Conservative solutions to a nonlinear variational sine-Gordon equation
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Publication:641666
DOI10.1016/j.jmaa.2011.07.035zbMath1237.35024OpenAlexW2022663807MaRDI QIDQ641666
Publication date: 24 October 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.07.035
weak solutionsconservative solutionslong waves on a neutral dipole chainvariational sine-Gordon equationvariational wave equation
Second-order nonlinear hyperbolic equations (35L70) Weak solutions to PDEs (35D30) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44)
Related Items (3)
Unnamed Item ⋮ Energy conservative solutions to the system of full variational sine-Gordon equations in a unit sphere ⋮ Conservative solutions to a one-dimensional nonlinear variational wave equation
Cites Work
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- Global existence of dissipative solutions to the Hunter-Saxton equation via vanishing viscosity
- Global semigroup of conservative solutions of the nonlinear variational wave equation
- Global conservative solutions of the Camassa-Holm equation
- Conservative solutions to a nonlinear variational wave equation
- Exact solutions of semiclassical non-characteristic Cauchy problems for the sine-Gordon equation
- Weak solutions to a nonlinear variational wave equation and some related problems.
- Conservative solutions to a system of variational wave equations of nematic liquid crystals
- Lipschitz metric for the Hunter-Saxton equation
- Asymptotic variational wave equations
- Orientation waves in a director field with rotational inertia
- On a completely integrable nonlinear hyperbolic variational equation
- Weak solutions to a nonlinear variational wave equation
- Existence and uniqueness of solutions of an asymptotic equation arising from a variational wave equation with general data
- Weak solutions to a nonlinear variational wave equation with general data
- On singularity of a nonlinear variational sine-Gordon equation.
- On a nonlinear hyperbolic variational equation: I. Global existence of weak solutions. II: The zero-viscosity and dispersion limits
- Singularities of a variational wave equation
- RAREFACTIVE SOLUTIONS TO A NONLINEAR VARIATIONAL WAVE EQUATION OF LIQUID CRYSTALS
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
- The Hunter–Saxton Equation: A Geometric Approach
- Dynamics of Director Fields
- A family of nonlinear Klein–Gordon equations and their solutions
- On the second-order asymptotic equation of a variational wave equation
- On the Structure of Solutions to the Periodic Hunter--Saxton Equation
- The Generalized Hunter–Saxton System
- Global Solutions of the Hunter--Saxton Equation
- Singular and rarefactive solutions to a nonlinear variational wave equation
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