Results 61 to 70 of about 5,496 (165)

Standing wave solutions of a quasilinear degenerate Schrödinger equation with unbounded potential

Electronic Journal of Qualitative Theory of Differential Equations, 2016
We are concerned with the existence of entire distributional nontrivial solutions for a new class of nonlinear partial differential equations. The differential operator was introduced by A. Azzolini et al.
Nejmeddine Chorfi, Vicenţiu Rădulescu
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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, Ruvo, Lorenzo di, Malaguti, Luisa, Rosini, Massimiliano D.   +3 more
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Theoretical and numerical analysis of a degenerate nonlinear cubic Schrödinger equation

Moroccan Journal of Pure and Applied Analysis, 2022
In this paper, we are interested in some theoretical and numerical studies of a special case of a degenerate nonlinear Schrödinger equation namely the so-called Gross-Pitaevskii Equation(GPE).
Alahyane Mohamed, Chrifi Abderrazak, Echarroudi Younes   +2 more
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NONLINEARLY DEGENERATE WAVE EQUATION Vtt = c(lv1s-1v)xx

Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales, 2023
It is well known that the generalized solutions for the Cauchy problem (1.4)-(1.5) are also the solutions of the nonlinearly degenerate wave equation Vtt = c(lvls-1v)xx with the initial data v0(x). In this paper, we first study the strong and weak entropies of system (1.4), then the H-1 compactness of  η( vɛ, uɛ)t + q( vɛ, uɛ)x of these entropy-entropy
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Numerical treatment for some abstract degenerate second-order evolutionary problem

Results in Applied Mathematics
This paper addresses the numerical analysis of a class of a degenerate second-order evolution equations. We employ a finite element method for spatial discretization and a family of implicit finite difference schemes for time discretization.
Ramiro Acevedo, Christian Gómez, Paulo Navia   +2 more
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RATE EQUATION THEORY OF DEGENERATE FOUR WAVE MIXING

Acta Physica Sinica, 1988
Degenerate four wave mixing is treated using the quantum theory of fradiation. Starting from the energy conservation and momentum conservation laws and using the transition rate-formula for quantum states, the equation of motion for photon number densities of four beams is derived and exact solutions are obtained.
null DING HONG-YU, null WU BAI-SHI, null YIN DA-JUN, null LI JIN-QUAN   +3 more
openaire   +1 more source

Energy decay for degenerate Kirchhoff equations with weakly nonlinear dissipation

Electronic Journal of Differential Equations, 2013
In this article we consider a degenerate Kirchhoff equation wave equation with a weak frictional damping, $$ (|u_t|^{l-2}u_t)_t-\Big( \int_{\Omega }|\nabla _x u|^{2}\,dx\Big)^{\gamma } \Delta _xu+\alpha (t)g(u_t)=0.
Mama Abdelli, Salim A. Messaoudi
doaj  

Travelling wave solutions of the degenerate Kolmogorov–Petrovski–Piskunov equation

European Journal of Applied Mathematics, 2003
The authors study the asymptotic behaviour of solutions of the initial value problem for a degenerate parabolic equation \[ {\partial u\over\partial t}={\partial^2\over \partial x^2} \varphi(u)+ \psi(u) \] in \(\{(x,t)\mid x\in\mathbb{R},\;0\leq ...
Medvedev, G. S., Ono, K., Holmes, P. J.
openaire   +1 more source

Decay of solutions of a degenerate hyperbolic equation

Electronic Journal of Differential Equations, 1998
This article studies the asymptotic behavior of solutions to the damped, non-linear wave equation $$ ddot u +gamma dot u -m(|abla u|^2)Delta u = f(x,t),, $$ which is known as degenerate if the greatest lower bound for $m$ is zero, and non-degenerate if ...
Julio G. Dix
doaj  

Degenerate Drifted Wave Equations in Nondivergence Form: Nonlinear Stabilization

Journal of Optimization Theory and Applications
Abstract We study the stabilization of degenerate 1-D wave equations in non divergence form with drift. The degeneracy takes place in one boundary point and the stabilization is obtained by a nonlinear damping in the nondegeneracy one.
Fragnelli, Genni, Mugnai, Dimitri
openaire   +1 more source