Yuanzhen Shao

Assistant Professor

The University of Alabama

United States

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Dr. Yuanzhen Shao is an Assistant Professor at The University of Alabama, USA. His research focuses on advanced mathematical modeling, particularly in the areas of fluid dynamics, thermodynamics, and solvation models. Recent publications include works on the Navier-Stokes equations on manifolds, magnetoviscoelastic fluids in three dimensions, and the fractional porous medium equation with conical singularities.

Articles (13)

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2025

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2024

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2023

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2023

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2023

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2023

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2022

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2022

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2022

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2022

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2021

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2021

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2020

Collaborators (3)

Gieri Simonett

Professor

Vanderbilt University

UNITED STATES

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Shan Zhao

Professor

The University of Alabama

UNITED STATES

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Hengrong Du

Assistant Professor

Fisk University

UNITED STATES

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Yuanzhen Shao

Research Interests

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About

Articles (13)

The Navier-Stokes equations on manifolds with boundary

On a thermodynamically consistent model for magnetoviscoelastic fluids in 3D

Well-posedness for magnetoviscoelastic fluids in 3D

A new approach to constrained total variation solvation models and the study of solute-solvent interface profiles

Convergence of a diffuse interface Poisson-Boltzmann (PB) model to the sharp interface PB model: A unified regularization formulation

The fractional porous medium equation on manifolds with conical singularities II

A regularization approach for solving the super-Gaussian Poisson-Boltzmann model with heterogeneous dielectric functions

The fractional porous medium equation on manifolds with conical singularities I

A constrained variational model of biomolecular solvation and its numerical implementation

Functional inequalities involving nonlocal operators on complete Riemannian manifolds and their applications to the fractional porous medium equation

Local existence and uniqueness in Sobolev spaces for first-order conformal causal relativistic viscous hydrodynamics

New variational analysis on the sharp interface of multiscale implicit solvation: general expressions and applications

The surface diffusion and the Willmore flow for uniformly regular hypersurfaces

Collaborators (3)

Gieri Simonett

Shan Zhao

Hengrong Du

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