Critical processes of ideal integrable models of Hele-Shaw flows are considered. A regularization method based on multiscaling expansions of solutions of the KdV and Toda hierarchies characterized by string equations is proposed. Examples are exhibited in which the tritronquée solution of the Painlevé-I equation turns out to provide the leading term of the regularization

Rights: © 2014 Wiley-Blackwell. This is the accepted version of the following article: Savin, Hele & Kuivalainen, P. & Novikov, S. & Lebedeva, N. 2014. Magnetic polaron formation in graphene-based single-electron transistor. Physica Status Solidi B. Volume 251, Issue 4. 1-15. DOI: 10.1002/pssb.201350295, which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1002/pssb.2...

In this paper, we discuss a previously unknown selection principle of optimal viscous configurations for immiscible multi-fluid Hele-Shaw flows that have emerged from numerical experiments on threeand four-layer flows. Moreover, numerical investigation on four-layer flows shows evidence of four-layer systems which are almost completely stabilizing. Simple physical mechanisms that explain both o...

Hele-Shaw Ferrohydrodynamics for Simultaneous In-plane Rotating and Vertical DC Magnetic Fields Lorenz, C.1), Rinaldi, C.2) and Zahn, M.1) 1) Department of Electrical Engineering and Computer Science and Laboratory for Electromagnetic and Electronic Systems, Massachusetts Institute of Technology, Cambridge, MA, U.S.A. 2) Department of Chemical Engineering, University of Puerto Rico at Mayagüez,...

THE present work was undertaken as a preliminary step in the investigation of the experimental haemoglobinuria described by Callow and Hele [1927]. These workers found that p-bromoand p-chloro-phenylmercapturic acids, whether given by the mouth or subcutaneously, cause a transient haemoglobinuria in the dog. An attempt was made to find a small animal which would show a similar response to dosag...