Well-posedness for the Navier-Stokes equations with data in homogeneous Sobolev-Lorentz spaces

DOI10.1016/j.na.2016.10.015zbMath1358.35093arXiv1601.01742OpenAlexW2232016662MaRDI QIDQ346608

D. Q. Khai, Nguyen Minh Tri

Publication date: 29 November 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.01742

zbMATH Keywords

Navier-Stokes equationsmild solutionsexistence and uniquenesshomogeneous Sobolev-Lorentz spaces

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Well-posedness for the Navier-Stokes equations with data in homogeneous Sobolev-Lorentz spaces ⋮ Well-posedness for the Navier-Stokes equations with datum in the Sobolev spaces ⋮ The Cauchy problem for fractional Navier-Stokes equations in Sobolev spaces ⋮ On regularity of weak solutions for the Navier–Stokes equations in general domains ⋮ On the uniqueness of mild solutions to the time-fractional Navier-Stokes equations in \(L^N(\mathbb{R}^N)^N\) ⋮ Well-posedness for the Navier-Stokes equations with datum in Sobolev-Fourier-Lorentz spaces ⋮ Time decay rates of the \(L^3\)-norm for strong solutions to the Navier-Stokes equations in \(\mathbb{R}^3\) ⋮ The implementation of the mortar spectral element discretization of the heat equation with discontinuous diffusion coefficient

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