Prof. Dr. Jiří Horák

Forschung

• Analysis und Numerik von partiellen Differentialgleichungen
• Variationsrechnung
• Mathematische Fundamente von Simulationstechniken

Vita

• Seit 2013: Professor an der THI
• 2010-2013: TWT GmbH Science & Innovation: Projektleiter, Softwarearchitekt
• 2008-2009: RWTH Aachen | Vertretungsprofessor, Lehrstuhl I für Mathematik
• 2004-2010: Universität zu Köln: Wissenschaftlicher Assistent, 2012 Habilitation (Lehrbefähigung, venia legendi, Mathematik)
• 1996-2001: University of Connecticut, USA: Promotion (PhD) und Master of Science in Mathematik
• 1991-1996: TU Prag: Ingenieurmathematik (Dipl.-Ing.)

Veröffentlichungen

• J. Horák: Mountain Pass and its Applications in Analysis and Numerics, University of West Bohemia, 2012
• J. Horák, S. Pfitzer, M. Keckeisen (TWT GmbH), C. Neumann, K. Wüst (Daimler AG). Simulationsbasierte Homologation von Truck ESP-Systemen. 21. Aachener Kolloquium Fahrzeug- und Motorentechnik 2012
• J. Horák. Numerical investigation of the smallest eigenvalues of the p-Laplace operator on planar domains. Electron. J. Diff. Equ., 2011(132):1–30, 2011
• J. Horák, M. Lucia. A minimax theorem in the presence of unbounded Palais-Smale sequences. Isr. J. Math., 172(1):125–143, 2009
• J. Horák, P. J. McKenna, W. Reichel. Very weak solutions with boundary singularities for semilinear elliptic Dirichlet problems in domains with conical corners. J. Math. Anal. Appl., 352(1):496–514, 2009
• J. Horák, G. J. Lord, M. A. Peletier. Numerical variational methods applied to cylinder buckling. SIAM J. Sci. Comput., 30(3):1362–1386, 2008
• J. Horák, G. J. Lord, M. A. Peletier. Cylinder buckling: the mountain pass as an organizing center. SIAM J. Appl. Math., 66(5):1793–1824, 2006
• B. Breuer, J. Horák, P. J. McKenna, and M. Plum. A computer-assisted existence and multiplicity proof for travelling waves in a nonlinearly supported beam. J. Differential Equations, 224(1):60–97, 2006
• J. Horák. Constrained mountain pass algorithm for the numerical solution of semilinear elliptic problems. Numer. Math., 98(2):251–276, 2004
• R. F. Bass, J. Horák, and P. J. McKenna. On the lift-off constant for elastically supported plates. Proc. Amer. Math. Soc., 132(10):2951–2958, 2004
• J. Horák and W. Reichel. Analytical and numerical results for the Fučík spectrum of the Laplacian. J. Comput. Appl. Math., 161(2):313–338, 2003
• J. Horák and P. J. McKenna. Traveling waves in nonlinearly supported beams and plates. In Nonlinear equations: methods, models and applications (Bergamo, 2001), volume 54 of Progr. Nonlinear Differential Equations Appl., pages 197–215. Birkhäuser, Basel, 2003
• J. Fürst, J. Horák, K. Kozel, M. Vavřincová: Modern schemes for computation of transonic flows in internal aerodynamics, Acta Polytechnica 2000, CTU Prague, vol. 40, no. 4, pp. 110–116
• J. Fürst, J. Horák, K. Kozel, D. Vaněk: Central and upwind schemes for computation of transonic flows in internal aerodynamics, Current Problems  in Fluid Mechanics 99, Institute of Thermomechanics, Academy of Sciences,  Prague, 1999, pp. 19–22
• J. Fürst, J. Horák, K. Kozel: Numerical solution of transonic flows using central and upwind TVD schemes. Euler and Navier-Stokes’ Equations (Theory, Numerical Solution, Applications), Institute of Thermomechanics,  Academy of Sciences, Prague, 1996, pp. 27–28