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Novel techniques for quantitative behaviour of convection-diffusion equations

Project description

Understanding natural processes through partial differential equations

Physical laws are mathematically encoded into Partial Differential Equations (PDEs). They tell us how certain quantities – like heat, water, or cars – depend on position and time. Precise information on the fundamental processes of the natural world is based to a large extent on PDEs; in turn, these processes will hint at solutions to mathematical problems. The EU-funded techFRONT project will study fine properties of irregular solutions of certain PDEs. Project research will seek to answer if initially irregular solutions become regular after some time, and if the PDEs are well-posed for growing (large) initial data. It will also investigate how solutions behave in the most quantitative way, by using explicit barriers or by understanding the long-time behaviour of the PDEs.

Coordinator

UNIVERSIDAD AUTONOMA DE MADRID
Net EU contribution
€ 172 932,48
Address
Calle Einstein 3 Ciudad Univ Cantoblanco Rectorado
28049 Madrid
Spain

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Region
Comunidad de Madrid Comunidad de Madrid Madrid
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00