Asymptotic Crimes: Homogenized Wave Equations For Long Times

Event time: 
Thursday, November 12, 2020 - 4:15pm
Jeffrey Rauch
Speaker affiliation: 
University of Michigan
Event description: 

Study periodic homogenization of wave equations. Equations have coefficients oscillating periodically with period epsilon. Construct alternatives to standard homogenization that provide approximations with accuracy ~epsilon^N up to times ~1/epsilon^N. The construction violates several “laws” concerning the manipulation of asymptotic expansions. Joint work with Gregoire Allaire and Agnes Lamascz available on arxiv.