Global Large Solutions to the Three Dimensional Compressible Navier--Stokes Equations

DOI10.1137/19M1265843zbMath1456.35171OpenAlexW3016603462MaRDI QIDQ5107192

Fujun Zhou, Yongsheng Li, Xiaoping Zhai

Publication date: 17 April 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1265843

zbMATH Keywords

compressible Navier-Stokes equations, global large solutionsLittlewood-Paley theory, weighted Chemin-Lerner technique

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) A priori estimates in context of PDEs (35B45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Strong solutions to PDEs (35D35)

Related Items (13)

Global solutions to the 3D compressible Navier–Stokes equations with a class of special initial data ⋮ Global regularity for the incompressible Oldroyd-B model with only stress tensor dissipation in critical \(L^p\) framework ⋮ Global large solutions and incompressible limit for the compressible Navier-Stokes equations ⋮ Global well-posedness for the full compressible Navier-Stokes equations ⋮ Long-time behavior for three dimensional compressible viscousand heat-conductive gases ⋮ The Cauchy Problem for the \(\boldsymbol{N}\)-Dimensional Compressible Navier–Stokes Equations without Heat Conductivity ⋮ Large global solutions of the compressible Navier-Stokes equations in three dimensions ⋮ Well-posedness of mild solutions for the fractional Navier-Stokes equations in Besov spaces ⋮ Global solutions to the 2D compressible Navier-Stokes equations with some large initial data ⋮ Global large solutions and optimal time-decay estimates to the Korteweg system ⋮ Global large solutions to the two-dimensional compressible Navier-Stokes equations ⋮ Local and some type of large solutions for the chemotaxis-fluid equations with partial dissipation ⋮ Global large solutions and incompressible limit for the compressible Navier-Stokes system with capillarity

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