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This article is devoted to the asymptotic analysis of a system of coupled kinetic and fluid equations, namely the Vlasov-Fokker-Planck equation and a compressible Navier-Stokes equation. Such a system...
termined by the coincidence of a subcritical Hopf bifurcation with a homoclinic orbit of the Hopf equilibrium. Our work is motivated by our previous analysis of a Hodgkin-Huxley neuron model which p...
Asymptotic Analysis of a Random Walk on a Hypercube with Many Dimensions
Sequential and Quantum Monte Carlo methods, as well as genetic type search algorithms can be interpreted as a mean field and interacting particle approximations of Feynman-Kac models in distribution s...
Abstract: We study a diffusion model of phase field type, which consists of a system of two partial differential equations involving as variables the thermal displacement, that is basically the time i...
Abstract: In this article we obtain asymptotic formulas, uniform with respect to t\in[0,2{\pi}), for eigenvalues and eigenfunctions of the Sturm-Liouville operators L_{t}(q) with potential q\inL_{1}[0...
Asymptotic Analysis and Synthesis in Mechanics of Solids and Nonlinear Dynamics.
The consolidation of colloidal particles in drying colloidal dispersions is in-uenced by various factors such as particle size and shape, and inter-particle potential. The capillary pressure induced b...
This is a tutorial on some basic non-asymptotic methods and concepts in random matrix theory. The reader will learn several tools for the analysis of the extreme singular values of random matrices wi...
We study exact and asymptotic enumerative aspects of the Hilbert series of the cohomology ring of the moduli space of stable pointed curves of genus zero. This manifold is related to the WDVV (Witten...
Diversity–multiplexing tradeoff (DMT) was characterized asymptotically (SNR-> infinity) for i.i.d. Rayleigh fading channel by Zheng and Tse [1].
Based on a Riemann theta function and the super-Hirota bilinear form, we propose a key formula for explicitly constructing quasi-periodic wave solutions of the supersymmetric Ito's equation in supersp...
This work concern an extension of the asymptotic compensation problem in hyperbolic systems. We introduce and characterize the notion of asymptotic remediability, which consists to compensate asymptot...
An asymptotic analysis is carried out of a linear and a nonlinear transport model of the large-scale wind-driven ocean circulation in the subtropical region of the Atlantic and Indian Oceans. The comp...
A phase-field model based on the Gurtin-Pipkin heat flux law is considered. The resulting system has been investigated by Colli and Laurencot who proved existence and uniqueness results, when the time...

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