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Pressure estimates in two-dimensional incompressible fluid flow

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Publication:1969881
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DOI10.1016/S0167-2789(99)00174-8zbMath0964.76011MaRDI QIDQ1969881

Peter Miles Topping

Publication date: 16 July 2001

Published in: Physica D (Search for Journal in Brave)


zbMATH Keywords

energyNavier-Stokes equationsEuler equationsangular momentumenstrophyspherical flowsperiodic planar flowspressure estimatestwo-dimensional incompressible fluid flow


Mathematics Subject Classification ID

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




Cites Work

  • Large solutions to the volume constrained Plateau problem
  • Estimations of the best constant involving the \(L^ \infty\) norm in Wente's inequality
  • The optimal constant in Wente's \(L^\infty\) estimate
  • Compensated compactness and Hardy spaces
  • Groups of diffeomorphisms and the motion of an incompressible fluid
  • Multiple solutions ofH-systems and Rellich's conjecture
  • Wave and vortex dynamics on the surface of a sphere
  • Unnamed Item


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