Research focus
About the research
Complex fluids and biological transport processes require mathematical descriptions that connect behavior across scales.
Read the full research overview
Liu investigates nonlinear partial differential equations, variational methods, and multiscale modeling to address these systems. His listed projects include moving interfaces, diffusion, ionic fluids, and ion channels. Research connects the mathematical structure of models with applications in biophysics and materials science. These directions examine how continuum descriptions represent systems with interacting components, linking foundational questions about equations to physical problems involving flow, charge transport, and material organization.
Selected publications
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