Global estimates and blow-up criteria for the generalized Hunter-Saxton system

DOI10.3934/dcdsb.2015.20.641zbMath1304.35142arXiv1307.4504OpenAlexW2019079430MaRDI QIDQ489270

Publication date: 20 January 2015

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.4504

zbMATH Keywords

blow-up global existence convergence to steady states generalized Hunter-Saxton system Ermakov-Pinney equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Blow-up in context of PDEs (35B44)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Geometry of diffeomorphism groups, complete integrability and geometric statistics
The generalized Proudman-Johnson equation revisited
Blow-up of solutions to the generalized inviscid Proudman-Johnson equation
Solitary wave solutions of the generalized two-component Hunter-Saxton system
Wave breaking and global existence for the generalized periodic two-component Hunter-Saxton system
Weak geodesic flow on a semidirect product and global solutions to the periodic Hunter-Saxton system
On an integrable two-component Camassa-Holm shallow water system
On smooth traveling waves of an integrable two-component Camassa-Holm shallow water system
Global weak solutions for a periodic two-component \(\mu \)-Hunter-Saxton system
Global well-posedness of the \(3D\) primitive equations with partial vertical turbulence mixing heat diffusion
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
The periodic Cauchy problem of the modified Hunter-Saxton equation
Nonlinearity from linearity: the Ermakov-Pinney equation revisited
Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system
Global and singular solutions to the generalized Proudman-Johnson equation
Well-posedness of the generalized Proudman-Johnson equation without viscosity
On the Hunter-Saxton system
On the inviscid Proudman-Johnson equation
Some similarity solutions of the Navier-Stokes equations and related topics
Classical solutions of the periodic Camassa-Holm equation.
Global existence of solutions to the generalized Proudman-Johnson equation
Euler equations on homogeneous spaces and Virasoro orbits
Global existence for the generalized two-component Hunter-Saxton system
Global weak solutions to the generalized Proudman-Johnson equation
Regularity of stagnation-point form solutions of the two-dimensional Euler equations.
Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics
Blowup in stagnation-point form solutions of the inviscid 2d Boussinesq equations
Weak geodesic flow and global solutions of the Hunter-Saxton equation
Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
Blow-up and global solutions to a new integrable model with two components
On the differential equations of the simplest boundary-layer problems
The Hunter-Saxton System and the Geodesics on a Pseudosphere
GENERALIZED CHARACTERISTICS AND THE HUNTER–SAXTON EQUATION
Inverse scattering solutions of the hunter-saxton equation
On the Role of the Convection Term in the Equations of Motion of Incompressible Fluid
A Note on Traveling Wave Solutions to the Two Component Camassa–Holm Equation
On the blow-up problem for the axisymmetric 3D Euler equations
On a generalization of the Constantin–Lax–Majda equation
On Solutions to a Two-Component Generalized Camassa-Holm Equation
Stability of Solitary Waves and Wave-Breaking Phenomena for the Two-Component Camassa-Holm System
Blow-up of unsteady two-dimensional Euler and Navier-Stokes solutions having stagnation-point form
Dynamics of Director Fields
A derivation of equations for wave propagation in water of variable depth
Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
The Camassa–Holm equation for water waves moving over a shear flow
An integrable shallow water equation with peaked solitons
Camassa–Holm, Korteweg–de Vries and related models for water waves
On the Structure of Solutions to the Periodic Hunter--Saxton Equation
The Gurevich–Zybin system
A simple one‐dimensional model for the three‐dimensional vorticity equation
The role of initial curvature in solutions to the generalized inviscid Proudman-Johnson equation
Global Existence of Some Infinite Energy Solutions for a Perfect Incompressible Fluid
The Generalized Hunter–Saxton System
Dynamic stability of the three‐dimensional axisymmetric Navier‐Stokes equations with swirl
Global Solutions of the Hunter--Saxton Equation
Boundary-layer growth near a rear stagnation point
The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0
Global existence of solutions to the Proudman-Johnson equation

This page was built for publication: Global estimates and blow-up criteria for the generalized Hunter-Saxton system