Results 31 to 40 of about 658 (73)
Partial differential equations with piecewise constant delay
International 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
Advances 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
Advanced 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
On the Fractional NLS Equation and the Effects of the Potential Well’s Topology
Advanced Nonlinear Studies, 2021 In this paper we consider the fractional nonlinear Schrödinger ...
Cingolani Silvia, Gallo Marco
doaj +1 more source
The NLS equation in dimension one with spatially concentrated nonlinearities: the pointlike limit
, 2014 In the present paper we study the following scaled nonlinear Schr\"odinger equation (NLS) in one space dimension: \[ i\frac{d}{dt} \psi^{\varepsilon}(t) =-\Delta\psi^{\varepsilon}(t) + \frac{1}{\epsilon}V\left(\frac{x}{\epsilon}\right)|\psi^{\varepsilon}(
Cacciapuoti, C. +3 more
core +1 more source
Competition and boundary formation in heterogeneous media: Application to neuronal differentiation [PDF]
, 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
Time-dependent attractor of wave equations with nonlinear damping and linear memory
Open 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
Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway [PDF]
, 2015 Kinetic-transport equations are, by now, standard models to describe the dynamics of populations of bacteria moving by run-and-tumble. Experimental observations show that bacteria increase their run duration when encountering an increasing gradient of ...
Perthame, Benoît +2 more
core +4 more sources
Travelling waves in two-dimensional plane Poiseuille flow [PDF]
, 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
Open Mathematics, 2017 A semi-linear boundary-value problem with nonlinear Robin boundary conditions is considered in a thin 3D aneurysm-type domain that consists of thin curvilinear cylinders that are joined through an aneurysm of diameter 𝓞(ε). Using the multi-scale analysis,
Mel’nyk Taras A. +1 more
doaj +1 more source