Projects per year
We describe two new discrete symmetries of the inviscid Burgers (or Riemann-Hopf) equation ut+uux=0. We derived both of them using a local, formal approach of Hopf algebraic renormalization, a tool recently used in algorithmic computations. We prove that one of them is a Lie point transformation. Symmetries generate new exact solutions from the known solutions and provide useful frames of reference in the study of shock wave formation.
- Symmetries of PDE
- Quasi-Miura algebraic methods
- Inviscid Burgers equation
FingerprintDive into the research topics of 'Inner symmetries of the spatially singular part of the solutions of the Burgers equation and their Lie representations'. Together they form a unique fingerprint.
- 1 Finished
AlgoNano: Algorithmic Nanotechnology: Modeling, Design and Automation of Synthetic Self-Assembly Systems (AlgoNano) (Academy of Finland)
01/09/17 → 31/08/21
Project: Academy of Finland/Other Research Councils