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Department of Mathematics & Statistics













AIMS Lab Seminar – Ian Miller – Blow-up in the Magnetic Nonlinear Schrödinger Equation
	
 Mar 18, 2024 
 11:30AM to 12:30PM




































Date/Time

Date(s) - 18/03/2024
11:30 am - 12:30 pm





Date/Time:  Monday, March 18, 2024 (11:30AM – 12:30PM)


Location:  Virtual/Zoom


Zoom Meeting ID:  972 8792 6728


Speaker:  Ian Miller


Title:  Blow-up in the Magnetic Nonlinear Schrödinger Equation


Abstract:  The magnetic nonlinear Schrödinger equation (mNLS) is a variant of the well studied nonlinear Schrödinger equation (NLS) which has attracted increased attention in recent years. The inclusion of a magnetic potential in mNLS interferes with tools which have been used to obtain solutions for NLS which blow up in finite time. Blow-up results have been obtained for mNLS with constant magnetic field. These results relied on the specific structure and symmetry of the magnetic potentials. In this talk we establish the existence of blow-up solutions for mNLS with a class of potentials having no prescribed symmetry.