Exact solutions of Rayleigh's equation and sufficient conditions for inviscid instability of parallel, bounded shear flows

DOI10.1007/BF00991900zbMath0819.76027MaRDI QIDQ1338720

Radhakrishnan Srinivasan

Publication date: 20 November 1994

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessnonlinear integral equationcomplex eigenvalueadjoint eigenfunction

Mathematics Subject Classification ID

Parallel shear flows in hydrodynamic stability (76E05)

Related Items (7)

Periodic solutions of Rayleigh equations with singularities ⋮ Periodic solutions of some second-order differential equations with desultorily sublinear nonlinearities ⋮ Periodic solutions of Rayleigh equations via time-maps ⋮ A continuation lemma and its applications to periodic solutions of Rayleigh differential equations with subquadratic potential conditions ⋮ Positive periodic solutions of coupled singular Rayleigh systems ⋮ Existence and infinity of periodic solutions of some second order differential equations with isochronous potentials ⋮ A graph-theoretic method to study the existence of periodic solutions for a coupled Rayleigh system via inequality techniques

Cites Work

• Unnamed Item
• Note on a paper of John W. Miles
• On the linear stability of inviscid incompressible plane parallel flow
• Necessary and Sufficient Condition for the Stability of Plane Parallel Inviscid Flow

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