Rearrangements of functions on unbounded domains

DOI10.1017/S0308210500028572zbMath0818.49010MaRDI QIDQ4312024

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Publication date: 23 July 1995

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

unbounded domainrearrangementsvariational functionalmeasure-preserving transformationcurtailments

Mathematics Subject Classification ID

Variational inequalities (49J40) Measure-preserving transformations (28D05) Vortex flows for incompressible inviscid fluids (76B47) Functions of one variable (26A99)

Related Items (13)

General pointwise relations for the relative rearrangement and applications ⋮ Constructive approach to the monotone rearrangement of functions ⋮ A constrained variational problem for an existence theorem of steady vortex rings in Poiseuille flow ⋮ Stability of radially symmetric, monotone vorticities of 2D Euler equations ⋮ A constrained variational problem for an existence theorem of a steady vortex pair in two-phase shear flow ⋮ Asymptotic behaviour of global vortex rings ⋮ Multivalued fixed point index and nonlocal problems involving relative rearrangement ⋮ Nonlinear stability for steady vortex pairs ⋮ Compactness and stability for planar vortex-pairs with prescribed impulse ⋮ Desingularization of vortex rings in 3 dimensional Euler flows ⋮ Asymptotic of Steady Vortex Pair in the Lake Equation ⋮ Steady vortex rings in a uniform flow and rearrangements of a function ⋮ Global solutions for the generalized SQG equation and rearrangements

Cites Work

• Unnamed Item
• The uniqueness of Hill's spherical vortex
• Rearrangements of functions
• Vortex rings in a cylinder and rearrangements
• Symétrie et compacité dans les espaces de Sobolev
• A global theory of steady vortex rings in an ideal fluid
• Measure preserving transformations and rearrangements
• On Reachable Sets and Extremal Rearrangements of Control Functions

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