3 papers
math.DS2025
On non-existence of bifurcations in one-dimensional Bratu equation
Shrinidhi S. Pandurangi, Utkarsh S. Nikam
In this paper, we revisit the classical problem of Bratu differential equation in one-dimension. While it is known that the finite difference discretized form of continuous Bratu e…
nlin.PS2020
Stable Spatially Localized Configurations in a Simple Structure -- A Global Symmetry-Breaking Approach
Shrinidhi S. Pandurangi, Ryan S. Elliott, Timothy J. Healey +1
We revisit the classic stability problem of the buckling of an inextensible, axially compressed beam on a nonlinear elastic foundation with a semi-analytical approach to understand…
cond-mat.soft2019
Hidden Asymptotic Symmetry in Long Elastic Beams on Softening Foundations
Shrinidhi S. Pandurangi, Timothy J. Healey, Nicolas Triantafyllidis
Transverse wrinkles are known to appear in thin rectangular elastic sheets when stretched in the long direction. Numerically computed bifurcation diagrams for extremely thin, highl…