Results 241 to 250 of about 2,467,289 (274)

Homogenization of Degenerate Wave Equations with Periodic Coefficients

SIAM Journal on Mathematical Analysis, 1993
Summary: The authors discuss homogenization of hyperbolic equations involving periodic coefficients which are degenerate relative to a certain direction. The general scheme by which effective equations are obtained is as the reiterated homogenization. The first step of the process leads to equations describing the oscillatory behavior in the direction ...
Amirat, Youcef, Hamdache, Kamel, Ziani, Abdelhamid   +2 more
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Attractors for wave equations with degenerate memory

Journal of Differential Equations, 2016
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M.M. Cavalcanti, L.H. Fatori, T.F. Ma
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Electromagnetic wave equations for relativistically degenerate quantum magnetoplasmas

Physical Review E, 2010
A generalized set of nonlinear electromagnetic quantum hydrodynamic (QHD) equations is derived for a magnetized quantum plasma, including collisional, electron spin- 1/2, and relativistically degenerate electron pressure effects that are relevant for dense astrophysical systems, such as white dwarfs.
Masood, Waqas, Eliasson, Bengt, Shukla, Padma   +2 more
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Monotonicity and uniqueness of traveling wave solutions in degenerate bistable equations

Applied Mathematics Letters, 2023
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Wei-Jian Bo, Jian-Wen Sun
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Indirect Internal Controllability of Weakly Coupled Degenerate Wave Equations

Acta Applicandae Mathematicae, 2022
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Bai, Jinyan, Chai, Shugen, Guo, Zhiling
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Some nonlinear degenerate wave equations

Nonlinear Analysis: Theory, Methods & Applications, 1987
This article is concerned with the local solvability for the initial boundary value problem (P) \[ \partial^ 2u/\partial t^ 2- (\int_{\Omega}| \text{grad} u(x,t)|^ 2 dx)^{\alpha} \Delta u=0\text{ in } \Omega \times (0,\infty), \] \[ u=0\text{ on }\partial \Omega \times (0,\infty),\quad u(\cdot,0)=\phi,\quad (\partial u/\partial t)(\cdot,0)=\psi \text ...
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The riemann problem for the nonlinear degenerate wave equations

Acta Mathematica Scientia, 2011
Abstract In this paper we consider the Riemann problem for the nonlinear degenerate wave equations. This problem has been studied by Sun and Sheng, however the so-called degenerate shock solutions did not satisfy the R-H condition. In the present paper, the Riemann solutions of twelve regions in the v – u plane are completely constructed by the Liu ...
Liu Xiaomin, Wang Zhen
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Stabilization for some degenerate wave equations

Evolution Equations and Control Theory
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Zhang, Guang, Chai, Shugen
openaire   +1 more source

The Riemann problem for nonlinear degenerate wave equations

Applied Mathematics and Mechanics, 2010
The authors study the Riemann problem for the nonlinear degenerate first-order wave equations \[ v_t=u_x,\quad u_t = (|v|^{\gamma-1}v)_x \] for \(\gamma>1\). The initial data are piecewise-constant with the jump in \(x=0\). Unknown \(u\) and \(v\) are velocity and strain respectively, the equations describe a wave in elasticity with viscosity ignored ...
Sun, Wen-hua, Sheng, Wan-cheng
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Propagation of Smoothness for Edge-degenerate Wave Equations

2001
A propagation result for an edge-degenerate wave equation in 1+1 dimensions is proved. The proposed method generalizes to other edge-degenerate wave equations.
Hayrapetyan, Ruben G., Witt, Ingo
openaire   +2 more sources