Wissenschaftliche Artikel

Mennemann, J.-F., Matthes, D., Weishäupl, R.-M., & Langen, T. (2015). Optimal control of Bose-Einstein condensates in three dimensions. New Journal of Physics, 17(11), 113027. https://doi.org/10.1088/1367-2630/17/11/113027 ( reposiTUm)
Matthes, D., Bukal, M., & Jüngel, A. (2013). A multidimensional nonlinear sixth-order quantum diffusion equation. Annales de l’Institut Henri Poincaré C, 30(2), 337–365. https://doi.org/10.1016/j.anihpc.2012.08.003 ( reposiTUm)
Matthes, D., Jüngel, A., & Toscani, G. (2011). Convex Sobolev Inequalities Derived from Entropy Dissipation. Archive for Rational Mechanics and Analysis, 199(2), 563–596. https://doi.org/10.1007/s00205-010-0331-9 ( reposiTUm)
Düring, B., Matthes, D., & Milisic, J.-P. (2010). A gradient flow scheme for nonlinear fourth order equations. Discrete and Continuous Dynamical Systems - Series B, 14(3), 935–959. http://hdl.handle.net/20.500.12708/166758 ( reposiTUm)
Bukal, M., Jüngel, A., & Matthes, D. (2010). Entropies for radially symmetric higher-order nonlinear diffusion equations. Communications in Mathematical Sciences, 9(2), 353–382. http://hdl.handle.net/20.500.12708/168109 ( reposiTUm)
Matthes, D., McCann, R. J., & Savaré, G. (2009). A family of fourth order equations of gradient flow type. Communications in Partial Differential Equations, 34(11), 1352–1397. https://doi.org/10.1080/03605300903296256 ( reposiTUm)
Düring, B., Matthes, D., & Toscani, G. (2009). A Boltzmann-type approach to the formation of wealth distribution curves. Riv.Mat.Univ.Parma, (SERIE 8) 1, 199–261. http://hdl.handle.net/20.500.12708/165281 ( reposiTUm)
Jüngel, A., & Matthes, D. (2008). The Derrida-Lebowitz-Speer-Spohn equation: existence nonuniqueness, and decay rates of the solutions. SIAM Journal on Mathematical Analysis, 39(6), 1996–2015. http://hdl.handle.net/20.500.12708/168840 ( reposiTUm)
Amster, P., Jüngel, A., & Matthes, D. (2008). Non-homogeneous boundary conditions for a fourth-order diffusion equation. Comptes Rendus Mathématique, 346, 143–148. http://hdl.handle.net/20.500.12708/168841 ( reposiTUm)
Düring, B., Matthes, D., & Toscani, G. (2008). Kinetic equations modelling wealth redistribution: a comparison of approaches. Physical Review E, 78(056103). https://doi.org/10.1103/physreve.78.056103 ( reposiTUm)
Jüngel, A., & Matthes, D. (2008). Entropiemethoden für nichtlineare partielle Differentialgleichungen. Internationale Mathematische Nachrichten, 209, 1–14. http://hdl.handle.net/20.500.12708/171174 ( reposiTUm)

Beiträge in Tagungsbänden

Arnold, A., Carrillo, J. A., & Matthes, D. (2023). All relative entropies for general nonlinear Fokker-Planck equations. In Classical and Quantum Mechanical Models of Many-Particle Systems (pp. 57–60). Mathematisches Forschungsinstitut Oberwolfach. https://doi.org/10.14760/OWR-2023-38 ( reposiTUm)
Düring, B., Matthes, D., & Toscani, G. (2008). Exponential and Algebraic Relaxation in Kinetic Models for Wealth Distribution. In N. Manganaro, R. Monaco, & S. Rionero (Eds.), “WASCOM 2007” -- Proceedings of the 14th Conference on Waves and Stability in Continuous Media. World Scientific Publishing. http://hdl.handle.net/20.500.12708/40759 ( reposiTUm)

Beiträge in Büchern

Düring, B., & Matthes, D. (2010). A mathematical theory for wealth distribution. In G. Naldi, L. Pareschi, & G. Toscani (Eds.), Modeling and Simulation in Science, Engineering and Technology. Birkhäuser. https://doi.org/10.1007/978-0-8176-4946-3_4 ( reposiTUm)

Präsentationen

Matthes, D. (2009). Kinetic Models in Econophysics. Topics in Kinetic Theory, Victoria, Non-EU. http://hdl.handle.net/20.500.12708/119076 ( reposiTUm)
Matthes, D. (2009). Nichtlineare Diffusion von vierter Ordnung. Mathematisches Kolloquium, Goethe-Univ. Frankfurt, Frankfurt, EU. http://hdl.handle.net/20.500.12708/119077 ( reposiTUm)
Matthes, D. (2009). Analysis for a degenerate Quantum Drift Diffusion Equation. Workshop "Quantum Systems and Semiconductor Devices: Analysis, Simulations, Applications, Beijing, Tsinghua University, Non-EU. http://hdl.handle.net/20.500.12708/119073 ( reposiTUm)
Matthes, D. (2009). Distribution of wealth in market economies: A kinetic approach. ICMS Workshop “Kinetic and Mean-field models in the Socio-Economic Sciences,” Edinburgh, UK, EU. http://hdl.handle.net/20.500.12708/119074 ( reposiTUm)
Matthes, D. (2009). Random Kinetic Models on the Real Axis. Workshop: Theory and Applications of Classical and Quantum Kinetic Theory, Banff, Non-EU. http://hdl.handle.net/20.500.12708/119075 ( reposiTUm)
Matthes, D. (2008). Equilibration and Propagation of Smoothness in a Kinetic Model that is Conservative in the Mean. Workshop on Kinetic Equations: Direct and Inverse Problems, Mantova, Italien, EU. http://hdl.handle.net/20.500.12708/118607 ( reposiTUm)
Matthes, D. (2008). The Wasserstein Gradient Flow of Energies. SIAM Conference on Nonlinear Waves and Coherent Structures, Rom, EU. http://hdl.handle.net/20.500.12708/118610 ( reposiTUm)
Matthes, D. (2008). Kinetic models with random collision kernels on the line. Seminar of the Department of Statistics, Univ. Toulouse, Toulouse, Austria. http://hdl.handle.net/20.500.12708/118810 ( reposiTUm)
Matthes, D. (2008). Calculating entropies for higher-order diffusive PDEs. Fakultätskolloquium der Universität Zagreb, Zagreb, Kroatien, Non-EU. http://hdl.handle.net/20.500.12708/118809 ( reposiTUm)
Matthes, D. (2008). Kinetic models for wealth redistribution. Equilibration and propagation of smoothness. Workshop “Kinetic modelling for socio-economic and related problems,” Vigevano, Italien, EU. http://hdl.handle.net/20.500.12708/118807 ( reposiTUm)
Matthes, D. (2008). The Wasserstein gradient flow of energies. Workshop “Optimal transportation and applications,” Pisa (Italien), EU. http://hdl.handle.net/20.500.12708/118808 ( reposiTUm)

Berichte

Bukal, M., Jüngel, A., & Matthes, D. (2011). A multidimensional nonlinear sixth-order quantum diffusion equation (ASC Report 12/2011; pp. 1–35). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/27172 ( reposiTUm)
Bukal, M., Jüngel, A., & Matthes, D. (2010). Entropies for radially symmetric higher-order nonlinear diffusion equations (ASC Report 11/2010; pp. 1–28). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26800 ( reposiTUm)
Düring, B., Matthes, D., & Milisic, J.-P. (2009). A gradient flow scheme for nonlinear fourth order equations (ASC Report 25/2009). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26437 ( reposiTUm)
Matthes, D., McCann, R. J., & Savaré, G. (2009). A family of nonlinear fourth order equations of gradient flow type (ASC Report 11/2009). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26375 ( reposiTUm)
Matthes, D., Jüngel, A., & Toscani, G. (2009). Convex Sobolev inequalities derived from entropy dissipation (ASC Report 19/2009). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26412 ( reposiTUm)
Jüngel, A., & Matthes, D. (2008). Entropiemethoden für nichtlineare partielle Differentialgleichungen (ASC Report 35/2008). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26138 ( reposiTUm)
Bassitti, F., Ladelli, L., & Matthes, D. (2008). Central limit theorem for a class of one-dimensional equations (ASC Report 37/2008). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26181 ( reposiTUm)
Düring, B., Matthes, D., & Toscani, G. (2008). Kinetic equations modelling wealth redistribution: a comparison of approaches (ASC Report 16/2008). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26075 ( reposiTUm)
Düring, B., Matthes, D., & Toscani, G. (2008). A Boltzmann-type approach to the formation of wealth distribution curves (ASC Report 29/2008). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/26144 ( reposiTUm)
Jüngel, A., & Matthes, D. (2008). A review on results for the Derrida-Lebowitz-Speer-Spohn equation (ASC Report 02/2008). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/25153 ( reposiTUm)

Hochschulschriften

Matthes, D. (2009). On the equilibration in certain kinetic and diffusion equations [Professorial Dissertation, Technische Universität Wien]. reposiTUm. http://hdl.handle.net/20.500.12708/184308 ( reposiTUm)