Yuanzhen Shao

Assistant Professor at Mathematics, The University of Alabama7 Followers

Developing insights into the future of mathematical analysis, Yuanzhen Shao serves as an Assistant Professor in Mathematics at the University of Alabama, Tuscaloosa. With a keen interest in analysis, she delves into the intricate structures and theories that underpin this field. Her work contributes to a deeper understanding of mathematical concepts, fostering advancements in both theoretical and applied mathematics. At the University of Alabama, she engages with students and colleagues alike, nurturing a collaborative environment that encourages exploration and innovation in mathematical research.

Research Interests

Mathematical analysis theoretical mathematics applied mathematics intricate structures

Publications

1 - Functional inequalities involving nonlocal operators on complete Riemannian manifolds and their applications to the fractional porous medium equation,Evolution Equations and Control Theory

Nikolaos Roidos , Yuanzhen Shao ,

, 793, 2022-01-01

2 - The fractional porous medium equation on manifolds with conical singularities II,Mathematische Nachrichten

Nikolaos Roidos , Yuanzhen Shao ,

, 1616-1650, 2023-01-16

3 - Strongly hyperbolic quasilinear systems revisited, with applications to relativistic fluid dynamics,Asymptotic Analysis

Marcelo M. Disconzi , Yuanzhen Shao ,

, 281-302, 2024-11-04

4 - On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension,Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications

Jan Prüss , Yuanzhen Shao , Gieri Simonett ,

, 555-600, 2016-01-13

5 - Some remarks on uniformly regular Riemannian manifolds,Mathematische Nachrichten

Marcelo Disconzi , Yuanzhen Shao , Gieri Simonett ,

, 232-242, 2015-09-22

6 - Singular parabolic equations of second order on manifolds with singularities,Journal of Differential Equations

Yuanzhen Shao ,

, 1747-1800, 2016-01-01

7 - A family of parameter-dependent diffeomorphisms acting on function spaces over a Riemannian manifold and applications to geometric flows,Nonlinear Differential Equations and Applications NoDEA

Yuanzhen Shao ,

, 45-85, 2014-04-29

8 - The Yamabe flow on incomplete manifolds,Journal of Evolution Equations

Yuanzhen Shao ,

, 1595-1632, 2018-05-29

9 - Continuous maximal regularity on singular manifolds and its applications,Evolution Equations and Control Theory

Yuanzhen Shao ,

, 303-335, 2016-06-01

10 - The harmonic map heat flow on conic manifolds,Contemporary Mathematics

Yuanzhen Shao , Changyou Wang ,

, 227-250, 2019-01-01

11 - Continuous maximal regularity on uniformly regular Riemannian manifolds,Journal of Evolution Equations

Yuanzhen Shao , Gieri Simonett ,

, 211-248, 2014-01-28

12 - The fractional porous medium equation on manifolds with conical singularities I,Journal of Evolution Equations

Nikolaos Roidos , Yuanzhen Shao ,

, 2022-03-01

13 - Wellposedness of a nonlocal nonlinear diffusion equation of image processing,Nonlinear Analysis: Theory, Methods & Applications

Patrick Guidotti , Yuanzhen Shao ,

, 114-137, 2017-02-01

14 - A new approach to constrained total variation solvation models and the study of solute-solvent interface profiles,Computers & Mathematics with Applications

Zhan Chen , Yuanzhen Shao ,

, 119-136, 2023-01-01

15 - On a thermodynamically consistent model for magnetoviscoelastic fluids in 3D,Journal of Evolution Equations

Hengrong Du , Yuanzhen Shao , Gieri Simonett ,

, 2024-02-10

16 - The surface diffusion and the Willmore flow for uniformly regular hypersurfaces,Discrete and Continuous Dynamical Systems - S

Jeremy LeCrone , Yuanzhen Shao , Gieri Simonett ,

, 3503-3524, 2020-01-01

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