We perform numerical study on a domain decomposition method proposed in [13] for the linear transport equation between a diffusive and a non-diffusive region. This method avoids iterating the diffusion and transport solutions as in a typical domain decomposition method. Our numerical results, in both one and two space dimensions, confirm the theoretical analysis of [13]. We also provide an impr...

Chaos synchronization in coupled chaotic oscillator systems with diffusive and gradient couplings forced by only one local feedback injection signal (boundary pinning control) is studied. By using eigenvalue analysis, we obtain controllable regions directly in control parameter space for different types of coupling links (including diagonal coupling and nondiagonal couplings). The effects of bo...

We investigate the behavior of a system composed of two small identical water droplets loaded with an activator-inhibitor system possessing only a single stable steady state and coupled through a third, ‘‘signaling’’ species able to diffuse through the interdroplet medium. Depending on whether the third species is coupled to the activator or the inhibitor, the system can exhibit wave instabilit...

We study the diffusive expansion for solutions around Maxwellian equilibrium and in a periodic box to the Vlasov-Maxwell-Boltzmann system, the most fundamental model for an ensemble of charged particles. Such an expansion yields a set of dissipative new macroscopic PDE’s, the incompressible Vlasov-Navier-Stokes-Fourier system and its higher order corrections for describing a charged fluid, wher...

We study the problem of spin diffusion in magnetic systems without longrange order. We discuss the example of the 1D spin chain. For the system described by the Heisenberg Hamiltonian we show that there are no diffusive excitations. However, the addition of an arbitrarily small dissipation term, such as the spin-phonon interaction leads to diffusive excitations in the long time limit. For those...

Global gyrokinetic particle simulation of collisionless trapped electron mode turbulence in toroidal plasmas finds both diffusive and convective electron motion using a Lagrangian analysis. The convective motion is identified using simulation and analytic theory to arise from the conservation of the second invariant when resonant trapped electrons lose kinetic energy to the drift wave. A resona...

............................................................................................................................ vi LIST OF FIGURES .................................................................................................................. x LIST OF ABBREVIATIONS/SYMBOLS ............................................................................. xv CHAPTER 1: INTRODUCTION ....

We investigate the effects of noise on controlled-source interferometry by multi-dimensional deconvolution (MDD) for diffusive electromagnetic (EM) fields and for seismic wavefields. An electromagnetic and a seismic dataset are modeled and decomposed into upand downwards decaying and upand downgoing fields, respectively. From the decomposed fields a reflection response can be retrieved using le...

The two numerical models applied in this paper are based on a time-splitting approach, where a prediction and a correction problem are sequentially solved. For both the numerical procedures, it has been shown that the prediction and the correction steps have the characteristics of a convective and a diffusive problem, respectively [2–5]. For these reasons, we call the prediction system "convect...