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Carleman equations and a nonlinear heat equation

Wednesday, June 20, 2018 - 10:00am - 11:00am
Jin Feng (University of Kansas)
The deterministic Carleman equation can be considered as an one dimensional two speed fictitious gas model. Its associated hydrodynamic limit gives a nonlinear heat equation. The rigorous derivation of such limit was known since the 1970th. In this talk, starting from a more refined stochastic model giving the Carleman equation as the mean field, we derive a fluctuation structure associated with the hydrodynamic limit.
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