The Cauchy problem for nonhomogeneous Navier-Stokes equations in \(L^q([0,T);L^p)\)

DOI10.1007/BF02720491zbMath0929.76029OpenAlexW2321494526MaRDI QIDQ1806065

Yong-geng Gu, Chang Xing Miao

Publication date: 2 February 2000

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

Full work available at URL: https://doi.org/10.1007/bf02720491

zbMATH Keywords

unique local solutioninfinite cylinderspace-time estimates

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
• Solutions in \(L_ r\) of the Navier-Stokes initial value problem
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• On the Navier-Stokes initial value problem. I
• The initial value problem for the Navier-Stokes equations with data in L\(^p\)
• Boundary Value Problems for the Navier-Stokes Equations
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