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In this talk, we first briefly review history of the geometric singular perturbation theory, then talk about the traveling pulses for a diffusive Rosenzweig MacArthur model. We show the existence of t...
We study a mechanical model known as Galton board { a particle rolling on a tilted plane under gravitation and bouncing o a periodic array of rigid obstacles (pegs). This model is also identical to...
In this paper we study existence of Normally Hyperbolic Invariant Laminations (NHIL) for a nearly integrable system given by the product of the pendulum and the rotator perturbed with a small coupling...
Random Iteration of Maps on a Cylinder and diffusive behavior.
We prove global regularity of solutions of Oldroyd-B equations in 2 spatial dimensions with spatial di usion of the polymeric stresses.
A numerical analysis has been carried out to study the problem of plane stagnation double-diffusive MHD convective flow with convective boundary condition in a porous media. The governing nonlinear pa...
We define a new diffusive matrix model converging towards the $\beta$-Dyson Brownian motion for all $\beta\in [0,2]$ that provides an explicit construction of $\beta$-ensembles of random matrices that...
Abstract: We study a class of processes that are akin to the Wright-Fisher model, with transition probabilities weighted in terms of the frequency-dependent fitness of the population types. Following ...
e consider a model describing the behavior of a mixture of two incompressible fluids with the same density in isothermal conditions. The model consists of three balance equations: continuity equation,...
Q-conditional symmetries of the classical Lotka-Volterra system in the case of one space variable are completely described and a set of such symmetries in explicit form is constructed. The relevant no...
We study the diffusive behavior for a quantum test particle interacting with a dilute background gas. The model we begin with is a reduced picture for the test particle dynamics given by a quantum lin...
The problems considered in the present paper have their roots in two different cultures. The ‘true’ (or myopic) self-avoiding walk model (TSAW) was introduced in the physics literature by Amit, Parisi...
We establish the global existence of L1 solutions for a model of polytropic gas ow with di usive entropy. The result is obtained by showing the convergence of a class of nite di erence schemes, whic...
The present work analyzes the influence of a first-order homgeneous chemical reaction and thermal radiation on hydromagnetic free convection heat and mass transfer for a viscous fluid past a semi-infi...
In this paper we further explore and apply our recent anti-diffusive flux corrected high order finite difference WENO schemes for conservation laws \cite{ZS} to compute the Saint-Venant system of s...

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