The goal of these lectures4 was to present some applications of global analysis to physical problems, specifically to hydrodynamics and general relativity. Parts I and II form a unit. Only a small amount of material from Part I is needed in Part III-an acquaintance with the rudiments of the diffeomorphism groups. The sort of global analysis used in hydrodynamics is developed in Part I. The machinery needed in relativity-infinite dimensional Hamiltonian systems-is developed as it is used. This organization should make it possible for one to read Part III separately if desired. Because of inevitable time restrictions, it was necessary to make some selection with regard to the topics and their depth of discussion. Tnere was an effort made t...
We describe some recent results for a class of nonlinear hydrodynamical approximation models where t...
The book's principal aim is to clarify fundamental concepts, decipher mathematical structures used t...
‘Gravity, a Geometrical Course’ presents general relativity (GR) in a systematic and exhaustive way,...
These notes are based on a series of ten lectures given at Carleton University, Ottawa, from June 21...
An outline of recent applications of modern infinite-dimensional manifold techniques to general rela...
A graduate level text on a subject which brings together several areas of mathematics and physics: p...
Geometric Hydrodynamics has flourished ever since the celebrated 1966 paper of V. Arnold. In this pa...
International audienceIt is well-known that some PDEs of hydrodynamical like KdV, CH, DP, HS, CLM, ....
We introduce a large class of systems of partial differential equations on a base manifold M, a clas...
We revisit the geodesic approach to ideal hydrodynamics and present a related geometric framework fo...
Relativistic hydrodynamics is a very successful theoretical framework to describe the dynamics of ma...
This lecture provides some introduction to perfect fluid dynamics within the framework of general re...
This book consists of two lecture notes on geometric flow equations (O. Schnürer) and Lorentzian geo...
This book is a text on classical general relativity from a geometrical viewpoint. Introductory chapt...
"The book aims to give a mathematical presentation of the theory of general relativity (that is, spa...
We describe some recent results for a class of nonlinear hydrodynamical approximation models where t...
The book's principal aim is to clarify fundamental concepts, decipher mathematical structures used t...
‘Gravity, a Geometrical Course’ presents general relativity (GR) in a systematic and exhaustive way,...
These notes are based on a series of ten lectures given at Carleton University, Ottawa, from June 21...
An outline of recent applications of modern infinite-dimensional manifold techniques to general rela...
A graduate level text on a subject which brings together several areas of mathematics and physics: p...
Geometric Hydrodynamics has flourished ever since the celebrated 1966 paper of V. Arnold. In this pa...
International audienceIt is well-known that some PDEs of hydrodynamical like KdV, CH, DP, HS, CLM, ....
We introduce a large class of systems of partial differential equations on a base manifold M, a clas...
We revisit the geodesic approach to ideal hydrodynamics and present a related geometric framework fo...
Relativistic hydrodynamics is a very successful theoretical framework to describe the dynamics of ma...
This lecture provides some introduction to perfect fluid dynamics within the framework of general re...
This book consists of two lecture notes on geometric flow equations (O. Schnürer) and Lorentzian geo...
This book is a text on classical general relativity from a geometrical viewpoint. Introductory chapt...
"The book aims to give a mathematical presentation of the theory of general relativity (that is, spa...
We describe some recent results for a class of nonlinear hydrodynamical approximation models where t...
The book's principal aim is to clarify fundamental concepts, decipher mathematical structures used t...
‘Gravity, a Geometrical Course’ presents general relativity (GR) in a systematic and exhaustive way,...