Burgers

portrait In my side research, I study soliton solutions to the American Burgers equation. The asymptotically stable solutions that I have found are:

There are also the self-similar solutions:

Travel

7-25 July 2025 Partial Differential Equations of Classical Physics SCGP
9-20 June 2025 KIAS
7-11 April 2025 Hyperbolic & Dispersive Equations on Curved Geometries SCGP
6-10 January 2025 Boundary and Singularity in Fluid Mechanics SCGP
21 July-2 August 2024 Mathematics of General Relativity and Fluids FORTH
12-14 June 2024 Nonlinear PDE Summer School UC Berkeley
19-21 April 2024 Riviere-Fabes Symposium University of Minnesota
14-16 March 2024 Spring School on Soliton Dynamics Texas A&M University
17 July-11 August 2023 Mathematical Problems in Fluid Dynamics MSRI
29 May-2 June 2023 Singularity Formation in General Relativity and Dispersive PDEs ICMS
16-24 May 2023 Recent Advances in Mathematical Fluid Dynamics Duke University