equation in Chemin-Lerner type spaces ⋮ Wave-breaking and weak instability for the stochastic modified two-component Camassa-Holm equations ⋮ Noise effects in some stochastic evolution equations: global existence and dependence on initial data ⋮ On the stochastic Euler-Poincaré equations driven by pseudo-differential/multiplicative noise ⋮ Non-uniform dependence for the periodic higher dimensional Camassa-Holm equations ⋮ Non-uniform dependence for Euler equations in Besov spaces ⋮ The periodic boundary value problem for a quasilinear evolution equation in Besov spaces ⋮ Well-posedness of the modified Camassa-Holm equation in Besov spaces ⋮ A note on the generalized Camassa-Holm equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-uniform dependence on initial data for the CH equation on the line.
• Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics
• Loss of smoothness and energy conserving rough weak solutions for the \(3d\) Euler equations
• Hydrodynamics in Besov spaces
• A few remarks on the Camassa-Holm equation.
• Local well-posedness for the incompressible Euler equations in the critical Besov spaces.
• On the regularity of the trajectories of a perfect fluid
• On the uniqueness in critical spaces for compressible Navier-Stokes equations
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• Vorticity and Incompressible Flow
• A note on the solution map for the periodic Camassa–Holm equation
• Fourier Analysis and Nonlinear Partial Differential Equations
• Ill-posedness of the basic equations of fluid dynamics in Besov spaces
• Non-Uniform Dependence for the Periodic CH Equation
• Commutator estimates and the euler and navier-stokes equations
• OPERATOR-VALUED FOURIER MULTIPLIERS ON PERIODIC BESOV SPACES AND APPLICATIONS
• Incompressible flows of an ideal fluid with vorticity in borderline spaces of besov type1
• Hölder continuity of the solution map for the Novikov equation
• On the Euler equations of incompressible fluids
• The Cauchy problem for a generalized Camassa-Holm equation
• Incompressible flows of an ideal fluid with unbounded vorticity

This page was built for publication: Continuous properties of the solution map for the Euler equations