Results 21 to 30 of about 79 (79)

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

A survey on some vanishing viscosity limit results

open access: yesAdvances in Nonlinear Analysis, 2023
We present a survey concerning the convergence, as the viscosity goes to zero, of the solutions to the three-dimensional evolutionary Navier-Stokes equations to solutions of the Euler equations.
Beirão da Veiga Hugo, Crispo Francesca
doaj   +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

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

A Novel Numerical Algorithm for Singularly Perturbed Parabolic Problems With Discontinuous Convection Coefficient and Source Terms

open access: yesAdvances in Mathematical Physics
MSC2020 Classification: 35B25, 65M06 ...
Mousa J. Huntul, Imiru Takele Daba
doaj   +1 more source

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

The effect of the graph topology on the existence of multipeak solutions for nonlinear Schrödinger equations

open access: yes, 1998
Abstract and Applied Analysis, Volume 3, Issue 3-4, Page 293-318, 1998.
E. N. Dancer, K. Y. Lam, S. Yan
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

Asymptotic approximation for the solution to a semi-linear elliptic problem in a thin aneurysm-type domain

open access: yesOpen 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

Boundary layer analysis of nonlinear reaction-diffusion equations in a smooth domain

open access: yesAdvances in Nonlinear Analysis, 2017
In this article, we consider a singularly perturbed nonlinear reaction-diffusion equation whose solutions display thin boundary layers near the boundary of the domain.
Jung Chang-Yeol   +2 more
doaj   +1 more source

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