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 V. Nersesyan and M. Rissel, “Global controllability of boussinesq flows by using only a temperature control,” to appear in Arch. Ration. Mech. Anal., 2025. 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 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 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 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://doi.org/10.1016/j.matpur.2024.103601 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 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 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 M. Rissel, “Controllability of Boussinesq flows driven by finite-dimensional and physically localized forces”, 2025. https://doi.org/10.48550/arXiv.2506.19764 M. Rissel, “Global controllability of Boussinesq channel flows only through the temperature”, 2024. https://doi.org/10.48550/arXiv.2411.02200 |
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