Chaozhen Wei
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View article: Primal-dual splitting methods for phase-field surfactant model with moving contact lines
Primal-dual splitting methods for phase-field surfactant model with moving contact lines Open
Surfactants have important effects on the dynamics of droplets on solid surfaces, which has inspired many industrial applications. Phase-field surfactant model with moving contact lines (PFS-MCL) has been employed to investigate the comple…
View article: Efficient Primal-dual Forward-backward Splitting Method for Wasserstein-like Gradient Flows with General Nonlinear Mobilities
Efficient Primal-dual Forward-backward Splitting Method for Wasserstein-like Gradient Flows with General Nonlinear Mobilities Open
We construct an efficient primal-dual forward-backward (PDFB) splitting method for computing a class of minimizing movement schemes with nonlinear mobility transport distances, and apply it to computing Wasserstein-like gradient flows. Thi…
View article: Structure preserving primal dual methods for gradient flows with nonlinear mobility transport distances
Structure preserving primal dual methods for gradient flows with nonlinear mobility transport distances Open
We develop structure preserving schemes for a class of nonlinear mobility continuity equation. When the mobility is a concave function, this equation admits a form of gradient flow with respect to a Wasserstein-like transport metric. Our n…
View article: Inferring relative surface elastic moduli in thin-wall models of single cells
Inferring relative surface elastic moduli in thin-wall models of single cells Open
There is a growing interest in measuring the cell wall mechanical property at different locations in single walled cells. We present an inference scheme that maps relative surface elastic modulus distributions along the cell wall based on …
View article: Self-similar tip growth links exocytosis profile with cell wall shape
Self-similar tip growth links exocytosis profile with cell wall shape Open
Exocytosis plays a crucial role in regulating the growth and migration of filamentous tip-growing cells. We present a mathematical framework that infers the spatial profile of exocytosis from the cell morphology in self-similar growing cel…
View article: Primal Dual Methods for Wasserstein Gradient Flows
Primal Dual Methods for Wasserstein Gradient Flows Open
Combining the classical theory of optimal transport with modern operator splitting techniques, we develop a new numerical method for nonlinear, nonlocal partial differential equations, arising in models of porous media, materials science, …
View article: Nonlinear modeling reveals multi-timescale and higher-order effects in active tissue mechanics
Nonlinear modeling reveals multi-timescale and higher-order effects in active tissue mechanics Open
Cell proliferation, apoptosis, and myosin-dependent contraction can generate elastic stress and strain in living tissues, which may be dissipated by tissue rearrangement through cell topological transition and cytoskeletal reorganization. …
View article: An Eulerian nonlinear elastic model for compressible and fluidic tissue with radially symmetric growth
An Eulerian nonlinear elastic model for compressible and fluidic tissue with radially symmetric growth Open
Cell proliferation, apoptosis, and myosin-dependent contraction can generate elastic stress and strain in living tissues, which may be dissipated by internal rearrangement through cell topological transition and cytoskeletal reorganization…
View article: Bound states in the continuum are universal under the effect of minimal length
Bound states in the continuum are universal under the effect of minimal length Open
Bound states in the continuum (BICs) are generally considered unusual phenomena. In this work, we provide a method to analyze the spatial structure of particle's bound states in the presence of a minimal length, which can be used to find B…
View article: Grain Boundary Triple Junction Dynamics: A Continuum Disconnection Model
Grain Boundary Triple Junction Dynamics: A Continuum Disconnection Model Open
The microstructure of polycrystalline materials consists of networks of grain boundaries (GBs) and triple junctions (TJs), along which three GBs meet. The evolution of such microstructures may be driven by surface tension (capillarity), ap…
View article: Grain boundary triple junction dynamics: a continuum disconnection model
Grain boundary triple junction dynamics: a continuum disconnection model Open
The microstructure of polycrystalline materials consists of networks of grain boundaries (GBs) and triple junctions (TJs), along which three GBs meet. The evolution of such microstructures may be driven by surface tension (capillarity), ap…
View article: Disconnection description of triple-junction motion
Disconnection description of triple-junction motion Open
Significance Many materials of industrial and scientific interest (including metals and ceramics) are polycrystalline. The defect microstructure of these materials has a profound impact on their properties and utility. Microstructure engin…
View article: Primal dual methods for Wasserstein gradient flows
Primal dual methods for Wasserstein gradient flows Open
Combining the classical theory of optimal transport with modern operator splitting techniques, we develop a new numerical method for nonlinear, nonlocal partial differential equations, arising in models of porous media, materials science, …
View article: Bound states in the continuum of fractional Schrödinger equation in the Earth's gravitational field and their effects in the presence of a minimal length: applications to distinguish ultralight particles
Bound states in the continuum of fractional Schrödinger equation in the Earth's gravitational field and their effects in the presence of a minimal length: applications to distinguish ultralight particles Open
In this paper, the influence of the fractional dimensions of the Lévy path under the Earth's gravitational field is studied, and the phase transitions of energy and wave functions are obtained: the energy changes from discrete to continuou…
View article: mD transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots
mD transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots Open
We construct a Fokker–Planck reaction (FPR) model to investigate the dynamics of the coupled epitaxial growth and shape transition process of an array of quantum dots (QDs). The FPR model is based on a coupled system of Fokker–Planck equat…
View article: D transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots
D transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots Open
We construct a Fokker–Planck reaction (FPR) model to investigate the dynamics of the coupled epitaxial growth and shape transition process of an array of quantum dots (QDs). The FPR model is based on a coupled system of Fokker–Planck equat…
View article: uD transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots
uD transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots Open
We construct a Fokker–Planck reaction (FPR) model to investigate the dynamics of the coupled epitaxial growth and shape transition process of an array of quantum dots (QDs). The FPR model is based on a coupled system of Fokker–Planck equat…
View article: bmA transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots
bmA transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots Open
We construct a Fokker–Planck reaction (FPR) model to investigate the dynamics of the coupled epitaxial growth and shape transition process of an array of quantum dots (QDs). The FPR model is based on a coupled system of Fokker–Planck equat…
View article: bA transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots
bA transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots Open
We construct a Fokker–Planck reaction (FPR) model to investigate the dynamics of the coupled epitaxial growth and shape transition process of an array of quantum dots (QDs). The FPR model is based on a coupled system of Fokker–Planck equat…
View article: mD_mu transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots
mD_mu transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots Open
We construct a Fokker–Planck reaction (FPR) model to investigate the dynamics of the coupled epitaxial growth and shape transition process of an array of quantum dots (QDs). The FPR model is based on a coupled system of Fokker–Planck equat…
View article: Supplementary material from "A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots"
Supplementary material from "A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots" Open
We construct a Fokker–Planck reaction (FPR) model to investigate the dynamics of the coupled epitaxial growth and shape transition process of an array of quantum dots (QDs). The FPR model is based on a coupled system of Fokker–Planck equat…
View article: umD transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots
umD transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots Open
We construct a Fokker–Planck reaction (FPR) model to investigate the dynamics of the coupled epitaxial growth and shape transition process of an array of quantum dots (QDs). The FPR model is based on a coupled system of Fokker–Planck equat…
View article: D_mu transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots
D_mu transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots Open
We construct a Fokker–Planck reaction (FPR) model to investigate the dynamics of the coupled epitaxial growth and shape transition process of an array of quantum dots (QDs). The FPR model is based on a coupled system of Fokker–Planck equat…
View article: H transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots
H transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots Open
We construct a Fokker–Planck reaction (FPR) model to investigate the dynamics of the coupled epitaxial growth and shape transition process of an array of quantum dots (QDs). The FPR model is based on a coupled system of Fokker–Planck equat…
View article: mH_mu transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots
mH_mu transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots Open
We construct a Fokker–Planck reaction (FPR) model to investigate the dynamics of the coupled epitaxial growth and shape transition process of an array of quantum dots (QDs). The FPR model is based on a coupled system of Fokker–Planck equat…
View article: bH transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots
bH transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots Open
We construct a Fokker–Planck reaction (FPR) model to investigate the dynamics of the coupled epitaxial growth and shape transition process of an array of quantum dots (QDs). The FPR model is based on a coupled system of Fokker–Planck equat…
View article: bmH transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots
bmH transition data from A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots Open
We construct a Fokker–Planck reaction (FPR) model to investigate the dynamics of the coupled epitaxial growth and shape transition process of an array of quantum dots (QDs). The FPR model is based on a coupled system of Fokker–Planck equat…