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Grant Award View - GA142473-V3
Spectral Theory of Hamiltonian Dynamical Systems
GA ID:
GA142473-V3
Agency:
Australian Research Council
Approval Date:
11-Dec-2020
Variation Publish Date:
21-Apr-2022
Variation Date:
21-Apr-2022
Category:
Science, Technology, Engineering and Mathematics (STEM) Research
Grant Term:
1-Jan-2022 to 31-Dec-2024
Value (AUD):
$310,000.00
(GST inclusive where applicable)
Varies:
GA142473
- Spectral Theory of Hamiltonian Dynamical Systems
One-off/Ad hoc:
No
Aggregate Grant Award:
No
PBS Program Name:
ARC 20/21 Discovery
Grant Program:
Discovery Projects
Grant Activity:
Spectral Theory of Hamiltonian Dynamical Systems
Purpose:
Stability theory of steady states, travelling waves, periodic waves, and other coherent structures in nonlinear Hamiltonian partial differential equations is a cornerstone of modern dynamical systems. In particular it is of utmost importance to reliably compute eigenvalues, which determine the stability or instability of such structures. This project will develop methods to compute the spectrum of Hamiltonian operators in more than one spatial dimension. It will use the powerful geometric tools of the Maslov index and the Evans function. We will use these to simultaneously advance, and bring together the theories of the two dimensional Euler equations and Jacobi operators.
GO ID:
GO Title:
Discovery Projects for funding commencing in 2021
Internal Reference ID:
DP21 Round 1
Selection Process:
Targeted or Restricted Competitive
Confidentiality - Contract:
No
Confidentiality - Outputs:
No
Grant Recipient Details
Recipient Name:
The University of Sydney
Recipient ABN:
15 211 513 464
Grant Recipient Location
Suburb:
FOREST LODGE
Town/City:
FOREST LODGE
Postcode:
2037
State/Territory:
NSW
Country:
AUSTRALIA
Grant Delivery Location
State/Territory:
NSW
Postcode:
2037
Country:
AUSTRALIA