CORDIS Project
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This project investigates the qualitative properties of nonlinear Partial Differential Equations related to fluid mechanics, focusing on specific 1D hydrodynamic models. It explores finite time blow-up solutions and global existence theorems, contributing to the understanding of fluid dynamics through advanced mathemat…
The present project aims at studying qualitative properties of some nonlinear Partial Differential Equations arising in fluid mechanics.
It is divided into 3 parts.Part 1 and Part 2 address the study of some classes of 1D hydrodynamic models, namely, the inviscd Surface Quasi-Gesotrophic equation (SQG) and the generalized Constantin-Lax-Majda (gCLM) equation.
Both models are closely related to the 3D Euler equation written in terms of the vorticity and are therefore mathematically interesting.…
AGENCIA ESTATAL CONSEJO SUPERIOR DE INVESTIGACIONES CIENTIFICAS
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