Results 261 to 270 of about 6,537 (288)

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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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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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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Stabilization for some degenerate wave equations

Evolution Equations and Control Theory
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Zhang, Guang, Chai, Shugen
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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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Travelling wave solutions for some degenerate parabolic equations (II)

Acta Mathematicae Applicatae Sinica, 1993
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Wang, Mingxin, Ye, Qixiao
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Decay of Solution for Degenerate Wave Equation of Kirchhoff Type in Viscoelasticity

International Journal of Applied and Computational Mathematics, 2018
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Zennir, Khaled, Bayoud, Mouhssin, Georgiev, Svetlin   +2 more
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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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Stability of degenerate wave equations with a singular potential and local damping

Discrete and Continuous Dynamical Systems - B
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Akil, Mohammad, Fragnelli, Genni, Issa, Ibtissam   +2 more
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Linear evolution equations and a mixed problem for singular or degenerate wave equations

Communications in Partial Differential Equations, 1987
On considere un nouveau type d'equation d'evolution lineaire abstraite dans un espace de Banach.
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