Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Noel J. Walkington"'
Autor:
Noel J. Walkington
Publikováno v:
SIAM Review. 65:539-562
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e55ea1893aaf21abed61ecca29d6923d
https://doi.org/10.1137/21m1390037
https://doi.org/10.1137/21m1390037
Publikováno v:
Mathematics and Mechanics of Solids. 27:989-1010
Accretion and ablation, i.e., the addition and removal of mass at the surface, are important in a wide range of physical processes, including solidification, growth of biological tissues, environmental processes, and additive manufacturing. The descr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e7f3b42d2e2c2452c8b7ab6143fdfc0f
https://doi.org/10.1177/10812865211054573
https://doi.org/10.1177/10812865211054573
Publikováno v:
Stochastics and Partial Differential Equations: Analysis and Computations.
The numerical analysis of stochastic parabolic partial differential equations of the form $$\begin{aligned} du + A(u)\, dt = f \,dt + g \, dW, \end{aligned}$$ d u + A ( u ) d t = f d t + g d W , is surveyed, where A is a nonlinear partial operator an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b9090f3e4b28dcbe0a2e2d4caaf39ad2
https://doi.org/10.1007/s40072-022-00271-9
https://doi.org/10.1007/s40072-022-00271-9
Autor:
Mochong Duan, Noel J. Walkington
Publikováno v:
Quarterly of Applied Mathematics. 79:695-715
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea40728a1165176e510b989f631b83c8
https://doi.org/10.1090/qam/1598
https://doi.org/10.1090/qam/1598
Autor:
Noel J. Walkington, Brian Seguin
Publikováno v:
Archive for Rational Mechanics and Analysis. 235:2171-2196
An axiomatic foundation for models of multi-component multiphase porous flow appearing ubiquitously in the engineering literature is developed. This unifies and extends various disparate and empirical formulations appearing in the literature. Constit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6bf47f75dfb64ec42c7d3016321f03e4
https://doi.org/10.1007/s00205-019-01473-7
https://doi.org/10.1007/s00205-019-01473-7
Autor:
Brian Seguin, Noel J. Walkington
Publikováno v:
Journal of Elasticity. 135:485-507
An axiomatic development for a continuum description of a multi-component multiphase porous flow in an elastic medium is developed. The Coleman–Noll procedure is used to derive constitutive restrictions which guarantee that the resulting model sati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d5d7c5023b360a6362bc2939109d6c3
https://doi.org/10.1007/s10659-018-09721-9
https://doi.org/10.1007/s10659-018-09721-9
Autor:
Thomas J. Murphy, Noel J. Walkington
Publikováno v:
SIAM Journal on Numerical Analysis. 57:527-546
Implicit Euler approximations of the equations governing the porous flow of two immiscible incompressible fluids are shown to be the Euler--Lagrange equations of a convex function. Tools from conve...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af4f0292e56a3f8bacdf14c43925cde8
https://doi.org/10.1137/17m1160744
https://doi.org/10.1137/17m1160744
Growth occurs in a wide range of systems ranging from biological tissue to additive manufacturing. This work considers surface growth, in which mass is added to the boundary of a continuum body from the ambient medium or from within the body. In cont
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5ff11d68ea1c8e33e78982b89613dc5
Publikováno v:
Liquid Crystals. 45:1084-1100
Motivated by recent experiments, the isotropic–nematic phase transition in chromonic liquid crystals is studied. As temperature decreases, nematic nuclei nucleate, grow and coalesce, giving rise to...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b0ed4582cb8bcc3880f2578dd7e0736b
https://doi.org/10.1080/02678292.2017.1410240
https://doi.org/10.1080/02678292.2017.1410240
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 51:1119-1144
Stable finite element schemes are developed for the solution of the equations modeling the flow of viscoelastic fluids. In contrast with classical statements of these equations, which introduce the stress as a primary variable, these schemes explicit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc95ed849ec049408538f0c4d1e12cfd
https://doi.org/10.1051/m2an/2016053
https://doi.org/10.1051/m2an/2016053