This paper proposes a novel computational modeling approach to investigate the fluid-
structure interactions with moving contact lines. By embracing the generalized Onsager …

This study introduces a phase-field model designed to simulate the interaction and
aggregation of multicellular systems under flow conditions within a bounded spatial domain …

We propose an unconditionally energy-stable, orthonormality-preserving, component-wise
splitting iterative scheme for the Kohn-Sham gradient flow based model in the electronic …

Phase-field models are widely used in studying multiphase flow dynamics. Given the
complexity and strong nonlinearity, designing accurate, efficient, and stable numerical …

This study introduces a mathematical model for electrolytic chemical reactions, employing
an energy variation approach grounded in classical thermodynamics. Our model combines …

We consider the capillary folding of thin elastic sheets with pinned contact lines in three
dimensions. The folding occurs due to the interaction between the elastic sheet and a …

This paper explores the micro-macro modeling of polymeric fluids using the proposed
microscopic elastic-plastic (EP) potential energy, in order to illustrate the effects of …

Dynamics of individual and collective cells with fluid flow is an important and attractive topic
in both the areas of fluid science and biomedical engineering. The kinetic theory-based …

We introduce a novel computational framework designed to explore the dynamic
interactions between fluid and solid particles or structures immersed in a viscous fluid …

A thermodynamically consistent phase-field model is introduced for simulating multicellular
deformation, and aggregation under flow conditions. In particular, a Lennard-Jones type …