A model problem for nematic-isotropic transitions with highly disparate elastic constants D Golovaty, M Novack, P Sternberg, R Venkatraman Archive for Rational Mechanics and Analysis 236 (3), 1739-1805, 2020 | 16 | 2020 |
A Ginzburg--Landau-Type Problem for Highly Anisotropic Nematic Liquid Crystals D Golovaty, P Sternberg, R Venkatraman SIAM Journal on Mathematical Analysis 51 (1), 276-320, 2019 | 16 | 2019 |
Evolution of weak shocks in one dimensional planar and non-planar gasdynamic flows VD Sharma, R Venkatraman International Journal of Non-Linear Mechanics 47 (8), 918-926, 2012 | 15 | 2012 |
Diffusive stability of spatially periodic solutions of the Brusselator model A Sukhtayev, K Zumbrun, S Jung, R Venkatraman Communications in Mathematical Physics 358, 1-43, 2018 | 12 | 2018 |
Micromagnetics of galfenol V Dabade, R Venkatraman, RD James Journal of Nonlinear Science 29, 415-460, 2019 | 11 | 2019 |
Periodic orbits of Gross–Pitaevskii in the disc with vortices following point vortex flow R Venkatraman Calculus of Variations and Partial Differential Equations 56, 1-35, 2017 | 7 | 2017 |
Quantitative stability for the Heisenberg–Pauli–Weyl inequality S McCurdy, R Venkatraman Nonlinear Analysis 202, 112147, 2021 | 6 | 2021 |
Homogenization of quasi-crystalline functionals via two-scale-cut-and-project convergence R Ferreira, I Fonseca, R Venkatraman SIAM Journal on Mathematical Analysis 53 (2), 1785-1817, 2021 | 6 | 2021 |
Bounds on the energy of a soft cubic ferromagnet with large magnetostriction R Venkatraman, V Dabade, RD James Journal of Nonlinear Science 30, 3367-3388, 2020 | 6 | 2020 |
Far-field expansions for harmonic maps and the electrostatics analogy in nematic suspensions S Alama, L Bronsard, X Lamy, R Venkatraman Journal of Nonlinear Science 33 (3), 39, 2023 | 5 | 2023 |
Least Wasserstein distance between disjoint shapes with perimeter regularization M Novack, I Topaloglu, R Venkatraman Journal of Functional Analysis 284 (1), 109732, 2023 | 4 | 2023 |
Anisotropic surface tensions for phase transitions in periodic media R Choksi, I Fonseca, J Lin, R Venkatraman Calculus of variations and partial differential equations 61 (3), 107, 2022 | 4 | 2022 |
Complex analytic dependence on the dielectric permittivity in ENZ materials: The photonic doping example RV Kohn, R Venkatraman Communications on Pure and Applied Mathematics 77 (2), 1278-1301, 2024 | 2 | 2024 |
Variational homogenization: Old and new R Ferreira, I Fonseca, R Venkatraman | 1 | 2023 |
Interaction energies in paranematic colloids D Golovaty, J Taylor, R Venkatraman, A Zarnescu arXiv preprint arXiv:2308.06331, 2023 | 1 | 2023 |
Phase separation in heterogeneous media R Cristoferi, I Fonseca, R Venkatraman Research in mathematics of materials science, 367-382, 2022 | 1 | 2022 |
Asymptotic Expansion of the Spectrum for Periodic Schrödinger Operators S Armstrong, R Venkatraman SIAM Journal on Mathematical Analysis 56 (2), 1770-1808, 2024 | | 2024 |
Transverse Magnetic ENZ Resonators: Robustness and Optimal Shape Design RV Kohn, R Venkatraman arXiv preprint arXiv:2403.11242, 2024 | | 2024 |
Dirichlet eigenfunctions with nonzero mean value S Steinerberger, R Venkatraman arXiv preprint arXiv:2312.14122, 2023 | | 2023 |
Optimal convergence rates for the spectrum of the graph Laplacian on Poisson point clouds S Armstrong, R Venkatraman arXiv preprint arXiv:2312.08149, 2023 | | 2023 |