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Low-regularity and high oscillations: numerical analysis and computation of dispersive evolution equations

Project description

Low-regularity and high oscillations: computation of dispersive equations (LAHACODE)

Partial differential equations (PDEs) play a central role in mathematics, allowing us to describe physical phenomena ranging from ultra-cold atoms up to ultra-hot matter, from learning algorithms to fluids in the human brain. To understand nature we have to understand their qualitative behavior and compute reliably their numerical approximation. While linear problems and smooth solutions are nowadays well understood, a reliable description of ‘non-smooth’ phenomena remains a challenging open problem. The overall ambition of the ERC-funded project LAHACODE is to make a crucial step towards closing this gap by deeply embedding the underlying structure of resonances into the numerical discretisation. This will allow us to link the finite dimensional discretisation to powerful existence results for nonlinear PDEs at low regularity.

Call for proposal

ERC-2019-STG
See other projects for this call

Host institution

SORBONNE UNIVERSITE
Address
21 Rue De L'ecole De Medecine
75006 Paris
France
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 1 499 905

Beneficiaries (2)

SORBONNE UNIVERSITE
France
EU contribution
€ 1 499 905
Address
21 Rue De L'ecole De Medecine
75006 Paris
Activity type
Higher or Secondary Education Establishments
LUDWIG-MAXIMILIANS-UNIVERSITAET MUENCHEN

Participation ended

Germany
EU contribution
€ 0
Address
Geschwister Scholl Platz 1
80539 Muenchen
Activity type
Higher or Secondary Education Establishments