Yiwen Lin is a Wen-Tsun Assistant Professor at Shanghai Jiao Tong University, specializing in applied mathematics. Her academic journey includes a Ph.D. in Computational Mathematics from Zhejiang University and a postdoctoral fellowship at Shanghai Jiao Tong University. With a focus on kinetic-fluid modeling, random scattering, and inverse scattering problems, Yiwen has made significant contributions to the field, including the development of new mathematical methods and stability results.
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Yiwen Lin has an impressive citation record, with 16 citations on Google Scholar, reflecting the impact and relevance of her research. She has published 8 papers in esteemed scientific journals, including 6 published and 2 accepted papers. Her work has garnered recognition and citations from peers in the field of applied mathematics.
Yiwen Lin has an impressive citation record, with 16 citations on Google Scholar. Her h-index is 2, indicating she has at least 2 papers cited at least 2 times each. Additionally, her i10-index is 1, meaning she has 1 paper cited at least 10 times. These metrics reflect the impact and relevance of her research in applied mathematics.
Education
Yiwen Lin received her Ph.D. in Computational Mathematics from Zhejiang University, studying under the guidance of Prof. Gang Bao. Her doctoral research spanned from September 2016 to June 2021. Following her Ph.D., Yiwen pursued postdoctoral research from July 2021 to June 2024 at Shanghai Jiao Tong University, co-advised by Prof. Shi Jin.
Research Focus
Yiwen Lin’s research interests lie in applied mathematics, particularly in kinetic-fluid modeling for mixtures of flows with uncertainties, random scattering, and inverse scattering problems. Her work involves developing mathematical models and computational methods to understand and solve complex physical phenomena involving random and uncertain parameters.
Professional Journey
Her dedication and contributions to the field have led to her appointment as a Tenure-Track Associate Professor at Shanghai Jiao Tong University, starting in July 2024.
Honors & Awards
Yiwen Lin’s achievements in publishing high-impact papers and collaborating with esteemed professors like Gang Bao and Shi Jin highlight her recognition and standing in the academic community.
Publications Noted & Contributions
Yiwen Lin has published 8 papers in renowned scientific journals. Notable contributions include a stability result for the Helmholtz equation on random periodic structures and the development of the MCCUQ method for reconstructing statistical quantities of unknown random periodic structures. Her research has been published in journals such as the Journal de Mathematiques Pures et Appliquees and the SIAM Journal on Numerical Analysis.
Inverse Scattering by a Random Periodic Structure
- Authors: G Bao, Y Lin, X Xu
- Published In: SIAM Journal on Numerical Analysis, 2020
- Summary: This paper investigates the inverse scattering problem for waves interacting with random periodic structures. It focuses on developing numerical methods and theoretical analysis to handle the randomness and periodicity in such problems.
Stability for the Helmholtz Equation in Deterministic and Random Periodic Structures
- Authors: G Bao, Y Lin, X Xu
- Published In: arXiv preprint, 2022
- Summary: This work studies the stability of solutions to the Helmholtz equation when applied to both deterministic and random periodic structures, providing insights into the behavior of wave propagation in such environments.
Energy Estimates and Hypocoercivity Analysis for a Multi-phase Navier-Stokes-Vlasov-Fokker-Planck System with Uncertainty
- Authors: S Jin, Y Lin
- Published In: Journal of Differential Equations, 2024
- Summary: The paper presents energy estimates and hypocoercivity analysis for a complex multi-phase system combining Navier-Stokes, Vlasov, and Fokker-Planck equations, considering the impact of uncertainty in the system.
Asymptotic-Preserving Schemes for Kinetic-Fluid Modeling of Mixture Flows with Distinct Particle Sizes
- Authors: S Jin, Y Lin
- Published In: arXiv preprint, 2022
- Summary: This research introduces asymptotic-preserving numerical schemes for modeling mixture flows where particles of different sizes are present, ensuring computational efficiency and accuracy even in challenging kinetic-fluid regimes.
Error Estimates of a Bi-Fidelity Method for a Multi-phase Navier-Stokes-Vlasov-Fokker-Planck System with Random Inputs
- Authors: Y Lin, S Jin
- Published In: arXiv preprint, 2023
- Summary: The paper provides error estimates for a bi-fidelity approach applied to a multi-phase system governed by Navier-Stokes-Vlasov-Fokker-Planck equations, focusing on the effects of random inputs on the system’s performance.
On Uniqueness of Elastic Scattering from a Cavity
- Authors: T Wang, Y Lin, X Xu
- Published In: arXiv preprint, 2023
- Summary: This work addresses the uniqueness of solutions in the context of elastic wave scattering from cavities, contributing to the theoretical understanding of such scattering problems.
A Priori Bounds for Elastic Scattering by Deterministic and Random Unbounded Rough Surfaces
- Authors: T Wang, Y Lin, X Xu
- Published In: arXiv preprint, 2023
- Summary: The paper derives a priori bounds for the solutions of elastic scattering problems involving both deterministic and random unbounded rough surfaces, providing crucial theoretical estimates.
Determination of Random Periodic Structures in Transverse Magnetic Polarization
- Authors: G Bao, Y Lin
- Published In: 2021
- Summary: This study focuses on the determination of random periodic structures when subjected to transverse magnetic polarization, offering insights and methodologies for solving such inverse problems.
Research Timeline
- Ph.D. Research (2016.9-2021.6): Focused on computational mathematics under Prof. Gang Bao.
- Postdoctoral Fellowship (2021.7-2024.6): Conducted research under the co-advisement of Prof. Shi Jin.
Collaborations and Projects
Yiwen Lin has collaborated with prominent mathematicians, including Gang Bao from Zhejiang University, Shi Jin from Shanghai Jiao Tong University, and Xiang Xu from Zhejiang University. Her research projects include four completed or ongoing projects focused on applied mathematics, contributing to advancements in kinetic-fluid modeling and scattering problems.