Differential Geometry, Differential Equations, and Mathematical Physics
The Wisła 19 Summer School
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Beschreibung
This volume presents lectures given at the Wisła 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wisła, 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
This volume presents lectures given at the Wisła 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wisła, 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
Provides a concise and accessible introduction to a selection of topics at the intersection of differential geometry, differential equations, and mathematical physics Features lecture notes, surveys, and original research, ideal for pedagogical use either independently or in the classroom Covers a wide variety of topics, using both theoretical and applied approaches
Autor*in
Maria Ulan
Themen in »Differential Geometry, Differential Equations, and Mathematical Physics«
Differential geometry math physics Differential geometry fluid dynamics Differential geometry thermodynamics Differential equations geometry Differential equations math physics Wisla summer school Poisson and symplectic structures Tractor calculus Finite dimensional dynamics Transformation groups Parabolic geometry Darcy Euler flows Differential invariants fluid flow Dirichlet filtration problem Cartan geometries