Mathematical Methods for Hydrodynamic Limits

Name: Mathematical Methods for Hydrodynamic Limits
Brand: Springer, Berlin
SKU: 9783540550044
Price: 139.45 RON
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Autor: Anna DeMasi, Errico Presutti

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Editura: Springer, Berlin

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Entropy inequalities, correlation functions, couplings§between stochastic processes are powerful tec...

Informații despre carte

Autor

Anna DeMasi, Errico Presutti

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

1992

Pagini

196

EAN

9783540550044

ISBN

3540550046

Enbook ID

05274232

Editura

Springer, Berlin

Greutate

322

Dimensiuni

155 x 239 x 17

Descriere completă

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-Olla-Varadhan super exponential§estimates, with reference to zero-range models. Discrete§velocity Boltzmann equations, reaction diffusion§equations and non linear parabolic equations are considered,§as limits of particles models. Phase separation phenomena§are discussed in the context of Glauber+Kawasaki evolutions§and reaction diffusion equations. Although the emphasis is§onthe mathematical aspects, the physical motivations are§explained through theanalysis of the single models, without§attempting, however to survey the entire subject of§hydrodynamical limits.

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Mathematical Methods for Hydrodynamic Limits

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