April 11, 2019
1:50PM - 2:50PM
Math Tower 154
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2019-04-11 13:50:00
2019-04-11 14:50:00
PDE Seminar - Robert Jerrard
Title: Concentrated vorticity in the Gross-Pitaevskii equations
Speaker: Robert Jerrard (University of Toronoto)
Abstract: We study the motion of thin, nearly parallel vortex filaments in 3d solutions of the Gross-Pitaevskii equations. Our main result shows that in a certain scaling limit, these filaments are governed by a system of nonlinear Schroedinger equations formally derived by Klein, Majda, and Damodaran in the mid '90s in the context of the Euler equations. This is the first rigorous justification of the Klein-Majda-Damodaran model in any setting. This is joint work with Didier Smets.
Seminar URL: https://research.math.osu.edu/pde/
Math Tower 154
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ascwebservices@osu.edu
America/New_York
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Date Range
Add to Calendar
2019-04-11 13:50:00
2019-04-11 14:50:00
PDE Seminar - Robert Jerrard
Title: Concentrated vorticity in the Gross-Pitaevskii equations
Speaker: Robert Jerrard (University of Toronoto)
Abstract: We study the motion of thin, nearly parallel vortex filaments in 3d solutions of the Gross-Pitaevskii equations. Our main result shows that in a certain scaling limit, these filaments are governed by a system of nonlinear Schroedinger equations formally derived by Klein, Majda, and Damodaran in the mid '90s in the context of the Euler equations. This is the first rigorous justification of the Klein-Majda-Damodaran model in any setting. This is joint work with Didier Smets.
Seminar URL: https://research.math.osu.edu/pde/
Math Tower 154
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Concentrated vorticity in the Gross-Pitaevskii equations
Speaker: Robert Jerrard (University of Toronoto)
Abstract: We study the motion of thin, nearly parallel vortex filaments in 3d solutions of the Gross-Pitaevskii equations. Our main result shows that in a certain scaling limit, these filaments are governed by a system of nonlinear Schroedinger equations formally derived by Klein, Majda, and Damodaran in the mid '90s in the context of the Euler equations. This is the first rigorous justification of the Klein-Majda-Damodaran model in any setting. This is joint work with Didier Smets.
Seminar URL: https://research.math.osu.edu/pde/
