Results 31 to 40 of about 686 (96)
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
A survey on some vanishing viscosity limit results
Advances 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
A Ginzburg-Landau type energy with weight and with convex potential near zero
, 2020 In this paper, we study the asymptotic behaviour of minimizing solutions of a Ginzburg-Landau type functional with a positive weight and with convex potential near $0$ and we estimate the energy in this case.
Hadiji, Rejeb, Perugia, Carmen
core +3 more sources
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
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Analysis of a diffuse interface model of multispecies tumor growth [PDF]
, 2015 We consider a diffuse interface model for tumor growth recently proposed in [Y. Chen, S.M. Wise, V.B. Shenoy, J.S. Lowengrub, A stable scheme for a nonlinear, multiphase tumor growth model with an elastic membrane, Int. J. Numer. Methods Biomed. Eng., 30
Dai, Mimi +4 more
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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
Advanced Nonlinear Studies, 2021 We study the asymptotic profile, as ℏ→0{\hbar\rightarrow 0}, of positive solutions ...
Cassani Daniele, Wang Youjun
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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
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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
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
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