醉月湖講座

主講者: Prof. Stefano Bianchini (Scuola Internazionale Superiore di Studi Avanzati)
講題: Hyperbolic conservation laws: a perspective on some known results and open problems
時間: 2015-06-15 (Mon.)  14:00 - 15:00
地點: 天文數學館2樓202教室
Abstract: In this lecture I will introduce the class of mathematical models which are the hyperbolic systems of conservation laws. The paradigm of these systems are the Euler equation of gas dynamics, but in general whenever a quantity is conserved a conservation law appear. In one space dimension the theory is well developed, and I will introduce some of its main tools, as well as discuss some of the remaining open problems. In multi-d, instead, so far the results are pretty much negative, but for some special systems: I will show some of this counterintuitive facts. I will also try to show the connection of this theory with other research fields of Differential Equations.
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