000			02081nam a22002177a 4500
003			OSt
005			20240829160225.0
008			191213b ||||| |||| 00| 0 eng d
020			_a9783540550044
040			_cTata Book House _aICTS-TIFR
050			_aQA 3
100			_aDe Masi, Anna
245			_aMathematical methods for hydrodynamic limits
260			_aNew York: _bSpringer, _c[c1991]
300			_a196 p
490			_aLecture Notes in Mathematics _v1501
500			_aCh 1- Introduction Ch 2- Hydrodynamic limits for independent particles Ch 3- Hydrodynamics of the zero range process Ch 4- Particle models for reaction-diffusion equations Ch 5- Particle models for the Carleman equation Ch 6- The Glauber+Kawasaki process Ch 7- Hydrodynamic limits in kinetic models Ch 8- Phase separation and interface dynamics Ch 9- Escape from an unstable equilibrium Ch 10- Estimates on the V-functions
505			_aEntropy 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.
700			_aPresutti, Errico
942			_2lcc _cBK
999			_c2949 _d2949