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Řešení PDR jako křivky v prostoru pravděpodobnostních měr
PDR solution as a curve in the space of probability measure
Event by: Ústav matematiky
Location: Technická 2896/2, Technická 2, Brno-Královo Pole
Talks & discussions
About event
🗣️ Lecturer: Jakub Osička
🏢 Room: A1/1842
📆 Date: 24. 3. 2025 at 14:00
solving some parabolic partial differential equations correspond to gradient flows. For example, in the area of L^2, the solution of the heat conduction equation is a gradient flow after the functional of Dirichlet's energy. In the area of L^2, however, this tool cannot be used for the next PDR. A suitable space in which we can generalize these considerations is the so -called Wassestein space - a space whose elements are probabilistic measures. We solve the variety of gradient flows through numerical methods and try to deduce the orders of the convergence of these methods. The topic combines the theory of probability, functional analysis, partial differential equations, variation number or differential geometry.
🏢 Room: A1/1842
📆 Date: 24. 3. 2025 at 14:00
solving some parabolic partial differential equations correspond to gradient flows. For example, in the area of L^2, the solution of the heat conduction equation is a gradient flow after the functional of Dirichlet's energy. In the area of L^2, however, this tool cannot be used for the next PDR. A suitable space in which we can generalize these considerations is the so -called Wassestein space - a space whose elements are probabilistic measures. We solve the variety of gradient flows through numerical methods and try to deduce the orders of the convergence of these methods. The topic combines the theory of probability, functional analysis, partial differential equations, variation number or differential geometry.