This special session will address some of the most challenging recent problems concerning the mathematical modelling and numerical simulation of superfluid systems (Bose-Einstein condensate and superfluid Helium). The objective of the session is to bring together applied and pure mathematicians, as well as computational scientists who have contributed to the development of relevant mathematical and computational models in this area.

The topics which will be discussed include mathematical models for complex quantum systems (dipolar, spinor BEC, quantum turbulence, etc.), numerical methods for the Gross-Pitaevskii and related equations, high-performance computing of realistic configurations corresponding to physical quantum systems.

Program pdf file

Scientific program

Blair Blakie

Supersolidity in Dipolar Bose-Einstein condensates

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Han Pu

Floquet geometric squeezing in fast-rotating condensates

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Dmitry Pelinovsky

NLS equation with competing nonlinearities: orbital stability of kinks and solitons

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Weizhu Bao

Computational methods for the nonlinear Schroedinger equation with low regularity potential and nonlinearity

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Ricardo Carretero

Dynamical reduction for solitonic filaments

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Luminita Danaila

Scale-by-scale scalar statistics and extreme events in non-equilibrium multicomponent flows

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Michikazu Kobayashi

Superfluidity and phase transition in discrete clock symmetry

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Chunmei Su

High-order parametric local discontinuous Galerkin methods for anisotropic curve-shortening flows

Bartosz Protas

On inviscid instabilities of 2D vortices

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Wei Liu

Computing the action ground states of nonlinear Schrödinger equation

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Ionut Danaila

Numerical models for coupling Navier-Stokes and Gross-Pitaevskii solvers for two-fluid quantum flows

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