Self-similar solutions of the Navier-Stokes equations on weak weighted Lorentz spaces

DOI10.1007/s10114-015-3484-5zbMath1307.35198OpenAlexW2008665788MaRDI QIDQ2256570

Jiecheng Chen, Hongliang Li

Publication date: 19 February 2015

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-015-3484-5

zbMATH Keywords

Navier-Stokes equationsself-similar solutionsconvolutionweighted Lorentz spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Navier-Stokes equations (35Q30) Euler equations (35Q31)

Cites Work

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• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Infinite-dimensional dynamical systems in mechanics and physics
• Self-similar solutions in weak \(L^ p\)-spaces of the Navier-Stokes equations
• On the Navier-Stokes initial value problem. I
• Convolution operators and L(p, q) spaces
• On L(p,q) spaces
• Some remarks on convolution operators and \(L(p,q)\) spaces
• On the nonstationary Navier-Stokes systems
• Recent developments in the theory of Lorentz spaces and weighted inequalities
• Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
• Navier-stokes flow in r³with measures as initial vorticity and morrey spaces
• Multipliers and tensor products of the weighted Lorentz spaces ΛGp,q(w)

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