Research Areas

Computational and Applied Mathematics


[1] Coupled Self-Organized Hydrodynamics and Stokes models for suspensions of active particles. With Pierre Degond, Sara Merino-Aceituno and Fabien Vergnet. Accepted by Journal of Mathematical Fluid Mechanics, 2018.  
[2] An age-structured continuum model for myxobacteria. With Pierre Degond and Angelika Manhart. Mathematical Models and Methods in Applied Sciences. Volume 28, Number 09, pp. 1737-1770, 2018.  
[3] On the relaxation approximation for 2X2 hyperbolic balance laws. With Martin Gugat and Michael Herty. Accepted by XVI International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Springer Proceedings in Mathematics and Statistics, 2018.  
[4] Feedback boundary control of linear hyperbolic equations with stiff source term. With Michael Herty. International Journal of Control. Volume 91, Issue 1, pp. 230-240, 2018.  
[5] Boundary stabilization of hyperbolic conservation laws using conservative finite volume schemes. With Michael Herty. Proceedings of the 55th IEEE Conference on Decision and Control, 2016.  
[6] Self-Organized Hydrodynamics with density dependent velocity. With P. Degond and S. Henkes. Kinetic and Related Models, Volume 10, Issue 1, pp. 193-213, 2017.  
[7] A continuum model for nematic alignment of self-propelled particles. With P. Degond and A. Manhart. Discrete and Continuous Dynamical Systems B, Volume 22, Issue 4, pp. 1295-1327, 2017.  
[8] Symmetry-breaking phase transitions in highly concentrated semen. With A. Creppy, F. Plouraboué, O. Praud, et al. Journal of the Royal Society Interface, Volume 13, Issue 123, 2016.  
[9] Self-Organized Hydrodynamics in an annular domain: modal analysis and nonlinear effects. With Pierre Degond. Mathematical Models and Methods in Applied Sciences, Volume 25, Issue 03, pp. 495-519, 2015.  
[10] The entropy satisfying discontinuous Galerkin method for Fokker-Planck equations. With Hailiang Liu. Journal of Scientific Computing, Vol 62, Issue 3, pp. 803-830, 2015.  
[11] Maximum-principle-satisfying third order discontinuous Galerkin methods for Fokker-Planck equations. With Hailiang Liu. SIAM Journal on Scientific Computing, Vol 36, No 5, pp. A2296-A2325, 2014.  
[12] Entropy/energy stable schemes for evolutionary dispersal models. With Hailiang Liu. Journal of Computational Physics, 256,  pp. 656–677, 2014.  
An entropy satisfying conservative method for the Fokker-Planck equation of the finitely extensible nonlinear elastic dumbbell model. With Hailiang Liu. SIAM Journal on Numerical Analysis, 50(3), pp. 1207-1239, 2012.