Results 41 to 50 of about 6,537 (288)
Journal of Optimization, Differential Equations and Their Applications, 2021 In this paper we discuss the problem of boundary exact null controllability for weakly and strongly degenerate linear wave equation defined on star-shaped planar network. The network is represented by a singular measure in a bounded planar domain.
Peter I. Kogut +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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Nucleus-Acoustic Solitary Waves in Warm Degenerate Magneto-Rotating Quantum Plasmas
Fluids, 2022 A warm degenerate magneto-rotating quantum plasma (WDMRQP) model consisting of a static heavy nucleus, inertial non-degenerate light nucleus, and warm non-relativistic or ultra-relativistic electrons has been considered to observe the generation of ...
Jhorna Akter, A A Mamun
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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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Novel Exact Solution for the Bidirectional Sixth-Order Sawada–Kotera Equation
Universe, 2023 In this paper, we take the bidirectional sixth-order Sawada–Kotera equation as an instance and use a new limit approach to generate a multiple-pole solution and the degenerate of the breather wave from the N-order soliton solution.
Hongcai Ma, Xiaoyu Chen, Aiping Deng
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Explicit solutions of Cauchy problems for degenerate hyperbolic equations with Transmutations methods [PDF]
Mathematics and Modeling in Finance, 2022 This article's primary goal is to compute an explicit transmutation-based solution to a degenerate hyperbolic equation of second order in terms of time.
Mahdieh Aminian Shahrokhabadi +1 more
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Traveling waves for degenerate diffusive equations on networks
Networks & Heterogeneous Media, 2017 In this paper we consider a scalar parabolic equation on a star graph; the model is quite general but what we have in mind is the description of traffic flows at a crossroad. In particular, we do not necessarily require the continuity of the unknown function at the node of the graph and, moreover, the diffusivity can be degenerate.
Corli, Andrea +3 more
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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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A non-linear degenerate equation for direct aggregation and traveling wave dynamics
, 2010 The gregarious behavior of individuals of populations is an important factor in avoiding predators or for reproduction. Here, by using a random biased walk approach, we build a model which, after a transformation, takes the general form [u_{t}=[D(u)u_{x}]
Maini, P. K. +8 more
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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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