Results 31 to 40 of about 700 (91)

On the Fractional NLS Equation and the Effects of the Potential Well’s Topology

open access: yesAdvanced Nonlinear Studies, 2021
In this paper we consider the fractional nonlinear Schrödinger ...
Cingolani Silvia, Gallo Marco
doaj   +1 more source

A note on permeability for a network of thin channels [PDF]

open access: yes, 2004
We study a viscous flow through a periodic network of thin channels with small period and small thickness . We consider two cases limε --> 0 (limδ --> 0) and limδ --> 0 (limε --> 0). In both cases the limit (homogenized) problem is the Darcy law with the
Sanja Marušić
core   +2 more sources

A parabolic differential equation with unbounded piecewise constant delay

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 2, Page 339-346, 1992., 1991
A partial differential equation with the argument [λt] is studied, where [•] denotes the greatest integer function. The infinite delay t − [λt] leads to difference equations of unbounded order.
Joseph Wiener, Lokenath Debnath
wiley   +1 more source

Characterizing the strange term in critical size homogenization: Quasilinear equations with a general microscopic boundary condition

open access: yesAdvances in Nonlinear Analysis, 2017
The aim of this paper is to consider the asymptotic behavior of boundary value problems in n-dimensional domains with periodically placed particles, with a general microscopic boundary condition on the particles and a p-Laplace diffusion operator on the ...
Díaz Jesus Ildefonso   +3 more
doaj   +1 more source

Blow-Up Phenomena and Asymptotic Profiles Passing from H1-Critical to Super-Critical Quasilinear Schrödinger Equations

open access: yesAdvanced Nonlinear Studies, 2021
We study the asymptotic profile, as ℏ→0{\hbar\rightarrow 0}, of positive solutions ...
Cassani Daniele, Wang Youjun
doaj   +1 more source

Travelling waves in two-dimensional plane Poiseuille flow [PDF]

open access: yes, 2015
The asymptotic structure of laminar modulated travelling waves in two-dimensional high-Reynolds-number plane Poiseuille flow is investigated on the upper-energy branch.
Smith, WR, Wissink, JG
core   +2 more sources

Boundary value problems for partial differential equations with piecewise contant delay

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 2, Page 363-379, 1991., 1991
The influence of certain discontinuous delays on the behavior of solutions to some typical equations of mathematical physics is studied.
Joseph Wiener
wiley   +1 more source

Time-dependent attractor of wave equations with nonlinear damping and linear memory

open access: yesOpen Mathematics, 2019
In this article, we consider the long-time behavior of solutions for the wave equation with nonlinear damping and linear memory. Within the theory of process on time-dependent spaces, we verify the process is asymptotically compact by using the ...
Ma Qiaozhen, Wang Jing, Liu Tingting
doaj   +1 more source

Competition and boundary formation in heterogeneous media: Application to neuronal differentiation [PDF]

open access: yes, 2014
We analyze an inhomogeneous system of coupled reaction-diffusion equations representing the dynamics of gene expression during differentiation of nerve cells. The outcome of this developmental phase is the formation of distinct functional areas separated
Perthame, Benoit   +2 more
core   +6 more sources

Partial differential equations with piecewise constant delay

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 485-496, 1991., 1990
The influence of certain discontinuous delays on the behavior of solutions to partial differential equations is studied. In Section 2, the initial value problems (IVP) are discussed for differential equations with piecewise constant argument (EPCA) in partial derivatives.
Joseph Wiener, Lokenath Debnath
wiley   +1 more source

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