Vectorial variational problems in L ∞ constrained by the Navier–Stokes equations* (Q5019945)

scientific article; zbMATH DE number 7455606

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English	Vectorial variational problems in L <sup>∞</sup> constrained by the Navier–Stokes equations*	scientific article; zbMATH DE number 7455606

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instance of

scholarly article

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title

Vectorial variational problems in L ∞ constrained by the Navier–Stokes equations* (English)

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author

Ed Clark

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Boris Muha

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Nikolaos I. Katzourakis

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published in

Nonlinearity

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publication date

11 January 2022

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full work available at URL

https://arxiv.org/abs/2105.06547

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zbMATH Keywords

Navier-Stokes equations

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calculus of variations in $L^\infty$

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PDE-constrained optimisation

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Euler-Lagrange equations

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Aronsson-Euler systems

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data assimilation

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MaRDI profile type

MaRDI publication profile

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cites work

Q4493625

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On the strong solvability of the Navier-Stokes equations

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On the lower semicontinuity of supremal functional under differential constraints

0 references

Minimization problems for the functional $\displaystyle{\sup_x}\, F(x,f(x),f'(x))$. I, II

0 references

$L ^{\infty }$ variational problems with running costs and constraints

0 references

Vectorial variational principles in $L^\infty$ and their characterisation through PDE systems

0 references

A pointwise characterisation of the PDE system of vectorial calculus of variations in L∞

0 references

Viscosity solutions of stationary Hamilton-Jacobi equations and minimizers of $L^{\infty }$ functionals

0 references

Minimizing theL∞Norm of the Gradient with an Energy Constraint

0 references

The Euler equation and absolute minimizers of $L^\infty$ functionals

0 references

Lower semicontinuity of $L^\infty$ functionals.

0 references

Continuous data assimilation with stochastically noisy data

0 references

$\Gamma$-Convergence of Power-Law Functionals, Variational Principles in $L^{\infty},$ and Applications

0 references

Q2997127

0 references

Almost Sure Error Bounds for Data Assimilation in Dissipative Systems with Unbounded Observation Noise

0 references

Γ-convergence and absolute minimizers for supremal functionals

0 references

Vector optimization. Set-valued and variational analysis.

0 references

$\mathcal{D}$-solutions to the system of vectorial calculus of variations in $L^\infty$ via the singular value problem

0 references

Direct methods in the calculus of variations

0 references

Hitchhiker's guide to the fractional Sobolev spaces

0 references

A variational data assimilation procedure for the incompressible Navier-Stokes equations in hemodynamics

0 references

Young Measures and Compactness in Measure Spaces

0 references

Abridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field

0 references

A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics

0 references

Dielectric breakdown: optimal bounds

0 references

$L^p$-estimates for solutions to the instationary Navier-Stokes-equations in dimension two

0 references

An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs

0 references

Solutions for semilinear parabolic equations in $L^ p$ and regularity of weak solutions of the Navier-Stokes system

0 references

Abstract $L^ p$ estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains

0 references

An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞

0 references

Generalised solutions for fully nonlinear PDE systems and existence-uniqueness theorems

0 references

An $L^\infty$ Regularization Strategy to the Inverse Source Identification Problem for Elliptic Equations

0 references

A minimisation problem in L∞ with PDE and unilateral constraints

0 references

Inverse Optical Tomography through PDE Constrained Optimization $L^\infty$

0 references

Existence, uniqueness and structure of second order absolute minimisers

0 references

On the numerical approximation of p‐biharmonic and ∞‐biharmonic functions

0 references

Data assimilation for the Navier-Stokes-$\alpha $ equations

0 references

Lower semicontinuity and relaxation of nonlocal $L^\infty$-functionals

0 references

Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data

0 references

Minimizers of a weighted maximum of the Gauss curvature

0 references

Uniqueness of absolute minimizers for $L^\infty$-functionals involving Hamiltonians $H(x,p)$

0 references

A relaxation result in the vectorial setting and power law approximation for supremal functionals

0 references

Existence of Minimizers for NonLevel Convex Supremal Functionals

0 references

DATA ASSIMILATION FOR NAVIER-STOKES USING THE LEAST-SQUARES FINITE-ELEMENT METHOD

0 references

Estimates for solutions of nonstationary Navier-Stokes equations

0 references

Q2743226

0 references

Q4169288

0 references

Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers.

0 references

Q3706043

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Identifiers

zbMATH Open document ID

1481.35307

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DOI

10.1088/1361-6544/ac372a

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:5019945

Vectorial variational problems in L <sup>∞</sup> constrained by the Navier–Stokes equations* (Q5019945)

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Sitelinks

Mathematics(1 entry)