V-Prof. Dr. Mario Fuest (Vertr. Prof. Analysis partieller Differentialgleichungen) - FB10

Vertr. Prof. Analysis partieller Differentialgleichungen

Analysis partieller Differentialgleichungen, insbesondere parabolischer Gleichungen und Systeme
Explosionsphänomene in Chemotaxis-Systemen
Existenztheorie und qualitative Analysis kreuz-diffusiver Systeme
Mathematische Modelle für Thermoelastizität

X. Cao and M. Fuest. Finite-time blow-up in fully parabolic quasilinear Keller–Segel systems with supercritical exponents. Calc. Var. Partial Differ. Equ., 64:Art. 89, 2025. [arXiv:2409.19388] [DOI]
M. Fuest. Upper estimates for the Hausdorff dimension of the temporal singular set in chemotaxis-fluid systems. Proc. Am. Math. Soc., 153(5):2053–2066, 2025. [arXiv:2402.16582] [DOI]
M. Fuest and M. Winkler. Uniform L^p estimates for solutions to the inhomogeneous 2D Navier–Stokes equations and application to a chemotaxis-fluid system with local sensing. J. Math. Fluid Mech., 26:Art. 60, 2024. [arXiv:2401.09832] [DOI]
M. Fuest and Sh. Heydari. A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation. Math. Models Methods Appl. Sci., 34(09):1739–1779, 2024. [arXiv:2312.08147] [DOI]
P.M. Bies, T. Cieślak, M. Fuest, J. Lankeit, B. Muha, S. Trifunović. Existence, uniqueness, and long-time asymptotic behavior of regular solutions in multidimensional thermoelasticity. SIAM J. Math. Anal., accepted. [arXiv:2507.20794]

Eine vollständige Publikationsliste findet sich auf ORCID. Siehe auch zbMATH sowie MathSciNet.