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Sharp nonuniqueness for the Navier-Stokes equations (Q2162739)

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Language	Label	Description	Also known as
English	Sharp nonuniqueness for the Navier-Stokes equations	scientific article

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scholarly article

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Sharp nonuniqueness for the Navier-Stokes equations (English)

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zbMATH Open document ID

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10.1007/s00222-022-01116-x

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Alexey Cheskidov

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Inventiones Mathematicae

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publication date

9 August 2022

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full work available at URL

https://arxiv.org/abs/2009.06596

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

incompressible Navier-Stokes equations

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weak solutions

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MaRDI profile type

MaRDI publication profile

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Non-uniqueness of Leray solutions of the forced Navier-Stokes equations

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On the strong solvability of the Navier-Stokes equations

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Remarks on the breakdown of smooth solutions for the 3-D Euler equations

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Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1

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Onsager's Conjecture for Admissible Weak Solutions

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Anomalous dissipation for \(1/5\)-Hölder Euler flows

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Dissipative Euler Flows with Onsager-Critical Spatial Regularity

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Convex integration constructions in hydrodynamics

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Onsager's conjecture almost everywhere in time

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Nonuniqueness of weak solutions to the Navier-Stokes equation

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Nonuniqueness of Weak Solutions to the SQG Equation

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Partial regularity of suitable weak solutions of the navier-stokes equations

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About weak-strong uniqueness for the 3D incompressible Navier-Stokes system

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On the critical one component regularity for 3-D Navier-Stokes system

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Nonuniqueness of weak solutions for the transport equation at critical space regularity

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Energy conservation and Onsager's conjecture for the Euler equations

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Estimates on fractional higher derivatives of weak solutions for the Navier-Stokes equations

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Typicality results for weak solutions of the incompressible Navier–Stokes equations

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Onsager's conjecture on the energy conservation for solutions of Euler's equation

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Non-uniqueness for the Euler equations up to Onsager's critical exponent

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Non-uniqueness and \(h\)-principle for Hölder-continuous weak solutions of the Euler equations

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Cauchy problem for dissipative Hölder solutions to the incompressible Euler equations

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The Euler equations as a differential inclusion

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Dissipative continuous Euler flows

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Dissipative Euler flows and Onsager's conjecture

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Partial regularity of solutions to the four-dimensional Navier-Stokes equations at the first blow-up time

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Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations

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<i>L</i><sub>3,∞</sub>-solutions of the Navier-Stokes equations and backward uniqueness

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Energy dissipation without viscosity in ideal hydrodynamics. I: Fourier analysis and local energy transfer

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The initial value problem for the Navier-Stokes equations with data in L\(^p\)

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On the Navier-Stokes initial value problem. I

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Uniqueness for mild solutions of Navier-Stokes equations in \(L^3(\mathbb{R}^3)\) and other limit functional spaces

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On global infinite energy solutions to the Navier-Stokes equations in two dimensions

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Blow-up of critical Besov norms at a potential Navier-Stokes singularity

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Multipliers, paramultipliers, and weak-strong uniqueness for the Navier-Stokes equations

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Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet

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Holder Continuous Euler Flows in Three Dimensions with Compact Support in Time

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A proof of Onsager's conjecture

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Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space?

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Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions

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Well-posedness for the Navier-Stokes equations

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REMARK ON UNIQUENESS OF WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS

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EXAMPLE OF NONUNIQUENESS IN THE HOPF CLASS OF WEAK SOLUTIONS FOR THE NAVIER-STOKES EQUATIONS

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The Navier-Stokes Problem in the 21st Century

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UNIQUENESS OF MILD SOLUTIONS OF THE NAVIER-STOKES SYSTEM IN LN

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Non-uniqueness of weak solutions to hyperviscous Navier-Stokes equations: on sharpness of J.-L. Lions exponent

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Stationary solutions and nonuniqueness of weak solutions for the Navier-Stokes equations in high dimensions

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Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations

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Weak solutions of Navier-Stokes equations

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Non-uniqueness for the transport equation with Sobolev vector fields

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Uniqueness of mild solutions of the Navier-Stokes equation and maximal Lp-regularity

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\(C^1\) isometric imbeddings

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Nonuniqueness of Weak Solutions to the 3 Dimensional Quasi-Geostrophic Equations

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Weak solutions to the Navier-Stokes inequality with arbitrary energy profiles

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Un teorema di unicita per le equazioni di Navier-Stokes

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The Three-Dimensional Navier–Stokes Equations

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Partial regularity of solutions to the Navier-Stokes equations

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Hausdorff measure and the Navier-Stokes equations

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The Navier-Stokes equations on a bounded domain

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A solution to the Navier-Stokes inequality with an internal singularity

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Nearly one dimensional singularities of solutions to the Navier-Stokes inequality

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An inviscid flow with compact support in space-time

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On the interior regularity of weak solutions of the Navier-Stokes equations

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On the singular set and the uniqueness of weak solutions of the Navier- Stokes equations

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On partial regularity results for the navier-stokes equations

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Partially regular weak solutions of the Navier-Stokes equations in \(\mathbb{R}^4 \times [0,\infty[\)

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