Results 11 to 20 of about 6,537 (288)
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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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.
Genni Fragnelli, Dimitri Mugnai
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Stability for degenerate wave equations with drift under simultaneous degenerate damping [PDF]
Journal of Differential Equations, 2023 In 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, Genni Fragnelli
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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 $μ_a>0$. 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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The Initial Value Problem for a Degenerate Wave Equation [PDF]
Proceedings of the American Mathematical Society, 1988 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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Existence and Asymptotic Behavior of Traveling Wave Fronts for a Time-Delayed Degenerate Diffusion Equation [PDF]
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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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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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, Jawad Salhi
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Isolated periodic wave trains in a generalized Burgers–Huxley equation [PDF]
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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Traveling wave solutions of degenerate coupled multi-KdV equations [PDF]
Journal of Mathematical Physics, 2016 Traveling wave solutions of degenerate coupled ℓ-KdV equations are studied. Due to symmetry reduction these equations reduce to one ordinary differential equation (ODE), i.e., (f′)2 = Pn(f) where Pn(f) is a polynomial function of f of degree n = ℓ + 2, where ℓ ≥ 3 in this work. Here ℓ is the number of coupled fields.
G�rses M., Pekcan A.
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