2026 Peter W. Bates: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	42	1772	1539	761	616	113	8617

Research.com Recognitions

2013 - Fellow of the American Mathematical Society

Overview

Peter W. Bates is affiliated with Michigan State University in the United States. The researcher's work spans several fields including Engineering and Medicine, with particular focus on subfields such as Biomedical Engineering, Surgery, Molecular Biology, Oral Surgery, and Statistical and Nonlinear Physics.

Their recent publications address topics related to nanopore and nanochannel transport, ion channel regulation, orthopaedic implants, dental implant techniques, microfluidic applications, stochastic dynamics, and the thermal properties of materials.

Notable recent papers include:

Small Permanent Charge Effects on Individual Fluxes via Poisson-Nernst-Planck Models with Multiple Cations, 2021, Journal of Nonlinear Science
Dynamics of ionic flows via Poisson-Nernst-Planck systems with local hard-sphere potentials: Competition between cations, 2020, Mathematical Biosciences & Engineering
Effects on I - V relations from small permanent charge and channel geometry via classical Poisson-Nernst-Planck equations with multiple cations, 2021, Nonlinearity
Is bisphosphonate use a risk factor for atypical periprosthetic/peri-implant fractures? - A metanalysis of retrospective cohort studies and systematic review of the current evidence, 2022, Orthopaedics & Traumatology Surgery & Research
L'utilisation de bisphosphonates est-elle un facteur de risque de fractures périprothétiques atypiques? Méta-analyse d'études de cohorte rétrospectives et revue systématique de la littérature actuelle, 2023, Revue de Chirurgie Orthopédique et Traumatologique

Frequent coauthors who have collaborated on multiple occasions with this researcher include:

Zhenshu Wen
Mingji Zhang
Pedro Ferreira
Ahmed Daoub
Debashis Dass

Key publication venues for this researcher's work are:

Journal of Nonlinear Science
Mathematical Biosciences & Engineering
Nonlinearity
Orthopaedics & Traumatology Surgery & Research
Revue de Chirurgie Orthopédique et Traumatologique

Their research covers main topics such as:

Nanopore and Nanochannel Transport Studies
Ion channel regulation and function
Orthopaedic implants and arthroplasty
Dental Implant Techniques and Outcomes
Microfluidic and Capillary Electrophoresis Applications
Stochastic dynamics and bifurcation
Thermal properties of materials

Peter W. Bates was recognized as a Fellow of the American Mathematical Society in 2013.

Best Publications

Traveling Waves in a Convolution Model for Phase Transitions

Peter W. Bates;Paul C. Fife;Xiaofeng Ren;Xuefeng Wang

703
Citations
Convergence of the Cahn-Hilliard equation to the Hele-Shaw model

Nicholas D. Alikakos;Nicholas D. Alikakos;Nicholas D. Alikakos;Peter W. Bates;Peter W. Bates;Peter W. Bates;Xinfu Chen;Xinfu Chen;Xinfu Chen

495
Citations
Random attractors for stochastic reaction–diffusion equations on unbounded domains

Peter W. Bates;Kening Lu;Bixiang Wang

446
Citations
Invariant Manifolds for Semilinear Partial Differential Equations

Peter W. Bates;Christopher K. R. T. Jones

381
Citations
ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS

Peter W. Bates;Hannelore Lisei;Kening Lu

368
Citations
ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS

Peter W. Bates;Kening Lu;Bixiang Wang

321
Citations
Slow motion for the Cahn-Hilliard equation in one space dimension

Nicholas Alikakos;Peter W. Bates;Giorgio Fusco

282
Citations
A Discrete Convolution Model¶for Phase Transitions

Peter W. Bates;Adam Chmaj

266
Citations
An integrodifferential model for phase transitions: Stationary solutions in higher space dimensions

Peter W. Bates;Adam Chmaj

262
Citations
Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal

Peter W. Bates;Guangyu Zhao

243
Citations
The dynamics of nucleation for the Cahn-Hilliard equation

Peter W. Bates;Paul C. Fife

225
Citations
Existence and Persistence of Invariant Manifolds for Semiflows in Banach Space

Peter W. Bates;Kening Lu;Chongchun Zeng

216
Citations
The Neumann boundary problem for a nonlocal Cahn–Hilliard equation

Peter W. Bates;Jianlong Han

202
Citations
Traveling Waves of Bistable Dynamics on a Lattice

Peter W. Bates;Xinfu Chen;Adam J. J. Chmaj

199
Citations
Best practice framework for Patient and Public Involvement (PPI) in collaborative data analysis of qualitative mental health research: methodology development and refinement

Helen Jennings;Mike Slade;Peter Bates;Emma Munday

189
Citations
ON SOME NONLOCAL EVOLUTION EQUATIONS ARISING IN MATERIALS SCIENCE

Unknown

179
Citations
Attractors of non-autonomous stochastic lattice systems in weighted spaces

Peter W. Bates;Kening Lu;Bixiang Wang

170
Citations
Periodic traveling waves and locating oscillating patterns in multidimensional domains

Nicholas D. Alikakos;Nicholas D. Alikakos;Peter W. Bates;Xinfu Chen

164
Citations
Equilibria with Many Nuclei for the Cahn–Hilliard Equation

Peter W. Bates;Giorgio Fusco

155
Citations
Minimal molecular surfaces and their applications.

Peter W. Bates;Guo-Wei Wei;Shan Zhao

151
Citations
Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability

Peter W. Bates;E. Norman Dancer;Junping Shi

142
Citations

Frequent Co-Authors

Kening Lu Brigham Young University

Xinfu Chen University of Pittsburgh

Christopher K. R. T. Jones University of North Carolina at Chapel Hill

Mike Slade University of Nottingham

Paul C. Fife University of Utah

Birgit Völlm University of Rostock

Guo-Wei Wei Michigan State University

Bixiang Wang New Mexico Institute of Mining and Technology

Shan Zhao University of Alabama

Justine Schneider University of Nottingham

External Links

Wikipedia of Peter W. Bates Personal website of Peter W. Bates Google Scholar page

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