INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9780817643027 (acid-free paper)
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-53508
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Free energy and self-interacting particles
General Material Designation
[Book]
First Statement of Responsibility
/ Takashi Suzuki
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boston
Name of Publisher, Distributor, etc.
: Birkhauser,
Date of Publication, Distribution, etc.
, c2005.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xiii, 366 p. , ill. , 25 cm.
SERIES
Series Title
(Progress in nonlinear differential equations and their applications
Volume Designation
; v. 62)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. [345]-359) and index.
CONTENTS NOTE
Text of Note
"This book examines a nonlinear system of parabolic partial differential equations (PDEs) arising in mathematical biology and statistical mechanics. This book describes the whole picture, i.e., the mathematical and physical principles: derivation of a series of equations, biological modeling based on biased random walks, the study of equilibrium states via the variational structure derived from the free energy, and the quantized blowup mechanism based on several PDE techniques." "Free Energy and Self-Interacting Particles is suitable for researchers and graduate students of mathematics and applied mathematics who are interested in nonlinear PDEs in stochastic processes, cellular automata, variational methods, and their applications to natural sciences. It is also suitable for researchers in other fields such as physics, chemistry, biology, and engineering."--BOOK JACKET.
Text of Note
1. Summary -- 2. Background -- 3. Fundamental theorem -- 4. Trudinger-Moser inequality -- 5. Green's function -- 6. Equilibrium states -- 7. Blowup analysis for stationary solutions -- 8. Multiple existence -- 9. Dynamical equivalence -- 10. Formation of collapses -- 11. Finiteness of blowup points -- 12. Concentration lemma -- 13. Weak solution -- 14. Hyperparabolicity -- 15. Quantized blowup mechanism -- 16. Theory of dual variation.
TOPICAL NAME USED AS SUBJECT
Differential equations, Parabolic
Differential equations, Partial
Lattice dynamics
Geometry, Differential
Biomathematics
Statistical mechanics
Chemical kinetics
Electronic books. , local
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Suzuki, Takashi, 1953-
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9780817643027.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9780817643027.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
