42 citations · 123 across the 22 of their papers we have counts for
25 papers
Extension of a mathematical analogy between vortical flows without surface tension and irrotational capillary flows
Valentin D. Kunz, Saleh Tanveer, Darren G. Crowdy
In a recent paper, a mathematical analogy was found between two physically distinct classes of two-dimensional free boundary problems in inviscid fluid mechanics. One class involve…
A mathematical analogy between certain hollow vortex and bubble flows - existence, uniqueness, and identical boundary shapes
Valentin D. Kunz, Saleh Tanveer, Darren G. Crowdy
We study two physically distinct steady free-boundary problems in a two-dimensional inviscid fluid: a hollow vortex in a constant-vorticity flow subject to simple shear, third orde…
Rigorous analytical approximation of tritronquee solution to Painleve-1 and the first singularity
A. Adali, S. Tanveer
We use a recently developed method to determine approximate expression for tritronquée solution for P-1: in a domain with rigorous bounds. In…
Hybrid Basis Scheme for computing Electrostatic fields exterior to close-to-touching discs
D. G. Crowdy, S. Tanveer, T. Delillo
This paper presents a simple and effective new numerical scheme for the computation of electrostatic fields exterior to a collection of close-to-touching discs. The method is prese…
Analysis of 2+1 diffusive-dispersive PDE arising in river braiding
Saleh Tanveer, Charis Tsikkou
We present local existence and uniqueness results for the following dispersive diffusive equation due to P. Hall arising in modeling of river braiding: $$u_{yyt} - γu_{xxx} -…
A quasi-solution approach to nonlinear problems - the case of Blasius similarity solution
O. Costin, T. Kim, S. Tanveer
Using the simple case of Blasius similarity solution, we illustrate a recently developed general method that reduces a strongly nonlinear problem into a weakly nonlinear analysis.…