Academic Communication

Piecewise smooth solutions to the Burgers-Hilbert equation2015-06-12

Source: cnu       Clicks:       Size: small     middle       big

Prensenter:Prof. Alberto Bressan(Penn State University) 
Time: At 10:00 a.m. on June 12, 2015
Location:Room 517,Teaching Building, 56 West Third Ring Road North, Haidian District, Beijing.
Organizer:College of Marxism Education
Introduction:In 2009 J.Biello and J.Hunter derived a balance law for nonlinear waves with constant frequency, obtained from Burgers' equation by adding the Hilbert transform as a source term. This talk will survey some recent results on the global existence of solutions and on their uniqueness. In addition, piecewise smooth solutions can be constructed locally in time,providing a detailed description of the solution profile in a neighborhood of each shock. Various related open problems will be discussed.(This is a joint work with Khai Nguyen and Tianyou Zhang).