Mathematical Methods for Hydrodynamic Limits. 1st ed. 1991
- 種類:
- 電子ブック
- 責任表示:
- by Anna DeMasi, Errico Presutti
- 出版情報:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1991
- 著者名:
- シリーズ名:
- Lecture Notes in Mathematics ; 1501
- ISBN:
- 9783540466369 [3540466363]
- 注記:
- Hydrodynamic limits for independent particles -- Hydrodynamics of the zero range process -- Particle models for reaction-diffusion equations -- Particle models for the Carleman equation -- The Glauber+Kawasaki process -- Hydrodynamic limits in kinetic models -- Phase separation and interface dynamics -- Escape from an unstable equilibrium -- Estimates on the V-functions.
Entropy inequalities, correlation functions, couplings between stochastic processes are powerful techniques which have been extensively used to give arigorous foundation to the theory of complex, many component systems and to its many applications in a variety of fields as physics, biology, population dynamics, economics, ... The purpose of the book is to make theseand other mathematical methods accessible to readers with a limited background in probability and physics by examining in detail a few models where the techniques emerge clearly, while extra difficulties arekept to a minimum. Lanford's method and its extension to the hierarchy of equations for the truncated correlation functions, the v-functions, are presented and applied to prove the validity of macroscopic equations forstochastic particle systems which are perturbations of the independent and of the symmetric simple exclusion processes. Entropy inequalities are discussed in the frame of the Guo-Papanicolaou-Varadhan technique and of theKipnis-Oll - ローカル注記:
- 岐阜大学構成員専用E-BOOKS (Gifu University members only)
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