World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
30
Citations
3030
World Ranking
3560
National Ranking
124

Overview

Michiel Bertsch is affiliated with the University of Rome Tor Vergata in Italy and specializes primarily in mathematics and medicine. Their body of work spans multiple fields and subfields, focusing heavily on applied mathematics and related interdisciplinary areas.

The main fields of study for Bertsch include:

  • Mathematics
  • Medicine

Within these broader categories, the scientist engages deeply with subfields such as:

  • Applied Mathematics
  • Physiology
  • Computational Theory and Mathematics
  • Radiology, Nuclear Medicine and Imaging
  • Mathematical Physics

Bertsch's research topics notably cover:

  • Alzheimer's disease research and treatments
  • Geometric Analysis and Curvature Flows
  • Navier-Stokes equation solutions
  • Advanced Neuroimaging Techniques and Applications
  • Nonlinear Partial Differential Equations
  • Stochastic processes and financial applications
  • Computational Drug Discovery Methods

The researcher has collaborated frequently with several coauthors, including:

  • Flavia Smarrazzo
  • Alberto Tesei
  • Veronica Tora
  • Andrea Terracina
  • Bruno Franchi

Bertsch has contributed to a range of publication venues, with recurrent appearances in:

  • Nonlinear Analysis
  • arXiv (Cornell University)
  • Discrete and Continuous Dynamical Systems - B
  • Journal of Mathematical Biology
  • European Journal of Applied Mathematics

Recent research papers authored by Michiel Bertsch include:

  • The amyloid cascade hypothesis and Alzheimer's disease: A mathematical model, 2020, European Journal of Applied Mathematics
  • The role of Aβ and Tau proteins in Alzheimer's disease: a mathematical model on graphs, 2023, Journal of Mathematical Biology
  • Macroscopic modelling of Alzheimer's disease: difficulties and challenges, 2021, Brain Multiphysics
  • On a class of forward-backward parabolic equations: Formation of singularities, 2020, Journal of Differential Equations
  • Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations, 2021, Journal of Hyperbolic Differential Equations

Best Publications

  • Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation

    Elena Beretta;Michiel Bertsch;Roberta Dal Passo

  • Positivity versus localization in degenerate diffusion equations

    M. Bertsch;R. Kersner;L.A. Peletier

  • A degenerate pseudoparabolic regularization of a nonlinear forward-backward heat equation arising in the theory of heat and mass exchange in stably stratified turbulent shear flow

    G. I. Barenblatt;M. Bertsch;R. Dal Passo;M. Ughi

  • The thin viscous flow equation in higher space dimensions

    Michiel Bertsch;Roberta Dal Passo;Harald Garcke;Günther Grün

  • Nonuniqueness for the Heat Flow¶of Harmonic Maps on the Disk

    Michiel Bertsch;Roberta Dal Passo;Rein van der Hout

  • On interacting populations that disperse to avoid crowding:preservation of segregation

    M. Bertsch;M. E. Gurtin;D. Hilhorst;L. A. Peletier

  • Positivity properties of viscosity solutions of a degenerate parabolic equation

    Unknown

  • Alzheimer's disease: a mathematical model for onset and progression.

    Michiel Bertsch;Bruno Franchi;Norina Marcello;Maria Carla Tesi

  • Hyperbolic phenomena in a strongly degenerate parabolic equation

    Michiel Bertsch;Roberta Dal Passo

  • Discontinuous “viscosity” solutions of a degenerate parabolic equation

    Michiel Bertsch;Roberta Dal Passo;Maura Ughi

  • A class of degenerate diffusion equations with a singular nonlinear term

    Unknown

  • On the dynamics of deformable ferromagnets

    M. Bertsch;P. Podio Guidugli;V. Valente

  • Nonuniqueness of solutions of a degenerate parabolic equation

    Michiel Bertsch;Roberta Dal Passo;Maura Ughi

  • Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation.

    G. I. Barenblatt;M. Bertsch;A. E. Chertock;V. M. Prostokishin

  • On interacting populations that disperse to avoid crowding: The effect of a sedentary colony

    M. Bertsch;M. E. Gurtin;D. Hilhorst;L. A. Peletier

  • Analysis of oil trapping in porous media flow

    M Bertsch;R Dal Passo;van Cj Hans Duijn

  • A NONLINEAR PARABOLIC-HYPERBOLIC SYSTEM FOR CONTACT INHIBITION OF CELL-GROWTH

    Michiel Bertsch;Danielle Hilhorst;Hirofumi Izuhara;Masayasu Mimura

  • Decay of solutions of a degenerate nonlinear diffusion equation

    M. Bertsch;T. Nanbu;L.A. Peletier

  • Regularity Results for an Elliptic-Parabolic Free Boundary Problem

    Unknown

  • Thin-film equations with “partial wetting” energy: Existence of weak solutions

    Michiel Bertsch;Lorenzo Giacomelli;Georgia Karali

  • A free boundary problem arising in a simplified tumour growth model of contact inhibition

    Michiel Bertsch;Roberta Dal Passo;Masayasu Mimura

  • Perspectives in nonlinear partial differential equations : in honor of Haïm Brezis

    Henri Berestycki;Michiel Bertsch;Felix E. Browder;Louis Nirenberg

  • A positivity property of solutions of nonlinear diffusion equations

    M Bertsch;L.A Peletier

  • Degenerate diffusion and the Stefan problem

    M. Bertsch;P. de Mottoni;L.A. Peletier

  • Pseudoparabolic regularization of forward-backward parabolic equations: A logarithmic nonlinearity

    Michiel Bertsch;Flavia Smarrazzo;Alberto Tesei

Frequent Co-Authors

Masayasu Mimura
Masayasu Mimura Hiroshima University
Grigory Isaakovich Barenblatt
Grigory Isaakovich Barenblatt University of California, Berkeley
Harald Garcke
Harald Garcke University of Regensburg
Alexandre J. Chorin
Alexandre J. Chorin University of California, Berkeley
Juan Luis Vázquez
Juan Luis Vázquez Autonomous University of Madrid

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