The Hopf bifurcation with symmetry for the Navier-Stokes equations in \((L_ p(\Omega))^ n\), with application to plane Poiseuille flow

DOI10.1007/BF00281352zbMath0686.35010MaRDI QIDQ1262448

Thomas J. Bridges

Publication date: 1989

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

symmetryHopf bifurcationLyapunov-Schmidt methodPoiseuille flowanalytic semigroup

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Navier-Stokes equations (35Q30) Initial value problems for second-order parabolic equations (35K15) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Initial value problems for linear higher-order PDEs (35G10) Bifurcations in context of PDEs (35B32) Higher-order parabolic equations (35K25)

Related Items (4)

Bifurcation of plane voidage waves in fluidized beds ⋮ Bifurcations of Poiseuille flow between parallel plates: Three- dimensional solutions with large spanwise wavelength ⋮ Peristaltic transport of a heat-conducting viscous fluid as an application of abstract differential equations and semigroup of operators ⋮ Existence of solutions for a class of Navier–Stokes equations with infinite delay

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