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09/12/2023
An Alternating Direction Implicit Method for Mean Curvature Flows
This paper is concerned with the mean curvature flow, which describes th...
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02/16/2023
Second order convergence of a modified MAC scheme for Stokes interface problems
Stokes flow equations have been implemented successfully in practice for...
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02/16/2023
Kernel-free boundary integral method for two-phase Stokes equations with discontinuous viscosity on staggered grids
A discontinuous viscosity coefficient makes the jump conditions of the v...
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09/27/2022
Phase field modeling and computation of vesicle growth or shrinkage
We present a phase field model for vesicle growth or shrinkage induced b...
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01/16/2022
Numerical study on viscous fingering using electric fields in a Hele-Shaw cell
We investigate the nonlinear dynamics of a moving interface in a Hele-Sh...
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07/24/2021
Nonlinear simulation of vascular tumor growth with chemotaxis and the control of necrosis
In this paper, we develop a sharp interface tumor growth model to study ...
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07/09/2021
Sharp-interface problem of the Ohta-Kawasaki model for symmetric diblock copolymers
The Ohta-Kawasaki model for diblock-copolymers is well known to the scie...
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12/10/2019
Complex far-field geometries determine the stability of solid tumor growth with chemotaxis
In this paper, we develop a sharp interface tumor growth model to study ...
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12/10/2019