A connection between symmetry breaking for Sobolev minimizers and stationary Navier-Stokes flows past a circular obstacle

DOI10.1007/s00245-022-09831-wzbMath1493.35066arXiv2112.14122OpenAlexW4206872056MaRDI QIDQ2115128

Gianmarco Sperone, Tobias Weth, Gazzola, Filippo

Publication date: 15 March 2022

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.14122

zbMATH Keywords

symmetry breakingviscous incompressible fluidsbounds for optimal Sobolev constants

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Boundary value problems for systems of nonlinear higher-order PDEs (35G60)

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Cites Work

• Unnamed Item
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• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations
• Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions.
• Uniqueness and bifurcation branches for planar steady Navier-Stokes equations under Navier boundary conditions
• On the steady motion of Navier-Stokes flows past a fixed obstacle in a three-dimensional channel under mixed boundary conditions
• An explicit threshold for the appearance of lift on the deck of a bridge
• Steady Navier-Stokes equations in planar domains with obstacle and explicit bounds for unique solvability
• Equilibrium configuration of a rectangular obstacle immersed in a channel flow
• Solenoidal extensions in domains with obstacles: explicit bounds and applications to Navier-Stokes equations
• Eight(y) mathematical questions on fluids and structures
• Boundary-Layer Theory
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Experiments on the flow past a circular cylinder at low Reynolds numbers
• Solution “in the large” of the nonstationary boundary value problem for the Navier-Stokes system with two space variables
• A remark on the pressure for the Navier–Stokes flows in 2-D straight channel with an obstacle

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