Optimality of the decay estimate of solutions to the linearised curl-free compressible Navier-Stokes equations

DOI10.1007/s00021-023-00837-0arXiv2303.06891OpenAlexW4388660738MaRDI QIDQ6184831

Tsukasa Iwabuchi, Dáithí Ó hAodha

Publication date: 29 January 2024

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.06891

zbMATH Keywords

linearised problemBesov normbarotropic three-dimensional flowlarge-time decay estimate

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Compressible Navier-Stokes equations (76N06)

Cites Work

• Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical \(L^{p}\) framework
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
• Global existence in critical spaces for compressible Navier-Stokes equations
• Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations.
• Fourier Analysis and Nonlinear Partial Differential Equations
• Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow

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