Results 11 to 20 of about 5,496 (165)
REGULAR GLOBAL ATTRACTORS FOR WAVE EQUATIONS WITH DEGENERATE MEMORY [PDF]
Ural Mathematical Journal, 2019 We consider the wave equation with degenerate viscoelastic dissipation recently examined in Cavalcanti, Fatori, and Ma, Attractors for wave equations with degenerate memory, J. Differential Equations (2016). Under certain extra assumptions (namely on the
Joseph L. Shomberg
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Reactive-Diffusive-Advective Traveling Waves in a Family of Degenerate Nonlinear Equations [PDF]
The Scientific World Journal, 2016 This paper deals with the analysis of existence of traveling wave solutions (TWS) for a diffusion-degenerate (at D(0)=0) and advection-degenerate (at h′(0)=0) reaction-diffusion-advection (RDA) equation.
Faustino Sánchez-Garduño +1 more
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Exact controllability for degenerate and singular wave equations
Electronic Journal of Differential EquationsIn this article, we study exact controllability for degenerate and singular wave equations with a general coefficient. We estimate the observability inequality by the multiplier method and determine the observability time. We also deduce the exact controllability of the corresponding degenerate and singular control problem at a sufficiently large ...
Guang Zhang, Shugen Chai
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Traveling Waves in Degenerate Diffusion Equations
Communications in Mathematical Research, 2023 Summary: In this survey, we present a literature review on the study of traveling waves in degenerate diffusion equations by illustrating the interesting and singular wave behavior caused by degeneracy. The main results on wave existence and stability are presented for the typical degenerate equations, including porous medium equations, flux limited ...
Xu, Tianyuan, Yin, Jingxue
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Isolated periodic wave trains in a generalized Burgers–Huxley equation
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We study the isolated periodic wave trains in a class of modified generalized Burgers–Huxley equation. The planar systems with a degenerate equilibrium arising after the traveling transformation are investigated.
Qinlong Wang +3 more
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Degenerate lump chain solutions of (4+1)-dimensional Fokas equation
Results in Physics, 2023 This paper takes (4+1)-dimensional Fokas equation as an example to introduce an ingenious limit approach to generate degenerate solutions in detail. Under this technique, we start with solutions describing lump chains and obtain degenerate solutions from
Jiaojiao Wu, Yujie Sun, Biao Li
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Saturated Fronts in Crowds Dynamics
Advanced Nonlinear Studies, 2021 We consider a degenerate scalar parabolic equation, in one spatial dimension, of flux-saturated type. The equation also contains a convective term. We study the existence and regularity of traveling-wave solutions; in particular we show that they can be ...
Campos Juan +2 more
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Advances in Nonlinear Analysis, 2022 This article focuses on the singularity formation of smooth solutions for a one-dimensional nonlinear degenerate hyperbolic-parabolic coupled system originating from the Poiseuille flow of nematic liquid crystals.
Hu Yanbo
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Control and Stabilization of Degenerate Wave Equations [PDF]
SIAM Journal on Control and Optimization, 2017 We study a wave equation in one space dimension with a general diffusion coefficient which degenerates on part of the boundary. Degeneracy is measured by a real parameter $ _a>0$. We establish observability inequalities for weakly (when $ _a \in [0,1[$) as well as strongly (when $ _a \in [1,2[$) degenerate equations.
Alabau-Boussouira F. +2 more
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Can a Finite Degenerate ‘String’ Hear Itself? Numerical Solutions to a Simplified IBVP
Journal of Optimization, Differential Equations and Their Applications, 2023 Some discrete models for a simplified (compared to that published earlier in JODEA, 28 (1) (2020), 1 – 42) initial boundary value problem for a 1D linear degenerate wave equation, posed in a space-time rectangle and solved earlier exactly (JODEA, 30 (1) (
Vladimir L. Borsch, Peter I. Kogut
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