Zobrazeno 1 - 10
of 129
pro vyhledávání: '"Sharma, Basant Lal"'
Autor:
Garnier, Josselin, Sharma, Basant Lal
We study the propagation of surface waves across structured surfaces with random, localized inhomogeneities. A discrete analogue of Gurtin-Murdoch model is employed and surface elasticity, in contrast to bulk elasticity, is captured by distinct point
Externí odkaz:
http://arxiv.org/abs/2407.05056
Autor:
Novikov, Roman, Sharma, Basant Lal
We consider multi-frequency inverse source problem for the discrete Helmholtz operator on the square lattice $\mathbb{Z}^d$, $d \ge 1$. We consider this problem for the cases with and without phase information. We prove uniqueness results and present
Externí odkaz:
http://arxiv.org/abs/2401.14103
Autor:
Sharma, Basant Lal
In current scientific and technological scenario, studies of transmittance of surface waves across structured interfaces have gained some wind amidst applications to metasurfaces, electronic edge-waves, crystal grain boundaries, etc. The results pres
Externí odkaz:
http://arxiv.org/abs/2309.08552
Autor:
Garnier, Josselin, Sharma, Basant Lal
We consider a one-dimensional mono-atomic lattice with random perturbations of masses spread over a finite number of particles. Assuming Newtonian dynamics and linear nearest-neighbour interactions and allowing for a provision of pinning due to subst
Externí odkaz:
http://arxiv.org/abs/2309.03090
In this work, we present a computational formulation based on continuum mechanics to study the interaction of fluid membranes embedded with semiflexible filaments. This is motivated by systems in membrane biology, such as cytoskeletal networks and pr
Externí odkaz:
http://arxiv.org/abs/2308.12104
Autor:
Novikov, Roman, Sharma, Basant Lal
We consider scattering for the discrete Schr\"{o}dinger operator on the square lattice $\mathbb{Z}^d$, $d \ge 1$, with compactly supported potential. We give formulas for finding the phased scattering amplitude from phaseless near-field scattering da
Externí odkaz:
http://arxiv.org/abs/2307.06041
We revisit the notion of parametrization invariance while introducing certain weakened notions of invariance in the calculus of variations. In this work, we employ a straightforward approach in the classical setting and mostly restrict attention to f
Externí odkaz:
http://arxiv.org/abs/2305.17379
Autor:
Sharma, Basant Lal, Saxena, Prashant
We derive the equations of nonlinear magnetoelastostatics using several variational formulations involving the mechanical deformation and an independent field representing the magnetic component. An equivalence is also discussed, modulo certain bound
Externí odkaz:
http://arxiv.org/abs/2009.07075
Autor:
Sharma, Basant Lal
A family of equilibria corresponding to dislocation-dipole, with variable separation between the two dislocations of opposite sign, is constructed in a one dimensional lattice model. A suitable path connecting certain members of this family is found
Externí odkaz:
http://arxiv.org/abs/2009.05591
Autor:
Sharma, Basant Lal, Basak, Nirupam
In the framework of nonlinear theory of Cosserat elasticity, also called micropolar elasticity, we provide the complete characterization of null Lagrangians for three dimensional bodies as well as for shells. Using the Gibb's rotation vector for desc
Externí odkaz:
http://arxiv.org/abs/2009.03490