Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Shibin Dai"'
Publikováno v:
Results in Applied Mathematics, Vol 12, Iss , Pp 100195- (2021)
The Functionalized Cahn–Hilliard equation has been proposed as a model for the interfacial energy of phase-separated mixtures of amphiphilic molecules. We study the existence of a nonnegative weak solutions of a gradient flow of the Functionalized
Externí odkaz:
https://doaj.org/article/3e7cad851a3045759765159a38032537
Publikováno v:
Multiscale Modeling & Simulation. 20:1127-1146
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6339db3b85e531241cdd4f473a305183
https://doi.org/10.1137/21m1467791
https://doi.org/10.1137/21m1467791
Autor:
Shibin Dai, Toai Luong
Publikováno v:
Nonlinear Differential Equations and Applications NoDEA. 30
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ae17cd3097abc3702c42b84de24f716
https://doi.org/10.1007/s00030-023-00854-y
https://doi.org/10.1007/s00030-023-00854-y
Publikováno v:
Results in Applied Mathematics, Vol 12, Iss, Pp 100195-(2021)
The Functionalized Cahn–Hilliard equation has been proposed as a model for the interfacial energy of phase-separated mixtures of amphiphilic molecules. We study the existence of a nonnegative weak solutions of a gradient flow of the Functionalized
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2894f0cc23f3bd8bda71406073d11052
http://www.sciencedirect.com/science/article/pii/S2590037421000406
http://www.sciencedirect.com/science/article/pii/S2590037421000406
Publikováno v:
SIAM Journal on Applied Mathematics. 80:2299-2317
We study analytically and numerically the minimizers for the Cahn--Hilliard energy functional with a symmetric quartic double-well potential and under a strong anchoring condition (i.e., the Dirich...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b6ca43878c6df7fdbbec2d133e5b9c8
https://doi.org/10.1137/19m1309651
https://doi.org/10.1137/19m1309651
Autor:
Shibin Dai
Publikováno v:
Communications in Mathematical Sciences. 18:293-320
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a0746343f4ceaba287a7a9b7e07b99e
https://doi.org/10.4310/cms.2020.v18.n2.a1
https://doi.org/10.4310/cms.2020.v18.n2.a1
Publikováno v:
Applicable Analysis. 100:1-16
The functionalized Cahn–Hilliard free energy describes phase separation in mixtures of amphiphilic molecules in solvent. Applications to highly amphiphilic molecules such as lipids requires degener...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2aaf965ac402c8acd295699f5ca04137
https://doi.org/10.1080/00036811.2019.1585536
https://doi.org/10.1080/00036811.2019.1585536
Autor:
Keith Promislow, Shibin Dai
We present a modified form of the Functionalized Cahn–Hilliard (FCH) functional which models highly amphiphilic systems in solvent. A molecule is highly amphiphilic if the energy of a molecule isolated within the bulk solvent molecule is prohibitiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::283936ce72f2e16fd04300f956739cd5
Autor:
Shibin Dai, Qiang Du
Publikováno v:
Journal of Computational Physics. 310:85-108
We study computationally coarsening rates of the Cahn-Hilliard equation with a smooth double-well potential, and with phase-dependent diffusion mobilities. The latter is a feature of many materials systems and makes accurate numerical simulations cha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22b7aff76914ddd1a232efb610a817a6
https://doi.org/10.1016/j.jcp.2016.01.018
https://doi.org/10.1016/j.jcp.2016.01.018
Autor:
Qiang Du, Shibin Dai
Publikováno v:
Archive for Rational Mechanics and Analysis. 219:1161-1184
In this paper, we study the well-posedness of Cahn–Hilliard equations with degenerate phase-dependent diffusion mobility. We consider a popular form of the equations which has been used in phase field simulations of phase separation and microstruct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79a82cb34d887b87a145bf99ef29b60b
https://doi.org/10.1007/s00205-015-0918-2
https://doi.org/10.1007/s00205-015-0918-2