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SUMMARY:On the local existence of C^1 solutions for the initial value prob
 lem of the 1D linear hyperbolic system of conservation laws - Tianrui Bayl
 es-Rea (University of Oxford)
DTSTART:20200522T110000Z
DTEND:20200522T120000Z
UID:TALK142612@talks.cam.ac.uk
CONTACT:Renato Velozo
DESCRIPTION:Hyperbolic partial differential equations play an important ro
 le in physics\, especially in continuum mechanics. The flow of gases gover
 ned by the Euler equation is a typical example of hyperbolic PDEs. In this
  talk\, we will be concerned with local well-posedness of some one-dimensi
 onal linear hyperbolic system of equations. We will show using the fixed p
 oint iteration method\, that given an initial data continuously differenti
 able\, there exists a unique continuously differentiable solution to our h
 yperbolic PDEs up to some finite time t>0.
LOCATION:Online (Ask for the link to rav25@cam.ac.uk)
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