Applied Mathematics

The reseaerch area of Peter Markowich is Nonlinear Analysis and Partial Differential Equations. These equations, which use the language of the fundamental works of Leibnitz, Newton and Maxwell, describe dynamical physical processes ranging from atomistic to galactic dimensions. Important examples are the Botzmann equation of gas kinetics, the Schroedinger equation of quantum physics, Einstein`s field equations of the relativity theory and the Navier-Stokes equations of fluid dynamics. Partial differential equations are a central research area in modern mathematical analysis as well as in modern mathematical physics. Peter Markowich is working on the methodological basis, on concrete modelling problems and on issues of the numerical computer simulation of physical phenomena employing differential equation models. For example, he contributed to practical design problems for highly integrated semiconductor devices, to the understanding of basic questions on entropy techniques for kinetic equations and diffusion processes and to the rigorous analysis of the connection of classical and quantum mechanics. Markowich spent many years at universities and research centers abroad. Two years ago he returned to Austria and is now more than ever active in international research projects. His dream is to establish Vienna as internationally known center for Applied Mathematics.

The reseaerch area of Peter Markowich is Nonlinear Analysis and Partial Differential Equations. These equations, which use the language of the fundamental works of Leibnitz, Newton and Maxwell, describe dynamical physical processes ranging from atomistic to galactic dimensions. Important examples are the Botzmann equation of gas kinetics, the Schroedinger equation of quantum physics, Einstein`s field equations of the relativity theory and the Navier-Stokes equations of fluid dynamics. Partial differential equations are a central research area in modern mathematical analysis as well as in modern mathematical physics. Peter Markowich is working on the methodological basis, on concrete modelling problems and on issues of the numerical computer simulation of physical phenomena employing differential equation models. For example, he contributed to practical design problems for highly integrated semiconductor devices, to the understanding of basic questions on entropy techniques for kinetic equations and diffusion processes and to the rigorous analysis of the connection of classical and quantum mechanics. Markowich spent many years at universities and research centers abroad. Two years ago he returned to Austria and is now more than ever active in international research projects. His dream is to establish Vienna as internationally known center for Applied Mathematics.