Amplitude–phase decompositions and the growth and decay of solutions of the incompressible Navier–Stokes and Euler equations

DOI10.1142/S0218202513500759zbMath1292.35208OpenAlexW2071123498MaRDI QIDQ5411775

Thomas J. R. Hughes

Publication date: 25 April 2014

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202513500759

zbMATH Keywords

Navier-Stokes equationsEuler equationsblow-upincompressible flowamplitude-phase decompositions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fundamentals of turbulence (76F02) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Cites Work

• Unnamed Item
• On the spectral dynamics of the deformation tensor and new a priori estimates for the 3D Euler equations
• Hausdorff measure and the Navier-Stokes equations
• Vorticity and Incompressible Flow
• Turbulent Flows
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet

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