Existence and smoothness results for a new class of \(n\)-dimensional Navier-Stokes equations

DOI10.1216/RMJ-2019-49-5-1595zbMath1428.35296MaRDI QIDQ2326034

Rim Jday, Zennir Khaled, Svetlin G. Georgiev

Publication date: 4 October 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1568880092

zbMATH Keywords

Navier-Stokes equationsglobal existence

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Navier-Stokes equations for incompressible viscous fluids (76D05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Navier-Stokes equations (35Q30)

Related Items (2)

Results on existence for generalized \(nD\) Navier-Stokes equations ⋮ Unnamed Item

Cites Work

• A class of expansive-type Krasnosel'skii fixed point theorems
• Comparison between lattice Boltzmann method and Navier-Stokes high order schemes for computational aeroacoustics
• Stabilized stress-velocity-pressure finite element formulations of the Navier-Stokes problem for fluids with non-linear viscosity
• High-order prediction--correction algorithms for unilateral contact problems
• Pure Lagrangian and semi-Lagrangian finite element methods for the numerical solution of Navier-Stokes equations
• Compact fourth-order finite volume method for numerical solutions of Navier-Stokes equations on staggered grids
• On the behaviour of the ANM continuation in the presence of bifurcations
• A finite element approximation of the unsteady two‐dimensional Navier–Stokes equations

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