REGULAR GLOBAL ATTRACTORS FOR WAVE EQUATIONS WITH DEGENERATE MEMORY [PDF]
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]
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
doaj +4 more sources
Ergodicity for SDEs and approximations: Locally Lipschitz vector fields and degenerate noise [PDF]
The ergodic properties of SDEs, and various time discretizations for SDEs, are studied. The ergodicity of SDEs is established by using techniques from the theory of Markov chains on general state spaces, such as that expounded by Meyn-Tweedie ...
Stuart, A.M. +2 more
core +4 more sources
Wave Climate, Geotechnical and Geophysical Analysis of the Tillamook Jetties [PDF]
Wave Energy AS (WE) is an ocean energy company from Norway established to develop, test, market and commercialize the patented SSG™ wave energy converter technology.
Wave Energy AS, Bakke, Monica
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Traveling Waves in Degenerate Diffusion Equations
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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Control and Stabilization of Degenerate Wave Equations [PDF]
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 $μ_a>0$. We establish observability inequalities for weakly (when $μ_a \in [0,1[$) as well as strongly (when $μ_a \in [1,2[$) degenerate equations.
Alabau-Boussouira F. +2 more
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Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch) [PDF]
An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact
Deng, Xijun, Cao, Jinlong, Parkes, E.J.
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The Initial Value Problem for a Degenerate Wave Equation [PDF]
The Cauchy problem for a degenerate wave equation, for which the spatial part is essentially a hypoelliptic sum of squares, is solved via a suitable modification of the standard Hilbert space approach for the usual problem.
Kannai, Y., Kiro, S.
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Null controllability of some degenerate wave equations [PDF]
14 pages, 1 ...
Muming Zhang, Hang Gao 0001
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Indirect Boundary Controllability of Coupled Degenerate Wave Equations
Abstract In this paper, we consider a system of two degenerate wave equations coupled through the velocities, only one of them being controlled. We assume that the coupling parameter is sufficiently small and we focus on null controllability problem.
Alhabib Moumni +2 more
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