Results 131 to 140 of about 5,496 (165)
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Stabilization for some degenerate wave equations

Evolution Equations and Control Theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Guang, Chai, Shugen
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Travelling wave solutions for some degenerate parabolic equations (II)

Acta Mathematicae Applicatae Sinica, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Mingxin, Ye, Qixiao
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Traveling wave solutions for degenerate nonlinear parabolic equations

Journal of Elliptic and Parabolic Equations, 2020
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Ichida, Yu, Sakamoto, Takashi Okuda
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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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On the Stability of a Degenerate Wave Equation Under Fractional Feedbacks Acting on the Degenerate Boundary

Journal of Dynamical and Control Systems, 2022
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Hanene Zerkouk   +2 more
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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
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Persistent regional null controllability of some degenerate wave equations

Mathematical Methods in the Applied Sciences, 2017
This paper is addressed to a study of the persistent regional null controllability problems for one‐dimensional linear degenerate wave equations through a distributed controller. Different from non‐degenerate wave equations, the classical null controllability results do not hold for some degenerate wave equations.
Muming Zhang, Hang Gao
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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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Periodic Wave, Solitary Wave and Compacton Solutions of a Nonlinear Wave Equation with Degenerate Dispersion

Communications in Theoretical Physics, 2015
In this letter, we investigate traveling wave solutions of a nonlinear wave equation with degenerate dispersion. The phase portraits of corresponding traveling wave system are given under different parametric conditions. Some periodic wave and smooth solitary wave solutions of the equation are obtained.
Wen-Jing Zhu, Ai-Yong Chen, Qi-Huai Liu
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Linear stabilization for a degenerate and singular wave equations

Numerical Algebra, Control and Optimization
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Zhang, Guang, Wang, Yongjie
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