Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Shawn W. Walker"'
Autor:
Edison E. Chukwuemeka, Shawn W. Walker
Publikováno v:
Advances in Applied Mathematics and Mechanics. 14:1-32
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::868ef5c78c9b5a98a63c9b789ac7c805
https://doi.org/10.4208/aamm.oa-2021-0075
https://doi.org/10.4208/aamm.oa-2021-0075
Autor:
Runa Koizumi, Dmitry Golovaty, Ali Alqarni, Shawn W. Walker, Yuriy A. Nastishin, M. Carme Calderer, Oleg D. Lavrentovich
Publikováno v:
Soft Matter. 18:7258-7268
Nuclei of ordered materials emerging from the isotropic state usually show a shape topologically equivalent to a sphere; the well-known examples are crystals and nematic liquid crystal droplets. In this work, we explore experimentally and theoretical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99a10cc1c5e05d634325923d275a2d54
https://doi.org/10.1039/d2sm00712f
https://doi.org/10.1039/d2sm00712f
Autor:
Shawn W. Walker
Publikováno v:
IMA Journal of Numerical Analysis. 42:3094-3134
We present a mixed finite element method for approximating a fourth-order elliptic partial differential equation (PDE), the Kirchhoff plate equation, on a surface embedded in ${\mathbb {R}}^{3}$, with or without boundary. Error estimates are given in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38fa84d67377c1e8e643fc58531ddd8d
https://doi.org/10.1093/imanum/drab062
https://doi.org/10.1093/imanum/drab062
Autor:
Shawn W. Walker
Publikováno v:
Computational Methods in Applied Mathematics. 22:227-243
We establish several useful estimates for a non-conforming 2-norm posed on piecewise linear surface triangulations with boundary, with the main result being a Poincaré inequality. We also obtain equivalence of the non-conforming 2-norm posed on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::029b93b65e2816e3b963d2d131669fe6
https://doi.org/10.1515/cmam-2020-0123
https://doi.org/10.1515/cmam-2020-0123
Publikováno v:
Numerische Mathematik. 145:837-881
We consider the one-constant Landau-de Gennes model for nematic liquid crystals. The order parameter is a traceless tensor field $$\mathbf{Q}$$ , which is constrained to be uniaxial: $$\mathbf{Q}= s (\mathbf{n}\otimes \mathbf{n}- d^{-1}\mathbf{I})$$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf0dd93ebbe7b2b9e50e48a3c15b7c4a
https://doi.org/10.1007/s00211-020-01133-z
https://doi.org/10.1007/s00211-020-01133-z
Autor:
Shawn W. Walker
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 54:1181-1220
We consider the generalized Ericksen model of liquid crystals, which is an energy with 8 independent “elastic”constants that depends on two order parameters n (director) and s (variable degree of orientation). In addition, we present a new finite
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::32790578dd3273bb9897a67843d2b483
https://doi.org/10.1051/m2an/2019092
https://doi.org/10.1051/m2an/2019092
We present a numerical method, based on a tensor order parameter description of a nematic phase, that allows fully anisotropic elasticity. Our method thus extends the Landau-de Gennes $\mathbf{Q}$-tensor theory to anisotropic phases. A microscopic mo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38757c29e27201875a9335ba5eb5c899
http://arxiv.org/abs/2105.13317
http://arxiv.org/abs/2105.13317
Autor:
Antoine Laurain, Shawn W. Walker
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We develop a framework and numerical method for controlling the full space-time tube of a geometrically driven flow. We consider an optimal control problem for the mean curvature flow of a curve or surface with a volume constraint, where the control
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18cb2ec2684f8ab4ae8da98831a3f00a
Publikováno v:
Geometric Partial Differential Equations-Part II ISBN: 9780444643056
This chapter is about the modeling of nematic liquid crystals (LCs) and their numerical simulation. We begin with an overview of the basic physics of LCs and discuss some of their many applications. Next, we delve into the modeling arguments needed t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::65c8f03d87205db9fadef0b8eb601813
https://doi.org/10.1016/bs.hna.2020.09.001
https://doi.org/10.1016/bs.hna.2020.09.001
Publikováno v:
Physical review. E, vol 101, iss 2-1
Unraveling the mechanisms of packing of DNA inside viral capsids is of fundamental importance to understanding the spread of viruses. It could also help develop new applications to targeted drug delivery devices for a large range of therapies. In thi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0711e55e2c942e4fd425fea60fe02540
https://doi.org/10.1103/physreve.101.022703
https://doi.org/10.1103/physreve.101.022703