Bifurcation analysis for axisymmetric capillary water waves with vorticity and swirl

Autor:	André H. Erhardt, Erik Wahlén, Jörg Weber
Rok vydání:	2022
Předmět:	Physics::Fluid Dynamics Mathematics - Analysis of PDEs Applied Mathematics FOS: Mathematics 35B07 35B32 76B15 76B45 76B47 Analysis of PDEs (math.AP)
Zdroj:	Studies in applied mathematics (Cambridge, Mass.). 149(4)
ISSN:	0022-2526
Popis:	We study steady axisymmetric water waves with general vorticity and swirl, subject to the influence of surface tension. This can be formulated as an elliptic free boundary problem in terms of Stokes' stream function. A change of variables allows us to overcome the generic coordinate-induced singularities and to cast the problem in the form "identity plus compact," which is amenable to Rabinowitz's global bifurcation theorem, whereas no restrictions regarding the absence of stagnation points in the flow have to be made. Within the scope of this new formulation, local curves and global families of solutions, bifurcating from laminar flows with a flat surface, are constructed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b19f036dc947e9e538f9db048240c487 https://pubmed.ncbi.nlm.nih.gov/36605702 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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