On singularity of a nonlinear variational sine-Gordon equation.

DOI10.1016/S0022-0396(02)00150-XzbMath1033.35108MaRDI QIDQ1868906

Kyungwoo Song

Publication date: 28 April 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

polymerslong wavesblow-up resultsine-Gordon-type

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Statistical mechanics of polymers (82D60) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (6)

Conservative solutions to a nonlinear variational sine-Gordon equation ⋮ Unnamed Item ⋮ Energy Conservative Solutions to a One‐Dimensional Full Variational Wave System ⋮ Energy conservative solutions to the system of full variational sine-Gordon equations in a unit sphere ⋮ Singularity and existence for a multidimensional variational wave equation arising from nematic liquid crystals ⋮ Conservative solutions to a one-dimensional nonlinear variational wave equation

Cites Work

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• Nonexistence of global solutions to semilinear wave equations in high dimensions
• Finite-time blow-up for solutions of nonlinear wave equations
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• On the existence and uniqueness of solutions to an asymptotic equation of a variational wave equation
• Existence and uniqueness of solutions of an asymptotic equation arising from a variational wave equation with general data
• 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 behavior of solutions to nonlinear wave equations in three dimensions
• The equation u_tt − Δu = |u|^p for the critical value of p
• Biow-up of solutions of some nonlinear hyperbolic equations
• Dynamics of Director Fields
• A family of nonlinear Klein–Gordon equations and their solutions
• Global solutions of nonlinear wave equations
• On the second-order asymptotic equation of a variational wave equation
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
• Singular and rarefactive solutions to a nonlinear variational wave equation

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