Career
Education
Research Interest My research focuses on controllability, mixing phenomena, and other qualitative aspects of nonlinear partial differential equations and dynamical systems from mathematical physics. In particular, I am interested in the Navier-Stokes equations and related fluid models. Selected Publication Peer-reviewed [1] M. Rissel and M. Tucsnak, “Approximate tracking controllability of systems with quadratic nonlinearities,” J. Differential Equations, vol. 477, p. Paper No. 114597, 2026. https://doi.org/10.1016/j.jde.2026.114597 [2] M. Rissel, “Approximate controllability of boussinesq channel flows only through the temperature,” SIAM Journal on Control and Optimization, vol. 64, no. 1, pp. 59–75, 2026. https://doi.org/10.1137/25M1746276 [3] V. Nersesyan and M. Rissel, “Global controllability of boussinesq flows by using only a temperature control,” Arch. Ration. Mech. Anal., vol. 249, no. 58, 2025. https://doi.org/10.1007/s00205-025-02128-6 [4] M. Rissel, “Exact controllability of incompressible ideal magnetohydrodynamics in two dimensions,” Pure Appl. Anal., vol. 7, no. 3, pp. 661–700, 2025. https://doi.org/10.2140/paa.2025.7.661 [5] V. Nersesyan and M. Rissel, “Localized and degenerate controls for the incompressible Navier–Stokes system,” Comm. Pure Appl. Math., vol. 78, no. 7, pp. 1285–1319, 2025. https://doi.org/10.1002/cpa.22246 [6] L. Mertz, V. Nersesyan, and M. Rissel, “Exponential mixing of constrained random dynamical systems via controllability conditions,” SIAM Journal on Control and Optimization, vol. 62, no. 6, pp. 3266–3287, 2024. https://doi.org/10.1137/24M164999X [7] M. Rissel and Y.-G. Wang, “Small-time global approximate controllability for incompressible MHD with coupled Navier slip boundary conditions,” J. Math. Pures Appl., vol. 190, p. 103601, 2024. https://www.sciencedirect.com/science/article/pii/S0021782424000990 [8] M. Rissel and Y.-G. Wang, “Global exact controllability of ideal incompressible magnetohydrodynamic flows through a planar duct,” ESAIM Control Optim. Calc. Var., vol. 27, pp. Paper No. 103, 24, 2021. https://doi.org/10.1051/cocv/2021099 [9] M. Rissel and Y.-G. Wang, “Remarks on exponential stability for a coupled system of elasticity and thermoelasticity with second sound,” J. Evol. Equ., vol. 21, no. 2, pp. 1573–1599, 2021. https://doi.org/10.1007/s00028-020-00636-4 Preprints [P1] L. Mertz, V. Nersesyan, and M. Rissel, “Controllability and Exponential Mixing in Singular Interacting Particle Systems”, 2026, https://doi.org/10.48550/arXiv.2607.08435 [P2] K. Koike, V. Nersesyan, M. Rissel, and M. Tucsnak, “Relaxation enhancement by controlling incompressible fluid flows”, 2025, https://doi.org/10.48550/arXiv.2506.22233 [P3] M. Rissel, “Controllability of Boussinesq flows driven by finite-dimensional and physically localized forces”, 2025, https://doi.org/10.48550/arXiv.2506.19764 |
Webpage: www.manuel-rissel.de Email: mrissel@shanghaitech.edu.cn Office: S311, School of Creativity & Arts |
