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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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Abstract and Applied Analysis, 2013 This paper is concerned with traveling wave fronts for a degenerate diffusion equation with time delay. We first establish the necessary and sufficient conditions to the existence of monotone increasing and decreasing traveling wave fronts, respectively.
Weifang Yan, Rui Liu
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Localized energy for wave equations with degenerate trapping [PDF]
Mathematical Research Letters, 2019 Localized energy estimates have become a fundamental tool when studying wave equations in the presence of asymptotically at background geometry. Trapped rays necessitate a loss when compared to the estimate on Minkowski space. A loss of regularity is a common way to incorporate such.
Booth, Robert +3 more
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ON INITIAL BOUNDARY VALUE PROBLEMS FOR THE DEGENERATE 1D WAVE EQUATION
Journal of Optimization, Differential Equations and Their Applications, 2019 Initial boundary value problems in space-time rectangle for the following linear inhomogeneous degenerate wave equation of the second order smooth coefficient function a(x) vanishes in single points of segment.
Vladimir V. Borsch
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Rational solitons of wave resonant-interaction models [PDF]
, 2013 Integrable models of resonant interaction of two or more waves in 1+1 dimensions are known to be of applicative interest in several areas. Here we consider a system of three coupled wave equations which includes as special cases the vector nonlinear ...
Degasperis, Antonio +2 more
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Finite element heterogeneous multiscale methods for the wave equation [PDF]
, 2013 Wave phenomena appear in a wide range of applications such as full-waveform seismic inversion, medical imaging, or composite materials. Often, they are modeled by the acoustic wave equation.
Stohrer, Christian
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A note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation [PDF]
, 2010 Two recent papers are considered in which solitary travelling-wave solutions to the transformed reduced Ostrovsky equation are presented.
Parkes, E.J.
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On Solutions of an Extended Nonlocal Nonlinear Schrödinger Equation in Plasmas
Mathematics, 2020 The parity-time symmetric nonlocal nonlinear Schrödinger equation with self-consistent sources (PTNNLSESCS) is used to describe the interaction between an high-frequency electrostatic wave and an ion-acoustic wave in plasmas.
Yehui Huang +4 more
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Wave Patterns in One-Dimensional Nonlinear Degenerate Diffusion Equations [PDF]
, 1993 Several different types of wave patterns occur in physiology, chemistry and biology. In many cases such phenomena are modelled by reactive-diffusive parabolic systems (see, for example, Fisher 1937; Kolmogorov et al. 1937; Winfree 1988; Murray 1989; Swinney & Krinsky 1992).
Sánchez-Garduño, F, Maini, P
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Neptune Wave Power, LLC (‘NWP’), worked with OWET, the Northwest National Marine Renewable Energy Center (‘NNMREC’) and Oregon State University (O.H. Hinsdale Wave Research Laboratory) to build and test a 1/10 scale model wave energy conversion (‘WEC ...
Neptune Wave Power LLC +1 more
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