Analysis Seminar

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On the stochastic Camassa-Holm equation with transport noise

Speaker: Helge Holden, NTNU Norwegian University of Science and Technology

Location: Warren Weaver Hall 1302

Date: Tuesday, April 16, 2024, 3:30 p.m.

Synopsis:

We will discuss recent work regarding the stochastic Camassa-Holm equation  \(u_t+uu_x+P_x+\sigma u_x \circ dW=0\) and \(P-P_{xx}=u^2+ \frac 12 u_x^2\).

In particular, we will show existence of a weak, global, dissipative solution of the Cauchy initial-value problem on the torus. 

This is joint work with L. Galimberti (King’s College), KH Karlsen (Oslo), and PHC Pang (NTNU/Oslo).

Notes:

Special Analysis Seminar