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Regularity estimates for solutions to scalar conservation laws

Elio Marconi
Location: 
A-133
Schedule: 
Friday, June 16, 2017 - 14:00
Abstract: 

We investigate the structure of solutions to scalar conservation laws in one space dimension:$$ u_t+f(u)_x=0. $$The main tool of this work is the so called Lagrangian representation: an extension of the method of characteristics.After a brief overview on the standard well-posedness theory, we show how to obtain a priori regularity estimates of the solutions by means of the Lagrangian representation.

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