28 citations · 69 across the 10 of their papers we have counts for
10 papers
A surprising regularizing effect of the nonlinear semigroup associated to the semilinear heat equation and applications to reaction diffusion systems
Said Kouachi
In this paper we prove that positive weak solutions for quasilinear parabolic equations on bounded domains subject to homogenous Neumann boundary conditions becme classical and glo…
Global existence for reaction diffusion systems with strict balance Law and nonlinearities with non constant-sign and unlimited polynomial growth
Said Kouachi
The purpose of this paper is to prove global existence of solutions for general systems of reaction diffusion equations with nonlinearities for which only two main proprieties hold…
Global Existence of solutions for systems of coupled reaction diffusion equations with nonlinearities of unlimited growth
Said Kouachi
In this work we prove global existence and uniform boundedness of solutions of 2X2 reaction-diffusion systems with control of mass structure and nonlinearities of unlimited growth.…
Global existence for coupled reaction-diffusion equations with a balance law and nonlinearities with non-constant sign
Said Kouachi
This paper aims to prove the global existence of solutions for coupled reaction diffusion equations with a balance Law and nonlinearities with a non constant sign. The case when on…
Convergence Rate Analysis for Periodic Gossip Algorithms in Wireless Sensor Networks
S. Kouachi, Sateeshkrishna Dhuli, Y. N. Singh
Periodic gossip algorithms have generated a lot of interest due to their ability to compute the global statistics by using local pairwise communications among nodes. Simple executi…
Topology, edge states, and zero-energy states of ultracold atoms in 1D optical superlattices with alternating onsite potentials or hopping coefficients
Yan He, Kevin Wright, Said Kouachi +1
One-dimensional superlattices with periodic spatial modulations of onsite potentials or tunneling coefficients can exhibit a variety of properties associated with topology or symme…
The Cauchy interlace theorem for symmetrizable matrices
Said Kouachi
Symmetrizable matrices are those which are symmetric when multiplied by a diagonal matrix with positive entries. The Cauchy interlace theorem states that the eigenvalues of a real…
Global Existence and Long time dynamics of a four compartment Brusselator Type system
Rana D. Parshad, Said Kouachi, Nitu Kumari
In this work we consider a four compartment Brusselator system. The reaction terms of this system are of non constant sign, thus components of the solution are not bounded apriori,…
Global existence for a strongly coupled reaction diffusion system
Said Kouachi, Kamuela E. Yong, Rana D. Parshad
In this work we use functional methods to prove the boundedness and global existence of solutions for a class of strongly coupled parabolic systems. We apply the results to deduce…
A remark on "Study of a Leslie-Gower-type tritrophic population model" [Chaos, Solitons and Fractals 14 (2002) 1275-1293]
Rana D. Parshad, Nitu Kumari, Said Kouachi
In [Aziz-Alaoui, 2002] a three species ODE model, based on a modified Leslie-Gower scheme is investigated. It is shown that under certain restrictions on the parameter space, the m…