Results 41 to 50 of about 5,496 (165)

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, Christianson, Hans, Metcalfe, Jason, Perry, Jacob   +3 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, Hongqing Jing, Min Li, Zhenjun Ye, Yuqin Yao   +4 more
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Traveling Wave Solutions of Degenerate Coupled KdV Equation

, 2013
We give a detailed study of the traveling wave solutions of $(\ell=2)$ Kaup-Boussinesq type of coupled KdV equations. Depending upon the zeros of a fourth degree polynomial, we have cases where there exist no nontrivial real solutions, cases where asymptotically decaying to a constant solitary wave solutions, and cases where there are periodic ...
Gurses, M., Pekcan, A.
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Stability for Degenerate Wave Equations with Drift Under Simultaneous Degenerate Damping

Journal of Differential Equations
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, Ibtissam Issa   +2 more
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Travelling wave solutions for doubly degenerate reaction-diffusion equations [PDF]

ANZIAM Journal, 2010
AbstractThis paper concerns a nonlinear doubly degenerate reaction–diffusion equation which appears in a bacterial growth model and is also of considerable mathematical interest. A travelling wave analysis for the equation is carried out. In particular, the qualitative behaviour of both sharp and smooth travelling wave solutions is analysed.
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The Nonlinear Magnetosonic Waves in Magnetized Dense Plasma for Quantum Effects of Degenerate Electrons

East European Journal of Physics, 2021
The nonlinear magnetosonic solitons are investigated in magnetized dense plasma for quantum effects of degenerate electrons in this research work.
Neelam Rani, Manikant Yadav
doaj  

Global existence of the two-dimensional axisymmetric Euler equations for the Chaplygin gas with large angular velocities

Advanced Nonlinear Studies, 2022
The Chaplygin gas model is both interesting and important in the theory of gas dynamics and conservation laws, all the characteristic families of which are linearly degenerate. Majda conjectured that the shock formation never happens for smooth data.
Wei Dongyi, Zhang Zhifei, Zhao Wenbin
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Wave interactions for a nonlinear degenerate wave equations

Indian Journal of Pure and Applied Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the existence and coercive estimates of solutions to the Dirichlet problem for a class of third-order differential equations

Қарағанды университетінің хабаршысы. Математика сериясы
As you know, the third order partial differential equation is one of the basic equations of wave theory. For example, in particular, a linearized Korteweg-de Vries type equation with variable coefficients models ion-acoustic waves into plasma and ...
А.О. Сулеймбекова, Б.М. Мусилимов   +1 more
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On a modified Korteweg–de Vries equation for electrostatic structures in relativistic degenerate electron–positron plasma

Results in Physics, 2023
In this paper, the propagation of acoustic solitons in an electron–positron (e–p) degenerate plasma with the relativistically degenerate electrons and positrons is studied.
Alireza Abdikian, Behzad Ghanbari
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