𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic analysis and coupling conditions for kinetic and hydrodynamic equations

✍ Scribed by A. Klar


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
595 KB
Volume
35
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis


This article is concerned with domain decomposition for kinetic and hydrodynamic equations. Coupling conditions at the interface between the equations are developed and investigated. In particular for nonequilibrium situations at the interface, new coupling conditions are developed by considering interface layers. This leads to kinetic half-space problems. A fast procedure to solve these problems is given.


πŸ“œ SIMILAR VOLUMES


Stochastic differential equations for th
✍ MirosΕ‚aw Lachowicz πŸ“‚ Article πŸ“… 1994 πŸ› Springer Netherlands 🌐 English βš– 352 KB

A finite system of stochastic interacting particles is considered. The system approximates the solutions of the kinetic equations (the Boltzmann equation, the Boltzmann-Enskog equation) as well as the solutions describing the macroscopic evolution of fluids: the Euler and the Navier-Stokes hydrodyna

Necessary and sufficient conditions of a
✍ L. Shaikhet πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 190 KB

Many processes in automatic regulation, physics, mechanics, biology, economy, ecology, etc. can be modelled by hereditary systems (see, e.g., [1][2][3][4]). One of the main problems for the theory of such systems and their applications is connected with stability (see, e.g., [2][3][4]). Many stabili

Asymptotic equations for the terminal ph
✍ Thierry Clopeau; Angiolo Farina; Antonio Fasano; Andro MikeliΔ‡ πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 533 KB

In this article, we study mathematical modeling of thermal drawing of glass fibers. We give a derivation of the effective model from the generalized Oberbeck-Boussinesq equations with free boundary, using singular perturbation expansion. We generalize earlier approaches by taking the isochoric compr