Results 11 to 20 of about 6,111 (258)
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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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.
Guang Zhang, Shugen Chai
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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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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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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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Null controllability of some degenerate wave equations [PDF]
Journal of Systems Science and Complexity, 2016 14 pages, 1 ...
Muming Zhang, Hang Gao 0001
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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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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.
Idriss Boutaayamou +2 more
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Nonlinear Ion-Acoustic Waves in Degenerate Plasma with Landau Quantized Trapped Electrons
Frontiers in Physics, 2021 The formation of nonlinear ion-acoustic waves is studied in a degenerate magnetoplasma accounting for quantized and trapped electrons. Relying on the reductive perturbation technique, a three-dimensional Zakharov–Kuznetsov (ZK) equation is derived ...
R. Jahangir, S. Ali
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Nonlinear Wave Equations With Degenerate Damping and Source Terms [PDF]
Transactions of the American Mathematical Society, 2005 In this article we focus on the global well-posedness of the differential equation u t
Barbu, Viorel +2 more
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