Bubble and Profile Decompositions Methods: a common Thread through many Works in Geometry, Physics and Fluid Mechanics - Archive ouverte HAL
Article Dans Une Revue Morningside Lectures in Mathematics Année : 2022

Bubble and Profile Decompositions Methods: a common Thread through many Works in Geometry, Physics and Fluid Mechanics

Résumé

Bubble and profile decompositions methods are a powerful tool, which is deeply connected with compactness issues in function spaces. The spectrum of their applications is quite broad and encompass in particular questions in geometry, mathematical physics and fluid mechanics. In this text, we survey the fundamental principles of this theory and showcase its various applications by presenting a few landmark articles.
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hal-03404992 , version 1 (26-10-2021)

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  • HAL Id : hal-03404992 , version 1

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Hajer Bahouri, Zeyu Lyu, Francois Vigneron. Bubble and Profile Decompositions Methods: a common Thread through many Works in Geometry, Physics and Fluid Mechanics. Morningside Lectures in Mathematics, 2022, Lectures on the Analysis of Nonlinear Partial Differential Equations, 6. ⟨hal-03404992⟩
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