Dynamics and collisions of nearly parallel vortex filaments - TIB AV-Portal

Dynamics and collisions of nearly parallel vortex filaments

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Zugehöriges Material

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Formale Metadaten

Titel

Dynamics and collisions of nearly parallel vortex filaments

Serientitel

Hamiltonian PDEs: KAM, Reducibility, Normal Forms and Applications (19w5076)

Anzahl der Teile

22

Autor

Lizenz

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Identifikatoren

10.5446/56484 (DOI)

Herausgeber

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Erscheinungsjahr

Sprache

Inhaltliche Metadaten

Fachgebiet

Mathematik Physik

Genre

Workshop/Interaktives Format Vorlesung

Abstract

We study the issue of collisions in finite time for vortex filaments in 3D incompressible fluids, according to a model introduced by Klein, Majda and Damodaran. We also mention another more precise model for the dynamics of one filament introduced by Zhakarov. This is joint work with Valeria Banica and Erwan Faou.

Serie

Hamiltonian PDEs: KAM, Reducibility, Normal Forms and Applications (19w5076)15 / 22

1

44:51

On the integrability of the Benjamin-Ono equation with periodic boundary conditions

2

17:32

Dispersive Shock waves in Hamiltonian Bidirectional Whitham systems

3

15:36

Renormalization of semiclassical KAM systems.

4

35:15

Partially localized solutions of elliptic equations on {R}^{N+1}

5

39:20

Almost-periodic tori for the nonlinear Schrödinger equation

6

40:38

Construction of quasi-periodic response solutions for forced systems with damping

7

37:10

On the break down of small amplitude breathers for the Klein-Gordon equation

8

37:34

Construction of unstable KAM tori for a system of coupled NLS equations.

9

40:42

Small divisors and free vibrations in the n-vortex filament problem

10

45:17

Approximation theorems for the Schrodinger equation and vortex reconnection in quantum fluids.

11

15:40

Periodic orbits and symmetries in symplectic maps

12

12:23

Reducibility of a transport equation on T^ d with unbounded perturbations

13

42:13

Strong Sobolev instability of quasi-periodic solutions of the 2D cubic Schrödinger equation

14

42:37

Solitons of the NLS equation escaping a potential.

15

38:23

Dynamics and collisions of nearly parallel vortex filaments

16

57:36

General introduction to "KAM for PDEs"

17

59:42

Dynamical System Approach to Spectral Theory of Quasi-Periodic Schrödinger operators

18

38:24

Drift of steady states in Hamiltonian PDEs: two examples

19

41:18

Growth of Sobolev norms for abstract linear Schrödinger equations

20

43:24

Rational normal forms and stability of small solutions to nonlinear Schrödinger equations

21

43:34

Stability of chiral magnetic skyrmions for 2D Landau-Lifshitz equations

22

58:23

The Gross-Pitaevskii Equation and Quantum Vortices

Automatisches Abspielen