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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.

Host institution

SORBONNE UNIVERSITE
Net EU contribution
€ 1 499 905,00
Address
21 Rue De L'ecole De Medecine
75006 Paris
France

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Region
Ile-de-France Ile-de-France Paris
Activity type
Higher or Secondary Education Establishments
Other funding
€ 0,00

Beneficiaries (2)

SORBONNE UNIVERSITE
France
Net EU contribution
€ 1 499 905,00
Address
21 Rue De L'ecole De Medecine
75006 Paris

See on map

Region
Ile-de-France Ile-de-France Paris
Activity type
Higher or Secondary Education Establishments
Other funding
€ 0,00
LUDWIG-MAXIMILIANS-UNIVERSITAET MUENCHEN

Participation ended

Germany
Net EU contribution
€ 0,00
Address
Geschwister Scholl Platz 1
80539 Muenchen
Region
Bayern Oberbayern München, Kreisfreie Stadt
Activity type
Higher or Secondary Education Establishments
Other funding
€ 0,00