Time periodic solutions of compressible Navier-Stokes equations

DOI10.1016/j.jde.2009.11.031zbMath1188.35136OpenAlexW1992495619MaRDI QIDQ963715

Tong Yang, Seiji Ukai, Hongfang Ma

Publication date: 13 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.jde.2009.11.031

zbMATH Keywords

Navier-Stokes equationsenergy methodspectral analysistime periodic solutionoptimal decay estimates

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Cites Work

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• Some estimates of solutions for the equations of motion of compressible viscous fluid in the three-dimensional exterior domain
• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• Time-periodic solutions of the Boltzmann equation
• A combination of energy method and spectral analysis for study of equations of gas motion
• 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
• Decay estimates for the compressible Navier-Stokes equations in unbounded domains
• Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves
• On the motion of a viscous compressible fluid driven by a time-periodic external force
• Global existence and convergence rates for the 3-D compressible Navier-Stokes equations without heat conductivity
• On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics
• OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES

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