Research Interests
I am interested in the existence and stability of coherent structures in differential equations. In particular, I am mainly focused on periodic traveling solutions in systems of partial differential equations related to biological pattern formation and shock waves in gas dynamics.
Recent Preprints:
Convective Turing bifurcation with conservation laws. arXiv:2305.16457 (with K. Zumbrun).
Majda and ZND models for detonation: nonlinear stability vs. formation of singularities. arXiv:2210.16039 (with P. Blochas).
Diffusive stability of convective Turing patterns. arXiv: 2101.08360 (with K. Zumbrun).
Convective Turing bifurcation. arXiv:2101.07239 (with K. Zumbrun).
Recent Preprints:
Convective Turing bifurcation with conservation laws. arXiv:2305.16457 (with K. Zumbrun).
Majda and ZND models for detonation: nonlinear stability vs. formation of singularities. arXiv:2210.16039 (with P. Blochas).
Diffusive stability of convective Turing patterns. arXiv: 2101.08360 (with K. Zumbrun).
Convective Turing bifurcation. arXiv:2101.07239 (with K. Zumbrun).
External Relationships
- University of Bordeaux and CHU de Bordeaux
- University of Rennes 1
- University of Toulouse
This faculty member (or a member of their immediate family) has reported outside activities with the companies, institutions, or organizations listed above. This information is available to institutional leadership and, when appropriate, management plans are in place to address potential conflicts of interest.