Covers scaling limits and modelling in equations of mathematical physics. This book covers basic concepts of the kinetic theory of gases which is not only important in its own right but also as a prototype of a mathematical construct central to the theory of non-equilibrium phenomena in large systems. Series: Oberwolfach Seminars. Num Pages: 194 pages, 2 black & white illustrations, biography. BIC Classification: PBKJ; PBT. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 10. Weight in Grams: 650. . 1998. Paperback. . . . . Books ship from the US and Ireland.

Bestandsnummer des Verk�ufers V9783764359850

Verk�ufer kontaktieren

Diesen Artikel melden

Bibliografische Details

Titel: Scaling Limits and Models in Physical Processes
Verlag: Birkhauser Verlag AG
Erscheinungsjahr: 1998
Sprache: Englisch
ISBN-10: 3764359854
ISBN-13: 9783764359850
Einband: Softcover
Zustand: New

�ber diesen Titel

Inhaltsangabe

The first part of this volume presents the basic ideas concerning perturbation and scaling methods in the mathematical theory of dilute gases, based on Boltzmann’s integro-differential equation. It is of course impossible to cover the developments of this subject in less than one hundred pages. Already in 1912 none less than David Hilbert indicated how to obtain approximate solutions of the scaled Boltzmann equation in the form of a perturbation of a parameter inversely proportional to the gas density. His paper is also reprinted as Chapter XXII of his treatise Grundzuge einer allgemeinen Theorie der linearen Integralgleichungen. The motive for this circumstance is clearly stated in the preface to that book ("Recently I have added, to conclude, a new chapter on the kinetic theory of gases. [ . . . ]. I recognize in the theory of gases the most splendid application of the theorems concerning integral equations. ") The mathematically rigorous theory started, however, in 1933 with a paper [48] by Tage Gillis Torsten Carleman, who proved a theorem of global exis� tence and uniqueness for a gas of hard spheres in the so-called space-homogeneous case. Many other results followed; those based on perturbation and scaling meth� ods will be dealt with in some detail. Here, I cannot refrain from mentioning that, when Pierre-Louis Lions obtained the Fields medal (1994), the commenda� tion quoted explicitly his work with the late Ronald DiPerna on the existence of solutions of the Boltzmann equation.

Cr�ticas

"...This is an excellent research monograph..."

--Zentralblatt Math

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Anbieterinformationen

We carry a comprehensive range of out of print and rare books.

Zur Homepage des Verk�ufers

Unternehmensdaten des Verk�ufers

Kennys Bookshops and Art Galleries Limited
Liosban Industrial Estate, Tuam Road, Galway, GY, Ireland

Gesch�ftsbedingungen und Versandinformationen

Verkaufsbedingungen

We guarantee the condition of every book as it's described on the Abebooks websites.

If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date.

For any queries please use the contact seller link or send an email to books@kennys.ie

Conor Kenny

Widerrufsbelehrung

Versandbedingungen

All books securely packaged. Some books ship from Ireland.

Versandkosten innerhalb von USA

Versandkosten innerhalb von USA
Bestellmenge	14 bis 20�Werktage	13 bis 14�Werktage
Erster Artikel	EUR 8.95	EUR 17.89

Die Versandzeiten werden von den Verk�uferinnen und Verk�ufern festgelegt. Sie variieren je nach Versanddienstleister und Standort. Sendungen, die den Zoll passieren, k�nnen Verz�gerungen unterliegen. Eventuell anfallende Abgaben oder Geb�hren sind von der K�uferin bzw. dem K�ufer zu tragen. Die Verk�uferin bzw. der Verk�ufer kann Sie bez�glich zus�tzlicher Versandkosten kontaktieren, um einen m�glichen Anstieg der Versandkosten f�r Ihre Artikel auszugleichen.