The almost global existence to classical solution for a 3-D wave equation of nematic liquid-crystals

2012/08/01 by Yi Du, Geng Chen, Du, Yi +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #math.AP

paper · pdf · doi:10.48550/arxiv.1208.0246

arxiv created 2012/08/01 · openalex publication_date 2012/08/01 · arxiv updated 2012/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we obtain the wave equation modeling the nematic liquid-crystals in three space dimensions and study the lifespan of classical solution to Cauchy problem. The almost global existence to classical solution for small initial data will be presented.

Citations

• On the blowup and lifespan of smooth solutions to a class of 2-D nonlinear wave equations with small initial data
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Conservative Solutions to a System of Variational Wave Equations of Nematic Liquid Crystals

Related

• Singularity and existence to a wave system of nematic liquid crystals
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• Existence and large time behavior to the nematic liquid crystal equations in Besov-Morrey spaces