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Boundary controllability for a degenerate and singular wave equation
Mathematical Methods in the Applied Sciences, 2022 In this paper, we deal with the boundary controllability of a one‐dimensional degenerate and singular wave equation with degeneracy and singularity occurring at the boundary of the spatial domain. Exact boundary controllability is proved in the range of both subcritical and critical potentials and for sufficiently large time, through a boundary ...
Brahim Allal +2 more
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Stability for Degenerate Wave Equations with Drift Under Simultaneous Degenerate Damping
Journal of Differential EquationsIn this paper we study the stability of two different problems. The first one is a one-dimensional degenerate wave equation with degenerate damping, incorporating a drift term and a leading operator in non-divergence form. In the second problem we consider a system that couples degenerate and non-degenerate wave equations, connected through ...
Mohammad Akil +2 more
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Boundary Controllability for a Degenerate Wave Equation in Nondivergence Form with Drift
SIAM Journal on Control and Optimization, 2023 We consider a degenerate wave equation with drift in presence of a leading operator which is not in divergence form. We provide some conditions for the boundary controllability of the associated Cauchy problem.
Boutaayamou, Idriss +2 more
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Advances in Nonlinear Analysis, 2022 This article deals with the degenerate fractional Kirchhoff wave equation with structural damping or strong damping. The well-posedness and the existence of global attractor in the natural energy space by virtue of the Faedo-Galerkin method and energy ...
Yang Wenhua, Zhou Jun
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Interior controllability of semi-linear degenerate wave equations
Journal of Mathematical Analysis and Applications, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Muming, Gao, Hang
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Inner boundary value problem with displacement for a second order mixed parabolic-hyperbolic equation [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This paper investigates inner boundary value problems with a shift for a second-order mixed-hyperbolic equation consisting of a wave operator in one part of the domain and a degenerate hyperbolic operator of the first kind in the other part.
Zh.A. Balkizov +2 more
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The problem with shift for a degenerate hyperbolic equation of the first kind [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 For a degenerate first-order hyperbolic equation of the second order containing a term with a lower derivative, we study two boundary value problems with an offset that generalize the well-known first and second Darboux problems. Theorems on an existence
Zhiraslan A. Balkizov
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Indirect Boundary Controllability of Coupled Degenerate Wave Equations
Acta Applicandae Mathematicae, 2023 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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Frontiers in Physics, 2021 Solitons are coherent structures that describe the nonlinear evolution of wave localizations in hydrodynamics, optics, plasma and Bose-Einstein condensates.
Amin Chabchoub +12 more
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Results in Physics, 2023 The modulational instability (MI) of Schamel/modified nonlinear Schrödinger equation (SNLSE) or (mNLSE) and the associated envelope excitations, including bright solitons in a multicomponent dense plasma consisting of relativistically degenerate ...
S.A. El-Tantawy +5 more
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