96 citations · 484 across the 29 of their papers we have counts for
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math.NA2019★ 8 cited
Complex Far-Field Geometries Determine the Stability of Solid Tumor Growth with Chemotaxis
Min-Jhe Lu, Chun Liu, John Lowengrub +1
In this paper, we develop a sharp interface tumor growth model to study the effect of the tumor microenvironment using a complex far-field geometry that mimics a heterogeneous dist…
math.NA2019★ 3 cited
Convergence analysis of a numerical scheme for the porous medium equation by an energetic variational approach
Chenghua Duan, Chun Liu, Cheng Wang +1
The porous medium equation (PME) is a typical nonlinear degenerate parabolic equation. We have studied numerical methods for PME by an energetic variational approach in [C. Duan et…
math.NA2019★ 38 cited
On Lagrangian schemes for porous medium type generalized diffusion equations: a discrete energetic variational approach
Chun Liu, Yiwei Wang
In this paper, we present a systematic framework to derive a Lagrangian scheme for porous medium type generalized diffusion equations by employing a discrete energetic variational…