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Profile
Shankar Venkataramani
Professor, Applied Mathematics - GIDP | Member of the Graduate Faculty | Professor, Mathematics
Mathematics
Full Page
Overview
Research
More
Collaboration
(12)
Hao Zhang
Mutual work: 1 Proposal
Collaboration Details
Nirav Merchant
Mutual work: 1 Proposal
Collaboration Details
Michael Chertkov
Mutual work: 1 Proposal
Collaboration Details
Joceline Lega
Mutual work: 1 Proposal
Collaboration Details
Pierre Deymier
Mutual work: 1 Proposal
Collaboration Details
Page 1 of 3
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Grants
(10)
NSF-BSF: Nonlinearity, Randomness, and Dynamics: Vistas into the Extreme Mechanics of Non-Euclidean sheets
Active
·
2021
·
$240K
·
External
Principal Investigator (PI)
mechanics,
nonlinearity,
randomness,
dynamics,
materials
Collaborative Research: GCR: Collective Behavior and Patterning of Topological Defects: from String Theory to Crystal Plasticity
Active
·
2020
·
$165.3K / $194.5K
·
External
Principal Investigator (PI)
collective behavior,
topological defects,
string theory,
crystal plasticity,
collaborative research
Exotic Continua: Geometry, Topology and Mechanics in Soft Matter
2020
·
$300K
·
External
Principal Investigator (PI)
soft matter,
geometry,
topology,
mechanics,
exotic continua
The Role of Weak forces in the self-similar buckling of non-Euclidean elastic sheets
2019
·
$797 / $4K
·
External
Co-Investigator (COI)
buckling,
elasticity,
non-euclidean geometry,
material science,
weak forces
Exotic Continua: Geometry, Topology, Dynamics and Growth in Soft Matter
2018
·
$73.4K
·
External
Principal Investigator (PI)
geometry,
topology,
dynamics,
soft matter,
growth
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Publications
(61)
Recent
The universal behavior of modulated stripe patterns
2023
pattern formation,
modulation,
universal behavior,
stripe patterns,
physics
Corrigendum: Target patterns in a 2D array of oscillators with nonlocal coupling 2018 Nonlinearity 31 4162)
2022
oscillator dynamics,
nonlocal coupling,
pattern formation,
corrigendum,
2-d arrays
An SBV relaxation of the Cross-Newell energy for modeling stripe patterns and their defects
2022
pattern formation,
energy modeling,
defects,
sbv relaxation,
stripe patterns
Distributed Branch Points and the Shape of Elastic Surfaces with Constant Negative Curvature
2021
material science,
elasticity,
topology,
geometry,
physics
Remarks on the range and multiple range of a random walk uto the time of exit
2021
random walk,
probability theory,
stochastic processes,
mathematical analysis,
exit time
Disk galaxies and their dark halos as self-organized patterns
2021
galactic structure,
dark matter,
self-organization,
astrophysics,
galaxy evolution
A Modified Split Bregman Algorithm for Computing Microstructures Through Young Measures
2021
computational imaging,
optimization,
material science,
image processing,
mathematical modeling
Pattern dark matter and galaxy scaling relations
2021
dark matter,
galaxy scaling relations,
galactic structure,
cosmology,
astrophysics
Nature’s forms are frilly, flexible, and functional
2021
natural forms,
flexibility,
functional design,
biomimicry,
material science
Computing with non-orientable defects: nematics, smectics and natural patterns
2021
computing,
liquid crystals,
non-orientable,
defects,
natural patterns