Stochastic Analysis: Incompressible Viscous Fluids & SPDEs on Graphs

Related lectures (28)

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Explores inviscid flows, Reynolds number importance, linear deformations, and volume change in fluid dynamics.

Covers the foundations of fluid mechanics, focusing on flow problem descriptions and solutions.

Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.

Discusses Newton's 2nd Law in fluid dynamics and incompressible Newtonian fluids.

Explores fluid dynamics concepts like energy argument, momentum balance, and equation of state for perfect fluids.

Explores Prim's algorithm for minimum spanning trees and introduces the Traveling Salesman Problem.

Focuses on fixed points in graph theory and their implications in algorithms and analysis.

Covers the differential approach to fluid dynamics, focusing on conservation laws and the Cauchy stress tensor.

Covers mass and momentum conservation, Navier-Stokes equations, and analytical methods in incompressible fluid mechanics.