A class of global large solutions to the compressible Navier-Stokes-Korteweg system in critical Besov spaces

DOI10.1007/s00028-020-00565-2zbMath1464.35269OpenAlexW3008051356MaRDI QIDQ2021536

Shunhang Zhang

Publication date: 27 April 2021

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-020-00565-2

zbMATH Keywords

Littlewood-Paley theorycritical Besov spacesglobal well-posednesscompressible Navier-Stokes-Korteweg system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (9)

On the well-posedness of the compressible Navier-Stokes-Korteweg system with special viscosity and capillarity ⋮ Large-time behavior of solutions in the critical spaces for the non-isentropic compressible Navier-Stokes equations with capillarity ⋮ Global smooth solutions of 3‐D Navier‐Stokes‐Korteweg equations with large initial data ⋮ The global solvability of the non-conservative viscous compressible two-fluid model with capillarity effects for some large initial data ⋮ Global existence and analyticity of \(L^p\) solutions to the compressible fluid model of Korteweg type ⋮ Global large solutions and optimal time-decay estimates to the Korteweg system ⋮ Global large solutions to the 3-D generalized incompressible Navier-Stokes equations ⋮ Resolvent estimates for a compressible fluid model of Korteweg type and their application ⋮ Global large solutions and incompressible limit for the compressible Navier-Stokes system with capillarity

Cites Work

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