Global solutions for the generalized SQG equation and rearrangements (Q5878223)

scientific article; zbMATH DE number 7655331

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English	Global solutions for the generalized SQG equation and rearrangements	scientific article; zbMATH DE number 7655331

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instance of

scholarly article

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title

Global solutions for the generalized SQG equation and rearrangements (English)

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Transactions of the American Mathematical Society

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publication date

20 February 2023

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full work available at URL

https://arxiv.org/abs/2103.03988

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zbMATH Keywords

global solutions

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gSQG equation

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rearrangement

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energy maximization

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MaRDI profile type

MaRDI publication profile

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cites work

Stability of Lamb dipoles

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Asymptotic behaviour in planar vortex theory

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Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation

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On the topology of three-dimensional steady flows of an ideal fluid

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Existence of steady symmetric vortex pairs on a planar domain with an obstacle

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Vortex rings in R <sup>3</sup> and rearrangements

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Existence et unicité de la solution de l'équation d'Euler en dimension deux

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Global regularity for vortex patches

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A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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Nonuniqueness of Weak Solutions to the SQG Equation

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Motions of vortex patches

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Compactness via symmetrization

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Rearrangements of functions, maximization of convex functionals, and vortex rings

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Steady symmetric vortex pairs and rearrangements

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Variational problems on classes of rearrangements and multiple configurations for steady vortices

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Rearrangements of functions, saddle points and uncountable families of steady configurations for a vortex

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Uniqueness for the circular vortex-pair in a uniform flow

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Isoperimetric properties of Lamb's circular vortex-pair

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Global nonlinear stability for steady ideal fluid flow in bounded planar domains

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Compactness and stability for planar vortex-pairs with prescribed impulse

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Nonlinear stability for steady vortex pairs

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Surface waves on steady perfect-fluid flows with vorticity

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Traveling vortex pairs for 2D incompressible Euler equations

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Desingularization of vortex rings in 3 dimensional Euler flows

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Desingularization of Vortices for Two-Dimensional Steady Euler Flows via the Vorticity Method

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On the global classical solutions for the generalized SQG equation

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Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations

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Uniformly rotating analytic global patch solutions for active scalars

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Uniformly rotating smooth solutions for the incompressible 2D Euler equations

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Global Smooth Solutions for the Inviscid SQG Equation

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Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar

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Growth of solutions for QG and 2D Euler equations

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Evidence of singularities for a family of contour dynamics equations

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Asymptotic of Steady Vortex Pair in the Lake Equation

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Desingularization of a steady vortex pair in the lake equation

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Doubly connected V-states for the generalized surface quasi-geostrophic equations

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Existence de Nappes de Tourbillon en Dimension Deux

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Concentrations in regularizations for 2‐D incompressible flow

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Rearrangements of functions on unbounded domains

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Imperfect bifurcation for the quasi-geostrophic shallow-water equations

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Rearrangements in Steady Vortex Flows with Circulation

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Q4868487

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Global Bifurcation of Rotating Vortex Patches

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Small-scale creation for solutions of the SQG equation

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Existence of corotating and counter-rotating vortex pairs for active scalar equations

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Finite time singularity for the modified SQG patch equation

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The $N$-vortex problem. Analytical techniques

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Identifiers

DOI

10.1090/tran/8835

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5878223