Global Solution to a Non-linear Wave Equation of Liquid Crystal in the Constant Electric Field

SIAM Undergraduate Research Online ◽

10.1137/18s017557 ◽

2019 ◽

Vol 12 ◽

Author(s):

Linjun Huang

Keyword(s):

Wave Equation ◽

Liquid Crystal ◽

Electric Field ◽

Global Solution ◽

Constant Electric Field ◽

Linear Wave ◽

Linear Wave Equation ◽

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Exponential decay of non-linear wave equation with a viscoelastic boundary condition

Mathematical Methods in the Applied Sciences ◽

10.1002/(sici)1099-1476(20000110)23:1<41::aid-mma102>3.0.co;2-b ◽

2000 ◽

Vol 23 (1) ◽

pp. 41-61 ◽

Author(s):

Jaime E. Mu�oz Rivera ◽

Doherty Andrade

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Exponential Decay ◽

Linear Wave ◽

Linear Wave Equation ◽

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Conserved quantities for -dimensional non-linear wave equation on curved surfaces

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2012.12.004 ◽

2013 ◽

Vol 18 (7) ◽

pp. 1684-1693 ◽

Author(s):

Sumaira Sharif ◽

Adil Jhangeer

Keyword(s):

Wave Equation ◽

Linear Wave ◽

Conserved Quantities ◽

Curved Surfaces ◽

Linear Wave Equation ◽

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Bifurcations of traveling wave solutions in a coupled non-linear wave equation

Chaos Solitons & Fractals ◽

10.1016/s0960-0779(02)00442-3 ◽

2003 ◽

Vol 17 (5) ◽

pp. 941-950 ◽

Author(s):

Lijun Zhang ◽

Jibin Li

Keyword(s):

Wave Equation ◽

Traveling Wave ◽

Traveling Wave Solutions ◽

Linear Wave ◽

Linear Wave Equation ◽

Wave Solutions ◽

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The stability of a solution of the non-linear wave equation

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(76)90048-3 ◽

1976 ◽

Vol 16 (6) ◽

pp. 137-143 ◽

Author(s):

N.A. Tikhonov

Keyword(s):

Wave Equation ◽

Linear Wave ◽

Linear Wave Equation ◽

Stability Of A Solution ◽

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The Global Attractors for the Periodic Initial Value Problem For a Coupled Non-linear Wave Equation

Mathematical Methods in the Applied Sciences ◽

10.1002/(sici)1099-1476(19960125)19:2<131::aid-mma763>3.0.co;2-a ◽

1996 ◽

Vol 19 (2) ◽

pp. 131-144 ◽

Author(s):

Guo Boling ◽

Yang Linge

Keyword(s):

Wave Equation ◽

Initial Value Problem ◽

Global Attractors ◽

Linear Wave ◽

Initial Value ◽

Linear Wave Equation ◽

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Singularities of the solution of a non-linear wave equation

Proceedings of the Japan Academy ◽

10.3792/pja/1195523458 ◽

1962 ◽

Vol 38 (3) ◽

pp. 75-77

Author(s):

Sadakazu Aizawa

Keyword(s):

Wave Equation ◽

Linear Wave ◽

Linear Wave Equation ◽

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The method of non-linear time transformation in boundary-value problems of potential theory with moving boundaries for the non-linear wave equation

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(91)90149-o ◽

1991 ◽

Vol 55 (6) ◽

pp. 944-948

Author(s):

V.A. Pozdeyev

Keyword(s):

Wave Equation ◽

Boundary Value Problems ◽

Potential Theory ◽

Linear Time ◽

Boundary Value ◽

Moving Boundaries ◽

Time Transformation ◽

Linear Wave ◽

Linear Wave Equation ◽

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Stability of Lie groups of the perturbed non-linear wave equation

Proceedings of the seventh International Colloquium on Differential Equations ◽

10.1515/9783112319185-041 ◽

1997 ◽

pp. 305-312

Keyword(s):

Wave Equation ◽

Linear Wave ◽

Linear Wave Equation ◽

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The global Cauchy problem for the critical non-linear wave equation

Journal of Functional Analysis ◽

10.1016/0022-1236(92)90044-j ◽

1992 ◽

Vol 110 (1) ◽

pp. 96-130 ◽

Author(s):

J Ginibre ◽

A Soffer ◽

G Velo

Keyword(s):

Cauchy Problem ◽

Wave Equation ◽

Linear Wave ◽

Linear Wave Equation ◽

Global Cauchy Problem

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Existence of a global solution to a semi–linear wave equation with slowly decreasing initial data in three space dimensions

Communications in Partial Differential Equations ◽

10.1080/03605308608820470 ◽

1986 ◽

Vol 11 (13) ◽

pp. 1459-1487 ◽

Author(s):

Fumioki Asakura

Keyword(s):

Wave Equation ◽

Initial Data ◽

Global Solution ◽

Linear Wave ◽

Linear Wave Equation ◽

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