On the Cauchy problem of the modified Hunter-Saxton equation
type: Item
instance of: scholarly article
title: On the Cauchy problem of the modified Hunter-Saxton equation
zbMATH Open document ID: 1353.35050
author: Yongsheng Mi
author: Pan Zheng
author: Chunlai Mu
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2016-12-22T00:00:00Z
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 6667932
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: the modified Hunter-Saxton equation
zbMATH Keywords: local well-posedness
MaRDI profile type: Publication
full work available at URL: dcdss.2016084
OpenAlex ID: W2552639615
cites work: OPERATOR-VALUED FOURIER MULTIPLIERS ON PERIODIC BESOV SPACES AND APPLICATIONS
cites work: Inverse scattering solutions of the hunter-saxton equation
cites work: Multi-peakons and a theorem of Stieltjes
cites work: Global Solutions of the Hunter--Saxton Equation
cites work: Global conservative solutions of the Camassa-Holm equation
cites work: GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
cites work: An integrable shallow water equation with peaked solitons
cites work: Q5316239
cites work: The Hölder continuity of the solution map to the \(b\)-family equation in weak topology
cites work: On the Cauchy problem for the periodic \(b\)-family of equations and of the non-uniform continuity of Degasperis-Procesi equation
cites work: Special issue on the occasion of the 50th volume
cites work: On the inverse spectral problem for the Camassa-Holm equation
cites work: On the scattering problem for the Camassa-Holm equation
cites work: The trajectories of particles in Stokes waves
cites work: Particle trajectories in solitary water waves
cites work: Wave breaking for nonlinear nonlocal shallow water equations
cites work: Analyticity of periodic traveling free surface water waves with vorticity
cites work: Inverse scattering transform for the Camassa–Holm equation
cites work: On geodesic exponential maps of the Virasoro group
cites work: The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
cites work: A shallow water equation on the circle
cites work: Stability of peakons
cites work: Stability of the Camassa-Holm solitons
cites work: Continuous solutions for balance laws
cites work: A few remarks on the Camassa-Holm equation.
cites work: A note on well-posedness for Camassa-Holm equation.
cites work: Continuity properties of the solution map for the generalized reduced Ostrovsky equation
cites work: Controllability and asymptotic stabilization of the Camassa-Holm equation
cites work: Symplectic structures, their Bäcklund transformations and hereditary symmetries
cites work: On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
cites work: On the Cauchy problem for the two-component Camassa-Holm system
cites work: Continuity properties of the data-to-solution map for the periodic \(b\)-family equation.
cites work: Hölder continuity of the solution map for the Novikov equation
cites work: The Cauchy problem for a generalized Camassa-Holm equation
cites work: On well-posedness of the Degasperis-Procesi equation
cites work: The Cauchy problem for the Novikov equation
cites work: Non-uniform dependence on initial data for the CH equation on the line.
cites work: Non-Uniform Dependence for the Periodic CH Equation
cites work: The Cauchy problem for the Fokas-Olver-Rosenau-Qiao equation
cites work: Non-uniform continuity in \(H^1\) of the solution map of the CH equation
cites work: Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics
cites work: Q3367828
cites work: Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View
cites work: Dissipative solutions for the Camassa-Holm equation
cites work: Nonuniform dependence and well posedness for the periodic Hunter-Saxton equation.
cites work: Dynamics of Director Fields
cites work: On a completely integrable nonlinear hyperbolic variational equation
cites work: On a nonlinear hyperbolic variational equation: I. Global existence of weak solutions. II: The zero-viscosity and dispersion limits
cites work: Q4075341
cites work: Commutator estimates and the euler and navier-stokes equations
cites work: The Hunter-Saxton equation describes the geodesic flow on a sphere
cites work: The Hunter–Saxton Equation: A Geometric Approach
cites work: Well-posedness for the Cauchy problem of the modified Hunter-Saxton equation in the Besov spaces
cites work: A shallow water equation as a geodesic flow on the Bott-Virasoro group
cites work: Q3810338
cites work: Pseudodifferential operators and nonlinear PDE
cites work: Partial differential equations. 3: Nonlinear equations
cites work: The periodic Cauchy problem of the modified Hunter-Saxton equation
cites work: On the Hunter-Saxton system
cites work: On the Structure of Solutions to the Periodic Hunter--Saxton Equation
cites work: Q4269460
cites work: On the existence and uniqueness of solutions to an asymptotic equation of a variational wave equation

On the Cauchy problem of the modified Hunter-Saxton equation (cites work)
cites work: Existence and uniqueness of solutions of an asymptotic equation arising from a variational wave equation with general data

On the Cauchy problem of the modified Hunter-Saxton equation (DOI)
DOI: 10.3934/DCDSS.2016084