Some aspects of hyperbolic PDE

Camille Jordan

Description

Some aspects of hyperbolic PDE Some aspects of hyperbolic PDE : Persistence of shock waves in fluid dynamics, Traffic flow, Stability of scalar conservation laws. M. Mercier Institut Camille Jordan, Lyon December 7. 2009 M. Mercier (Institut Camille Jordan, Lyon) Some aspects of hyperbolic PDE December 7. 2009 1 / 52

• classical solutions


• traffic flow


• compressible fluid


• time existence


• balance laws


• pedestrian traffic


• l1 theory

Sujets

• Jordan
• Mercier
• Colombo
• Traffic flow
• Compressible flow

Informations

• Publié par: profil-urra-2012
• Nombre de lectures: 12
• Langue: English

Extrait

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Ensemblesconvexesetmosaı¨quesal´eatoires

PhD defence at USTL, under the direction of Youri Davydov

November 15, 2010

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Random tessellations

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Convex rearrangements

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Generalised peeling

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1

2

Convex hulls of stochastic processes

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Convex hulls of stochastic processes

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7

Random tessellations

3

Convex rearrangements

2

Generalised peeling

4

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Topics of interest:

Topology ofext(X), 1-dimensional Hausdorff measure ofext(X).

More precisely: ext + (X): Extremal points in the upper part of the convex hull.

37

Extremal points Stochastic processX ext(X) : Set of the extremal points of its graph.

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