Differential and Integral Equations

A wave equation in the curl-free space related to a smectics liquid crystal

Seiro Omata

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Abstract

A wave equation in the curl-free space is treated, and its weak solutions are constructed by use of a minimizing method. Numerical calculations are also done. Physical backgrounds are on equilibrium states of the smectics liquid crystal. Motion of zero points for the director vector is shown under control of an equation of wave type.

Article information

Source
Differential Integral Equations, Volume 18, Number 1 (2005), 61-70.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060236

Mathematical Reviews number (MathSciNet)
MR2105339

Zentralblatt MATH identifier
1212.35320

Subjects
Primary: 35L80: Degenerate hyperbolic equations
Secondary: 35D05 35J20: Variational methods for second-order elliptic equations 35L70: Nonlinear second-order hyperbolic equations 47J30: Variational methods [See also 58Exx] 76A15: Liquid crystals [See also 82D30]

Citation

Omata, Seiro. A wave equation in the curl-free space related to a smectics liquid crystal. Differential Integral Equations 18 (2005), no. 1, 61--70. https://projecteuclid.org/euclid.die/1356060236


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