RAREFACTIVE SOLUTIONS TO A NONLINEAR VARIATIONAL WAVE EQUATION OF LIQUID CRYSTALS
From MaRDI portal
Publication:2747883
DOI10.1081/PDE-100002240zbMath0989.35112OpenAlexW2040123178MaRDI QIDQ2747883
Publication date: 28 July 2002
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/pde-100002240
Cauchy problemnonlinear wave equationviscous approximationsexistence and regularity of weak solutions
Related Items
LOCAL EXISTENCE AND UNIQUENESS THEORY FOR THE SECOND SOUND EQUATION IN ONE SPACE DIMENSION, Conservative solutions to a nonlinear variational wave equation, Existence of smooth solutions to a one-dimensional nonlinear degenerate variational wave equation, Degeneracy in finite time of 1D quasilinear wave equations. II, Small data global regularity and scattering for 3D Ericksen–Leslie compressible hyperbolic liquid crystal model, On the motion of the director field of a nematic liquid crystal submitted to a magnetic field and a laser beam, Conservative solutions to a nonlinear variational sine-Gordon equation, Global solutions to a nonlinear wave system arising from cholesteric liquid crystals, Unnamed Item, On Well-Posedness of Ericksen--Leslie's Hyperbolic Incompressible Liquid Crystal Model, Energy Conservative Solutions to a One‐Dimensional Full Variational Wave System, On well-posedness of Ericksen–Leslie’s parabolic–hyperbolic liquid crystal model in compressible flow, Small Data Global Regularity for the 3-D Ericksen--Leslie Hyperbolic Liquid Crystal Model without Kinematic Transport, Local discontinuous Galerkin schemes for a nonlinear variational wave equation modelling liquid crystals, The zero inertia limit from hyperbolic to parabolic Ericksen-Leslie system of liquid crystal flow, Weak solutions to a nonlinear variational wave equation and some related problems., Global solutions to vortex density equations arising from sup-conductivity, Weak solutions to a nonlinear variational wave equation with general data, Global energy conservative solutions to a system of variational wave equations, Global semigroup of conservative solutions of the nonlinear variational wave equation, Degeneracy in Finite Time of 1D Quasilinear Wave Equations, On the Cauchy problem for a nonlinear variational wave equation with degenerate initial data, Asymptotic variational wave equations, Singularity and existence for a multidimensional variational wave equation arising from nematic liquid crystals, Conservative solutions to a system of variational wave equations, Conservative solutions to a one-dimensional nonlinear variational wave equation, On the degenerate Cauchy problem for a nonlinear variational wave system, Formation of singularities for a family of 1D quasilinear wave equations, On singularity of a nonlinear variational sine-Gordon equation.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Oscillations and concentrations in weak solutions of the incompressible fluid equations
- Nonexistence of global solutions to semilinear wave equations in high dimensions
- Compressible fluid flow and systems of conservation laws in several space variables
- Ordinary differential equations, transport theory and Sobolev spaces
- Existence and partial regularity of static liquid crystal configurations
- Propagation of oscillations to 2D incompressible Euler equations
- Finite-time blow-up for solutions of nonlinear wave equations
- Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential 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
- The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
- Singularities of a variational wave equation
- Global behavior of solutions to nonlinear wave equations in three dimensions
- On the regularity of spherically symmetric wave maps
- The equation utt − Δu = |u|p for the critical value of p
- Biow-up of solutions of some nonlinear hyperbolic equations
- Formation of singularities for wave equations including the nonlinear vibrating string
- Convergence of solution to nonlinear dispersive equations
- H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
- Microlocal defect measures
- Dynamics of Director Fields
- A family of nonlinear Klein–Gordon equations and their solutions
- Regularity of harmonic maps from the Minkowski space into rotationally symmetric manifolds
- Global solutions of nonlinear wave equations
- Weak solutions and development of singularities of the SU(2) σ‐model
- An integrable shallow water equation with peaked solitons
- Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
