SGU lectures on

Advanced Study of Nonlinear Mechanics

Waseda University

Nishi-Waseda Campus

2018-19

 

This course is an activity of the

Mathematics and Physics Unit "Multiscale Analysis, Modelling and Simulation" Top Global University Project, Waseda University

Students (registered or non-registered) and researchers are warmly invited to (all or part of) the lectures!


(1) Symmetries and conservation laws: differential and difference equations (Spring)

This part of the course (consisting of 9 lectures in May/June 2018 by Dr. Linyu Peng, Waseda University) will be an introduction to symmetries and conservation laws for differential and difference equations.

Monday May 28,14:45-18:00 ROOM 51-805

Wednesday May 30, 14:45-18:00 ROOM 51-711

Friday June 1,14:45-18:00 ROOM 51-805

Monday June 4, 14:45-18:00 ROOM 51-805

Wednesday June 6, 14:45-1615 ROOM 51-711

TOPICS: 1. Calculation of symmetries for differential equations 2. Integration and reduction of differential equations 3. Group-invariant/similarity solutions of partial differential equations 4. Variational symmetries and conservation laws 5. Integrable systems: Infinitely many symmetries or conservation laws 6. Symmetry methods for difference equations

(2) Dirac geometry, variational principles, and dynamical systems (Spring)

The second part of the course (consisting of 6 lectures in June 2018 by Prof. Hiroaki Yoshimura, Waseda University) will treat Dirac geometry, variational principles, and dynamical systems.

Friday June 8,14:45-18:00 ROOM 51-805

Friday June 22,14:45-18:00 ROOM 51-805

Friday June 29,14:45-18:00 ROOM 51-805

TOPICS: 1. Some reviews on Hamiltonian and Lagrangian mechanics 2. Dirac geometry and the associated dynamical systems 3. Variational structures of Dirac dynamical systems 4. Some applications to nonholonomic mechanics

(3) Symplectic geometry and its applications (Winter)

The third part of the course (consisting of 8 lectures by Martin Guest, Waseda University and 7 lectures by Murad Alim, Hamburg University, in Winter Semester 2018/19) will discuss special geometry and ideas related to mirror symmetry.

ROOM: 59-217 [may change - please check this page for updates]

Monday January 21,14:45-18:00

Tuesday January 22,14:45-18:00

Monday January 28,14:45-18:00

Tuesday January 29,14:45-18:00

Monday February 4,14:45-18:00

Tuesday February 5,14:45-18:00

Thursday February 7, 14:45-18:00

Friday February 8,16:30-18:00

TOPICS: please see this page


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