|
Showing 1 - 4 of
4 matches in All Departments
2 The authors of these issues involve not only mathematicians, but
also speci alists in (mathematical) physics and computer sciences.
So here the reader will find different points of view and
approaches to the considered field. A. M. VINOGRADOV 3 Acta
Applicandae Mathematicae 15: 3-21, 1989. (c) 1989 Kluwer Academic
Publishers. Symmetries and Conservation Laws of Partial
Differential Equations: Basic Notions and Results A. M. VINOORADOV
Department of Mathematics, Moscow State University, 117234, Moscow,
U. S. S. R. (Received: 22 August 1988) Abstract. The main notions
and results which are necessary for finding higher symmetries and
conservation laws for general systems of partial differential
equations are given. These constitute the starting point for the
subsequent papers of this volume. Some problems are also discussed.
AMS subject classifications (1980). 35A30, 58005, 58035, 58H05. Key
words. Higher symmetries, conservation laws, partial differential
equations, infinitely prolonged equations, generating functions. o.
Introduction In this paper we present the basic notions and results
from the general theory of local symmetries and conservation laws
of partial differential equations. More exactly, we will focus our
attention on the main conceptual points as well as on the problem
of how to find all higher symmetries and conservation laws for a
given system of partial differential equations. Also, some general
views and perspectives will be discussed.
Since the early work of Gauss and Riemann, differential geometry
has grown into a vast network of ideas and approaches, encompassing
local considerations such as differential invariants and jets as
well as global ideas, such as Morse theory and characteristic
classes. In this volume of the Encyclopaedia, the authors give a
tour of the principal areas and methods of modern differential
geomerty. The book is structured so that the reader may choose
parts of the text to read and still take away a completed picture
of some area of differential geometry. Beginning at the
introductory level with curves in Euclidian space, the sections
become more challenging, arriving finally at the advanced topics
which form the greatest part of the book: transformation groups,
the geometry of differential equations, geometric structures, the
equivalence problem, the geometry of elliptic operators. Several of
the topics are approaches which are now enjoying a resurgence, e.g.
G-structures and contact geometry. As an overview of the major
current methods of differential geometry, EMS 28 is a map of these
different ideas which explains the interesting points at every
stop. The authors' intention is that the reader should gain a new
understanding of geometry from the process of reading this survey.
Since the early work of Gauss and Riemann, differential geometry
has grown into a vast network of ideas and approaches, encompassing
local considerations such as differential invariants and jets as
well as global ideas, such as Morse theory and characteristic
classes. In this volume of the Encyclopaedia, the authors give a
tour of the principal areas and methods of modern differential
geomerty. The book is structured so that the reader may choose
parts of the text to read and still take away a completed picture
of some area of differential geometry. Beginning at the
introductory level with curves in Euclidian space, the sections
become more challenging, arriving finally at the advanced topics
which form the greatest part of the book: transformation groups,
the geometry of differential equations, geometric structures, the
equivalence problem, the geometry of elliptic operators. Several of
the topics are approaches which are now enjoying a resurgence, e.g.
G-structures and contact geometry. As an overview of the major
current methods of differential geometry, EMS 28 is a map of these
different ideas which explains the interesting points at every
stop. The authors' intention is that the reader should gain a new
understanding of geometry from the process of reading this survey.
2 The authors of these issues involve not only mathematicians, but
also speci alists in (mathematical) physics and computer sciences.
So here the reader will find different points of view and
approaches to the considered field. A. M. VINOGRADOV 3 Acta
Applicandae Mathematicae 15: 3-21, 1989. (c) 1989 Kluwer Academic
Publishers. Symmetries and Conservation Laws of Partial
Differential Equations: Basic Notions and Results A. M. VINOORADOV
Department of Mathematics, Moscow State University, 117234, Moscow,
U. S. S. R. (Received: 22 August 1988) Abstract. The main notions
and results which are necessary for finding higher symmetries and
conservation laws for general systems of partial differential
equations are given. These constitute the starting point for the
subsequent papers of this volume. Some problems are also discussed.
AMS subject classifications (1980). 35A30, 58005, 58035, 58H05. Key
words. Higher symmetries, conservation laws, partial differential
equations, infinitely prolonged equations, generating functions. o.
Introduction In this paper we present the basic notions and results
from the general theory of local symmetries and conservation laws
of partial differential equations. More exactly, we will focus our
attention on the main conceptual points as well as on the problem
of how to find all higher symmetries and conservation laws for a
given system of partial differential equations. Also, some general
views and perspectives will be discussed."
|
You may like...
Morgan
Kate Mara, Jennifer Jason Leigh, …
Blu-ray disc
(1)
R70
Discovery Miles 700
|