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Standing waves near the Kolmogorov flow

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Publication:960706
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DOI10.1134/S1064562407020275zbMath1175.35105MaRDI QIDQ960706

Andrei L. Afendikov, Stefan Liebscher, Bernold Fiedler

Publication date: 19 January 2009

Published in: Doklady Mathematics (Search for Journal in Brave)



Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)




Cites Work

  • Unnamed Item
  • Generic Hopf bifurcation from lines of equilibria without parameters. I: Theory
  • Wave-solutions of reversible systems and applications
  • Bifurcations of Poiseuille flow between parallel plates: Three- dimensional solutions with large spanwise wavelength
  • Reduction of quasilinear elliptic equations in cylindrical domains with applications
  • Generic Hopf Bifurcation From Lines of Equilibria Without Parameters: II. Systems of Viscous Hyperbolic Balance Laws
  • GENERIC HOPF BIFURCATION FROM LINES OF EQUILIBRIA WITHOUT PARAMETERS III: BINARY OSCILLATIONS
  • Multi-phase solutions to the Navier-Stokes problem between parallel plates


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