Differential Geometry, Differential Equations, and Mathematical Physics

The Wisła 19 Summer School

Maria Ulan, Eivind Schneider (Herausgeber)

Buch | Softcover

XIV, 231 Seiten

2022 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-63255-7 (ISBN)

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This volume presents lectures given at the Wisla 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wisla, Poland, and was organized by the Baltic Institute of Mathematics. The lectures were dedicated to symplectic and Poisson geometry, tractor calculus, and the integration of ordinary differential equations, and are included here as lecture notes comprising the first three chapters. Following this, chapters combine theoretical and applied perspectives to explore topics at the intersection of differential geometry, differential equations, and mathematical physics. Specific topics covered include:

Parabolic geometry
Geometric methods for solving PDEs in physics, mathematical biology, and mathematical finance
Darcy and Euler flows of real gases
Differential invariants for fluid and gas flow

Differential Geometry, Differential Equations, and Mathematical Physics is ideal for graduate students and researchers working in these areas. A basic understanding of differential geometry is assumed.

Poisson and Symplectic Structures, Hamiltonian Action, Momentum, and Reduction.- Notes on Tractor Calculi.- Symmetries and Integrals.- Finite Dimensional Dynamics of Evolutionary Equations with Maple.- Critical Phenomena in Darcy and Euler Flows of Real Gases.- Differential Invariants for Flows of Fluids and Gases.

Erscheinungsdatum	15.02.2022
Reihe/Serie	Tutorials, Schools, and Workshops in the Mathematical Sciences
Zusatzinfo	XIV, 231 p. 29 illus., 20 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	385 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Cartan geometries • Darcy Euler flows • Differential equations geometry • Differential equations math physics • Differential geometry fluid dynamics • Differential geometry math physics • Differential geometry thermodynamics • Differential invariants fluid flow • Dirichlet filtration problem • Finite dimensional dynamics • fluid- and aerodynamics • parabolic geometry • Partial differential equations • Poisson and symplectic structures • Tractor calculus • transformation groups • Wisla summer school
ISBN-10	3-030-63255-5 / 3030632555
ISBN-13	978-3-030-63255-7 / 9783030632557
Zustand	Neuware