The Euler equations in planar nonsmooth convex domains

DOI10.1016/j.jmaa.2013.05.005zbMath1306.35135arXiv1212.0036OpenAlexW1985842355MaRDI QIDQ2257510

Francesco Di Plinio, Roger M. Temam, Claude Bardos

Publication date: 25 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0036

zbMATH Keywords

nonsmooth domainsEuler systemendpoint elliptic regularity

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Meteorology and atmospheric physics (86A10) PDEs in connection with geophysics (35Q86) Euler equations (35Q31)

Related Items

Euler equations on general planar domains ⋮ Finite-time singularity formation for strong solutions to the Boussinesq system ⋮ The two dimensional Euler equations on singular exterior domains ⋮ Stability of aerostatic equilibria in porous medium flows ⋮ Uniqueness of positive vorticity solutions to the 2d Euler equations on singular domains ⋮ Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion ⋮ The Euler equations in planar domains with corners ⋮ The 2D compressible Euler equations in bounded impermeable domains with corners ⋮ Uniqueness for Two-Dimensional Incompressible Ideal Flow on Singular Domains ⋮ The 2D Euler-Boussinesq equations in planar polygonal domains with Yudovich's type data ⋮ Uniqueness of the 2D Euler equation on a corner domain with non-constant vorticity around the corner ⋮ Blow up for the 2D Euler equation on some bounded domains

Cites Work

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• Dissipative Euler flows and Onsager's conjecture
• The barotropic mode for the primitive equations
• An inviscid flow with compact support in space-time
• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• Handbook of numerical analysis. Vol XIV. Special volume: Computational methods for the atmosphere and the oceans.
• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• The Neumann problem and Helmholtz decomposition in convex domains
• On the Euler equations of incompressible perfect fluids
• Boundary layers on Sobolev-Besov spaces and Poisson's equation for the Laplacian in Lipschitz domains
• Elliptic partial differential equations of second order
• Un théorème sur l'existence du mouvement plan d'un fluide parfait, homogene, incompressible, pendant un temps infiniment long
• Uniqueness theorem for the basic nonstationary problem in the dynamics on an ideal incompressible fluid
• Singular behavior of elliptic problems in non Hilbertian Sobolev spaces
• Weak solutions with decreasing energy of incompressible Euler equations
• On classical solutions of the two-dimensional non-stationary Euler equation
• Existence et unicité de la solution de l'équation d'Euler en dimension deux
• Vorticity and Incompressible Flow
• Numerical approximation of the inviscid 3D primitive equations in a limited domain
• Potential Space Estimates for Green Potentials in Convex Domains
• The Calderon-Zygmund Decomposition on Product Domains
• Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in 𝐑^{𝐍}
• The dual of Hardy spaces on a bounded domain in ℝ n
• A remark on the characterization of the gradient of a distribution
• Another Proof that Convex Functions are Locally Lipschitz
• Notions of convexity

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