Asymptotic expansion for solutions of the Navier-Stokes equations with non-potential body forces

DOI10.1016/j.jmaa.2018.01.065zbMath1394.35130arXiv1707.07829OpenAlexW2963319653MaRDI QIDQ1754567

Vincent R. Martinez, Luan Thach Hoang

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07829

zbMATH Keywords

spatially periodic solutionslong-time dynamicsSobolev-Gevrey spacesFoias-Saut theorynon-potential force

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (8)

Asymptotic expansions for the Lagrangian trajectories from solutions of the Navier-Stokes equations ⋮ Asymptotic expansions in time for rotating incompressible viscous fluids ⋮ Asymptotic expansions in a general system of decaying functions for solutions of the Navier-Stokes equations ⋮ Long-time behaviour of solutions of superlinear systems of differential equations ⋮ NAVIER AND STOKES MEET POINCARÉAND DULAC ⋮ Infinite series asymptotic expansions for decaying solutions of dissipative differential equations with non-smooth nonlinearity ⋮ Asymptotic expansions with exponential, power, and logarithmic functions for non-autonomous nonlinear differential equations ⋮ Long-time asymptotic expansions for Navier-Stokes equations with power-decaying forces

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