World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
32
Citations
6255
World Ranking
3130
National Ranking
1254

Overview

David Hoff is a researcher affiliated with Indiana University in the United States with publications spanning mathematics, medicine, and computer science. Their research notably includes work in advanced mathematical modeling, differential equations, pharmaceutical studies, and computational theory.

The scientist's recent publications include the following papers:

  • "Key Potentially Inappropriate Drugs in Pediatrics: The KIDs List," 2020, The Journal of Pediatric Pharmacology and Therapeutics
  • "Intrathecal Methotrexate Containing the Preservative Benzyl Alcohol Erroneously Administered in Pediatric Leukemia Patients: Clinical Course and Preventive Process," 2020, The Journal of Pediatric Pharmacology and Therapeutics
  • "Pointwise bounds for the Green's function for the Neumann-Laplace operator in ³," 2021, Kinetic and Related Models
  • "Cancellation Properties and Pointwise Bounds for the Green's Functions for the Laplace Operator," 2024, arXiv (Cornell University)
  • "Cancellation properties and pointwise bounds for the Green's functions for the Laplace operator," 2025, Journal of Differential Equations

Frequent coauthors in David Hoff's work include:

  • Rachel Meyers
  • Jennifer Thackray
  • Kelly L. Matson
  • Christopher McPherson
  • Lisa Lubsch

The main publication venues where their work appears are:

  • The Journal of Pediatric Pharmacology and Therapeutics
  • Kinetic and Related Models
  • arXiv (Cornell University)
  • Journal of Differential Equations

Their research spans several fields and subfields, including:

  • Mathematics
  • Medicine
  • Computer Science

  • Computational Theory and Mathematics
  • Pediatrics, Perinatology and Child Health
  • Applied Mathematics
  • Mathematical Physics
  • Numerical Analysis

The work covers multiple key topics such as:

  • Advanced Mathematical Modeling in Engineering
  • Differential Equations and Boundary Problems
  • Pharmaceutical studies and practices
  • Differential Equations and Numerical Methods
  • Spectral Theory in Mathematical Physics
  • Anesthesia and Sedative Agents
  • Pharmacological Effects and Toxicity Studies

Best Publications

  • Global Solutions of the Navier-Stokes Equations for Multidimensional Compressible Flow with Discontinuous Initial Data

    D. Hoff

  • LARGE TIME BEHAVIOR OF SOLUTIONS OF SYSTEMS OF NONLINEAR REACTION-DIFFUSION EQUATIONS*

    Edward Conway;David Hoff;Joel Smoller

  • Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow

    David Hoff;Kevin Zumbrun

  • Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data

    David Hoff

  • Discontinuous Solutions of the Navier-Stokes Equations for Multidimensional Flows of Heat-Conducting Fluids

    David Hoff

  • Global existence for 1D, compressible, isentropic Navier-Stokes equations with large initial data

    David Hoff

  • The failure on continuous dependence on initial data for the Navier-Stokes equations of compressible flow

    David Hoff;Denis Serre

  • Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves

    David Hoff;Kevin Zumbrun

  • Compressible Flow in a Half-Space with Navier Boundary Conditions

    David Hoff

  • Uniqueness and continuous dependence of weak solutions in compressible magnetohydrodynamics

    David Hoff;Eugene Tsyganov

  • Dynamics of singularity surfaces for compressible, viscous flows in two space dimensions

    David Hoff

  • Non-Formation of Vacuum States for Compressible Navier–Stokes Equations

    David Hoff;Joel Smoller

  • Global solutions of the compressible navier-stokes equations with larger discontinuous initial data

    Gui-Qiang Chen;David Hoff;Konstantina Trivisa

  • Uniqueness of Weak Solutions of the Navier--Stokes Equations of Multidimensional, Compressible Flow

    David Hoff

  • THE ZERO-MACH LIMIT OF COMPRESSIBLE FLOWS

    David Hoff

  • Global well-posedness of the Cauchy problem for the Navier-Stokes equations of nonisentropic flow with discontinuous initial data

    David Hoff

  • Solutions in the large for certain nonlinear parabolic systems

    David Hoff;Joel Smoller

  • Invariant regions for systems of conservation laws

    David Hoff

  • Global solutions to a model for exothermically reacting, compressible flows with large discontinuous initial data

    Gui-Qiang Chen;David Hoff;Konstantina Trivisa

  • Construction of solutions for compressible, isentropic Navier-Stokes equations in one space dimension with nonsmooth initial data

    David Hoff

Frequent Co-Authors

Joel Smoller
Joel Smoller University of Michigan–Ann Arbor
Kevin Zumbrun
Kevin Zumbrun Indiana University
Gui-Qiang Chen
Gui-Qiang Chen University of Oxford

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, expanding your skillset with complementary online degrees can open diverse career opportunities. Many professionals find that combining mathematical expertise with business knowledge enhances their prospects in fields like finance, marketing, and management.

For example, an online masters in finance provides a strong foundation in financial analysis, portfolio management, and quantitative methods, which perfectly align with a mathematics background. This degree is not only affordable but also equips graduates for high-demand roles in financial institutions.

Alternatively, pursuing an accelerated online mba programs can fast-track leadership skills development, ideal for mathematicians aiming to move into managerial positions quickly. These programs combine practical business strategies with flexible learning schedules.

For those interested in market research and consumer analytics, earning a masters degree in marketing is a strategic choice. This degree emphasizes data-driven marketing tactics and quantitative analysis, providing strong earning potential.

Finally, the best 1 year mba programs offer intensive, high-impact education that complements analytical skills, preparing graduates for leadership roles across industries in just one year.

Best Scientists Citing David Hoff

Trending Scientists

Recently Published Articles