Georg Propst
Institute for Mathematics and Scientific Computing
University of Graz
A-8010 Graz, Austria
e-mail: georg.propst@uni-graz.at	G. Propst:   research , publications,  teaching

Publications:

• G. Propst, Pumping in Models of Flow in a Loop of Rigid Pipes, SIAM Journal on Applied Dynamical Systems 19 (4), 2020, 2737-2748, PDF of preprint (331 kB)
  
• G. Peralta and G. Propst, Existence of local-in-time classical solutions of a model of flow in a bounded elastic tube, Mathematical Methods in the Applied Sciences 39 (18), 2016, 5315-5329, PDF (374 kB)
  
• G. Peralta and G. Propst, Well-posedness and regularity of linear hyperbolic systems with dynamic boundary conditions, Proceedings of the Royal Society of Edinburgh 146A, 2016, 1047-1080, PDF (375 kB)
• G. Peralta and G. Propst, Global smooth solution to a hyperbolic system on an interval with dynamic boundary conditions, Quarterly of Applied Mathematics 74 (3), 2016, 539-570, PDF (401 kB)
• G. Peralta and G. Propst, Nonlinear and linear hyperbolic systems with dynamic boundary conditions, Bulletin of the Brazilian Mathematical Society, New Series 47 (2), 2016, 671-683, PDF (120 kB)
• G. Peralta and G. Propst, Stability and boundary controllability of a linearized model of flow in an elastic tube, ESAIM: Control, Optimisation and Calculus of Variations, Vol. 21, 2015, 583-601, PDF (352 kB)
  
• G. Peralta and G. Propst, Local well-posedness of a class of hyperbolic PDE-ODE systems on a bounded interval, Journal of Hyperbolic Differential Equations, Vol. 11, 2014, 705-747, PDF (593 kB)
  
• J.Á. Cid, G. Propst and M. Tvrdý, On the pumping effect in a pipe/tank configuration with friction, Physica D 273-274 (2014), 28-33, PDF (567 kB)
  
• W. Desch, E. Fašangová, J. Milota and G. Propst, Spectrum of a viscoelastic boundary damping model, Journal of Integral Equations and Applications, Vol. 23, 2011, 521-539, PDF (307 kB)
  
• W. Desch, E. Fašangová, J. Milota and G. Propst, Stabilization through viscoelastic boundary damping: a semigroup approach, Semigroup Forum, Vol. 80, 2010, 405-415, PDF (503 kB)
  
• S.L. Keeling, G. Propst, G. Stadler and W. Wackernagel, A mathematical model for the deformation of the eyeball by an elastic band, Mathematical Medicine and Biology 26 (2009), 165-185, PDF (372 kB).
• G. Propst, Pumping effects in models of periodically forced flow configurations, Physica D 217 (2006), 193-201. PDF (315 kB)
• W. Desch, K. Horn and G. Propst, Computation of equilibria in models of flue gas washer plants, Computers and Chemical Engineering 30 (2006), 1169-1177. PDF of uncorrected proof (213 kB)
• A. Borzì and G. Propst, Numerical investigation of the Liebau phenomenon, ZAMP - Zeitschrift für angewandte Mathematik und Physik 54 (2003), 1050-1072. PDF (473 kB)
• M. Kroller and G. Propst, On the truncation of the infinite sum of exponentials in a memory kernel of the linear wave equation, ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik 79 (1999), 603-613.
• G. Propst, Equilibrium states of a hyperbolic system of balance laws, Advances in Mathematical Sciences and Applications 8 (1998), 779-799.
• K. Ito and G. Propst, Legendre-tau-Padé approximations to the one-dimensional wave equation with boundary oscillators, Numerical Functional Analysis and Optimization 19 (1998), 57-70.
• G. Propst and J. Prüss, On wave equations with boundary dissipation of memory type, Journal of Integral Equations and Applications 8 (1996), 99-123.
• H.T. Banks, G. Propst and R.J. Silcox, A comparison of time domain boundary conditions for acoustic waves in wave guides, Quarterly of Applied Mathematics 54 (1996), 249-265.
• W. Prager and G. Propst, A dynamic two-phase flow model for a purification plant, Computers and Chemical Engineering 19 (1995), 309-320.
• G. Propst, Discretized energy minimization in a wave guide with point sources, Numerical Functional Analysis and Optimization 15 (1994), 921-942.
• G. Propst, Piecewise linear approximation for hereditary control problems, SIAM Journal on Control and Optimization 28 (1990), 70-96.
• J.A. Burns, K. Ito and G. Propst, On nonconvergence of adjoint semigroups for control systems with delay, SIAM Journal on Control and Optimization 26 (1988), 1442-1454.
• F. Kappel and G. Propst, Approximation of feedback controls for delay systems using Legendre polynomials, Conferenze del Seminario di Matematica dell' Università di Bari 201 (1984), 1-36.

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   research , publications , teaching