Convex integration constructions in hydrodynamics (Q5146569)

scientific article; zbMATH DE number 7301372

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English	Convex integration constructions in hydrodynamics	scientific article; zbMATH DE number 7301372

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instance of

scholarly article

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title

Convex integration constructions in hydrodynamics (English)

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Bulletin of the American Mathematical Society

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publication date

26 January 2021

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zbMATH Keywords

fluid dynamics

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convex integration

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Navier-Stokes equations

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magnetohydrodynamics equations

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weak solution

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mild solution

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distributional solution

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Onsager conjecture

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1090/bull/1713

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cites work

Topological methods in hydrodynamics

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Stability of Two-Dimensional Viscous Incompressible Flows under Three-Dimensional Perturbations and Inviscid Symmetry Breaking

0 references

Non-uniqueness for the Euler equations: the effect of the boundary

0 references

The vanishing viscosity as a selection principle for the Euler equations: the case of 3D shear flow

0 references

Q5821719

0 references

Weak solutions of ideal MHD which do not conserve magnetic helicity

0 references

Wild solutions for 2D incompressible ideal flow with passive tracer

0 references

Onsager's conjecture almost everywhere in time

0 references

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

0 references

Dissipative Euler Flows with Onsager-Critical Spatial Regularity

0 references

Onsager's Conjecture for Admissible Weak Solutions

0 references

Nonuniqueness of Weak Solutions to the SQG Equation

0 references

Convex integration and phenomenologies in turbulence

0 references

Nonuniqueness of weak solutions to the Navier-Stokes equation

0 references

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

0 references

Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD

0 references

Q4210480

0 references

Energy conservation and Onsager's conjecture for the Euler equations

0 references

Energy conservation in two-dimensional incompressible ideal fluids

0 references

Inviscid dyadic model of turbulence: The fixed point and Onsager’s conjecture

0 references

On the Energy Equality for Weak Solutions of the 3D Navier-Stokes Equations

0 references

Energy equality for the Navier–Stokes equations in weak-in-time Onsager spaces

0 references

Euler Equations and Turbulence: Analytical Approach to Intermittency

0 references

A counterexample to well-posedness of entropy solutions to the compressible Euler system

0 references

Global Ill‐Posedness of the Isentropic System of Gas Dynamics

0 references

On the weak solutions to the equations of a compressible heat conducting gas

0 references

\(h\)-principles for the incompressible Euler equations

0 references

Ill-posedness of Leray solutions for the hypodissipative Navier-Stokes equations

0 references

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

0 references

Q4040820

0 references

Inviscid Limit for SQG in Bounded Domains

0 references

Inviscid limit for damped and driven incompressible Navier-Stokes equations in \(\mathbb R^2\)

0 references

Lack of uniqueness for weak solutions of the incompressible porous media equation

0 references

Non-uniqueness and prescribed energy for the continuity equation

0 references

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

0 references

An Introduction to Magnetohydrodynamics

0 references

A Voyage Through Turbulence

0 references

The Euler equations as a differential inclusion

0 references

On admissibility criteria for weak solutions of the Euler equations

0 references

The ℎ-principle and the equations of fluid dynamics

0 references

Dissipative continuous Euler flows

0 references

Dissipative Euler flows and Onsager's conjecture

0 references

High dimensionality and h-principle in PDE

0 references

On turbulence and geometry: from Nash to Onsager

0 references

Infinitely many Leray–Hopf solutions for the fractional Navier–Stokes equations

0 references

On the Helicity conservation for the incompressible Euler equations

0 references

Compensated Compactness and General Systems of Conservation Laws

0 references

Ordinary differential equations, transport theory and Sobolev spaces

0 references

Oscillations and concentrations in weak solutions of the incompressible fluid equations

0 references

Applied Analysis of the Navier-Stokes Equations

0 references

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

0 references

Inéquations en thermoélasticité et magnétohydrodynamique

0 references

Q4542031

0 references

Helicity is the only integral invariant of volume-preserving transformations

0 references

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

0 references

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

0 references

Onsager and the theory of hydrodynamic turbulence

0 references

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

0 references

Proof of Taylor's conjecture on magnetic helicity conservation

0 references

Statistical study of Navier-Stokes equations. I

0 references

Statistical study of Navier-Stokes equations. II

0 references

Q2734157

0 references

Q4857359

0 references

On the Navier-Stokes initial value problem. I

0 references

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

0 references

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

0 references

CONVEX INTEGRATION OF DIFFERENTIAL RELATIONS. I

0 references

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

0 references

A proof of Onsager's conjecture

0 references

On nonperiodic Euler flows with Hölder regularity

0 references

Hölder continuous solutions of active scalar equations

0 references

Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions

0 references

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

0 references

Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box

0 references

Remarks on the magnetic helicity and energy conservation for ideal magneto-hydrodynamics

0 references

Studying Nonlinear pde by Geometry in Matrix Space

0 references

Q3245939

0 references

On Nash’s unique contribution to analysis in just three of his papers

0 references

0 references

0 references

0 references

0 references

Pressure integrability conditions for uniqueness of mild solutions of the Navier--Stokes system

0 references

Role of the pressure for validity of the energy equality for solutions of the Navier-Stokes equation

0 references

The fractal dimension of the singular set for solutions of the Navier–Stokes system

0 references

Q5589555

0 references

Q4782579

0 references

The Navier-Stokes Problem in the 21st Century

0 references

Conditions Implying Energy Equality for Weak Solutions of the Navier--Stokes Equations

0 references

Quelques résultats d'existence dans des équations aux dérivées partielles non linéaires

0 references

Sur la régularité et l'unicité des solutions turbulentes des équations de Navier-Stokes

0 references

Q4389323

0 references

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

0 references

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

0 references

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

0 references

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

0 references

Vorticity and Incompressible Flow

0 references

Mathematical theory of incompressible nonviscous fluids

0 references

The multifractal nature of turbulent energy dissipation

0 references

Convex integration solutions to the transport equation with full dimensional concentration

0 references

Non-uniqueness for the transport equation with Sobolev vector fields

0 references

Non-renormalized solutions to the continuity equation

0 references

The degree of knottedness of tangled vortex lines

0 references

Q3515491

0 references

Convex integration for Lipschitz mappings and counterexamples to regularity

0 references

\(C^1\) isometric imbeddings

0 references

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

0 references

The Partial Regularity Theory of Caffarelli, Kohn, and Nirenberg and its Sharpness

0 references

Un teorema di unicita per le equazioni di Navier-Stokes

0 references

The Three-Dimensional Navier–Stokes Equations

0 references

Decay of weak solutions and the singular set of the three-dimensional Navier–Stokes equations

0 references

Partial regularity of solutions to the Navier-Stokes equations

0 references

Hausdorff measure and the Navier-Stokes equations

0 references

An inviscid flow with compact support in space-time

0 references

Some mathematical questions related to the mhd equations

0 references

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

0 references

Q5723392

0 references

The Energy Equation for the Navier–Stokes System

0 references

Weak solutions with decreasing energy of incompressible Euler equations

0 references

Q4392740

0 references

Lectures on the Onsager conjecture

0 references

Convex integration for a class of active scalar equations

0 references

Homogeneous solutions to the 3D Euler system

0 references

On the fine-scale intermittency of turbulence

0 references

An update on the energy dissipation rate in isotropic turbulence

0 references

Bounds on energy flux for finite energy turbulence

0 references

Weak solutions to the incompressible Euler equations with vortex sheet initial data

0 references

Relaxation of the incompressible porous media equation

0 references

Q3878033

0 references

Q3320728

0 references

Q4841248

0 references

Lectures on Navier-Stokes Equations

0 references

Q5175613

0 references

Q4175797

0 references

Existence of weak solutions for the incompressible Euler equations

0 references

Inviscid symmetry breaking with non-increasing energy

0 references

Weak-Strong Uniqueness in Fluid Dynamics

0 references

ON HYDROMAGNETIC EQUILIBRIUM

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A THEOREM ON FORCE-FREE MAGNETIC FIELDS

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Identifiers

zbMATH Open document ID

1461.35186

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DOI

10.1090/bull/1713

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5146569