Name: Applied Partial Differential Equation. Part I: Classical dynamics of incompressible fluids: the Euler and the Navier-Stokes equations
Start: 2019-11-01T09:00:00+01:00
End: 2019-11-30T11:00:00+01:00
Location: No location set

Description

Lecturer:
Sara Daneri (GSSI)

Description:
The class will cover the following topics:

Derivation of the Euler and Navier-Stokes equations from conservation principles in the continuum hypothesis;
Conserved quantities and special solutions;
Local existence of solutions for regular initial data via energy methods;
Yudovich theorem on existence and uniqueness of two-dimensional solutions with bounded vorticity;
Leray-Hopf solutions of the Navier-Stokes equations;
Strong solutions and weak-strong uniqueness;
Serrin’s regularity result.

Applied Partial Differential Equation. Part I: Classical dynamics of incompressible fluids: the Euler and the Navier-Stokes equations

by Sara Daneri (GSSI)