A quasilinear system related with the asymptotic equation of the nematic liquid crystal's director field

DOI10.1007/s11401-021-0251-zzbMath1475.35267OpenAlexW3143146111MaRDI QIDQ2044104

João-Paulo Dias

Publication date: 4 August 2021

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-021-0251-z

zbMATH Keywords

conservation lawSchrödinger equationnematic liquid crystaldirector fieldBenney system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) NLS equations (nonlinear Schrödinger equations) (35Q55) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for first-order hyperbolic systems (35L50) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Strong solutions to PDEs (35D35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-existence of global solutions for a quasilinear Benney system
• Existence of local strong solutions for a quasilinear Benney system
• Vanishing viscosity with short wave-long wave interactions for systems of conservation laws
• Asymptotic variational wave equations
• On a nonlinear hyperbolic variational equation: I. Global existence of weak solutions. II: The zero-viscosity and dispersion limits
• On a quasilinear nonlocal Benney system
• EXISTENCE OF WEAK SOLUTIONS FOR A QUASILINEAR VERSION OF BENNEY EQUATIONS
• Dynamics of Director Fields
• A General Theory for Interactions Between Short and Long Waves
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations

This page was built for publication: A quasilinear system related with the asymptotic equation of the nematic liquid crystal's director field