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Differential Equations Seminar

Unconditional well-posedness for the Benjamin-Ono equation
Thursday, December 6, 2018
4:00-5:00 PM
4088 East Hall Map
The Benjamin-Ono equation arises as a model PDE for the propagation of long one-dimensional waves at the interface of two layers of fluids with different densities. It poses analytical difficulties due to its quasilinear character. The global well-posedness in L^2 was first shown by Ionescu and Kenig by using an intricate functional setting. Later on, Molinet and Pilod, and more recently Ifrim and Tataru gave different and simpler proofs. However, the unconditional uniqueness of solutions problem remained open. After briefly surveying prior uniqueness statements, we will discuss a method based on normal form reductions for showing uniqueness of solutions without any auxiliary condition. Speaker(s): Razvan Mosincat (The University of Edinburgh)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics