Summary
The goal of this project is to pursue new methods in the mathematical analysis of non-local and non-linear
partial differential equations. For this purpose we present several physical scenarios of interest in the context
of incompressible fluids, from a mathematical point of view as well as for its applications: both from the
standpoint of global well-posedness, existence and uniqueness of weak solutions and as candidates for blowup.
The equations we consider are the incompressible Euler equations, incompressible porous media equation
and the generalized Quasi-geostrophic equation. This research will lead to a deeper understanding of the nature
of the set of initial data that develops finite time singularities as well as those solutions that exist for all time for incompressible flows.
partial differential equations. For this purpose we present several physical scenarios of interest in the context
of incompressible fluids, from a mathematical point of view as well as for its applications: both from the
standpoint of global well-posedness, existence and uniqueness of weak solutions and as candidates for blowup.
The equations we consider are the incompressible Euler equations, incompressible porous media equation
and the generalized Quasi-geostrophic equation. This research will lead to a deeper understanding of the nature
of the set of initial data that develops finite time singularities as well as those solutions that exist for all time for incompressible flows.
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More information & hyperlinks
| Web resources: | https://cordis.europa.eu/project/id/788250 |
| Start date: | 01-09-2018 |
| End date: | 31-08-2024 |
| Total budget - Public funding: | 1 779 369,00 Euro - 1 779 369,00 Euro |
Cordis data
Original description
The goal of this project is to pursue new methods in the mathematical analysis of non-local and non-linearpartial differential equations. For this purpose we present several physical scenarios of interest in the context
of incompressible fluids, from a mathematical point of view as well as for its applications: both from the
standpoint of global well-posedness, existence and uniqueness of weak solutions and as candidates for blowup.
The equations we consider are the incompressible Euler equations, incompressible porous media equation
and the generalized Quasi-geostrophic equation. This research will lead to a deeper understanding of the nature
of the set of initial data that develops finite time singularities as well as those solutions that exist for all time for incompressible flows.
Status
SIGNEDCall topic
ERC-2017-ADGUpdate Date
27-04-2024
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