Wednesday, May 18, 2022 - 16:15 in ZOOM - Video Conference
Long time dynamics of large solutions to KP in regions of space
A talk in the Oberseminar Analysis series by
Claudio Muñoz
| Abstract: |
We consider the Kadomtsev-Petviashvili (KP) equations posed on $R^2$. For both equations, we provide sequential in time asymptotic descriptions of solutions, of arbitrarily large data, inside regions not containing lumps or line solitons, and under minimal regularity assumptions. The proof involves the introduction of two new virial identities adapted to the KP dynamics, showing decay in large regions of space, especially in the KP-I case, where no monotonicity property was previously known. Our results do not require the use of the integrability of KP and are adaptable to well-posed perturbations of KP. This is joint work with Mendez, Poblete and Pozo.
Zoom Meeting ID: 986 0677 6055
Passcode: 430747
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Within the CRC this talk is associated to the project(s): A1 |
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