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Mathematics

D-Index
32
Citations
4602
World Ranking
3178
National Ranking
107

Overview

Roberto Natalini is affiliated with the National Research Council (CNR) in Italy. Their work spans multiple fields, primarily focusing on Engineering and Mathematics, with significant contributions to interdisciplinary subfields such as Modeling and Simulation, Applied Mathematics, Civil and Structural Engineering, Biomedical Engineering, and Molecular Biology.

The main topics in Roberto Natalini's research include Mathematical Biology Tumor Growth, Cancer Cells and Metastasis, 3D Printing in Biomedical Research, Building Materials and Conservation, Gene Regulatory Network Analysis, Concrete and Cement Materials Research, and Gas Dynamics and Kinetic Theory.

Roberto Natalini has published papers in a variety of scholarly venues. Frequent publication venues include:

  • arXiv (Cornell University)
  • Journal of Evolution Equations
  • European Mathematical Society Magazine
  • Axioms
  • GEM - International Journal on Geomathematics

Among recent papers authored or co-authored by Roberto Natalini are:

  • Estimation Algorithm for a Hybrid PDE-ODE Model Inspired by Immunocompetent Cancer-on-Chip Experiment (2021, Axioms)
  • A forecasting model for the porosity variation during the carbonation process (2022, GEM - International Journal on Geomathematics)
  • Mass-Preserving Approximation of a Chemotaxis Multi-Domain Transmission Model for Microfluidic Chips (2021, Mathematics)
  • Parameter estimation techniques for a chemotaxis model inspired by Cancer-on-Chip (COC) experiments (2021, International Journal of Non-Linear Mechanics)
  • Forecasting Visitors' behaviour in Crowded Museums (2020, Collective Dynamics)

Roberto Natalini has collaborated frequently with several researchers. Notable co-authors include:

  • Gabriella Bretti
  • Maurizio Ceseri
  • Thierry Paul
  • Elishan Christian Braun
  • E. Bonetti

In addition to journal publications, Roberto Natalini has contributed to book publications. Notably, a work published by Springer International Publishing titled Mathematical Modeling in Cultural Heritage (2021) is part of their scholarship.

Best Publications

  • Convergence to equilibrium for the relaxation approximations of conservation laws

    Roberto Natalini

  • Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation

    Pierangelo Marcati;Roberto Natalini

  • Global Existence of Smooth Solutions for Partially Dissipative Hyperbolic Systems with a Convex Entropy

    B. Hanouzet;R. Natalini

  • Discrete Kinetic Schemes for Multidimensional Systems of Conservation Laws

    Denise Aregba-Driollet;Roberto Natalini

  • Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy

    Stefano Bianchini;Bernard Hanouzet;Roberto Natalini

  • Large time behavior of the solutions to a hydrodynamic model for semiconductors

    Tao Luo;Roberto Natalini;Zhouping Xin

  • A Discrete Kinetic Approximation of Entropy Solutions to Multidimensional Scalar Conservation Laws

    Roberto Natalini

  • Convergence of numerical schemes for viscosity solutions to integro-differential degenerate parabolic problems arising in financial theory

    Maya Briani;Claudia La Chioma;Roberto Natalini

  • The bipolar hydrodynamic model for semiconductors and the drift-diffusion equations

    R. Natalini

  • Implicit–explicit numerical schemes for jump–diffusion processes

    Maya Briani;Roberto Natalini;Giovanni Russo

  • Weak solutions to a hydrodynamic model for semiconductors: the Cauchy problem

    Pierangelo Marcati;Roberto Natalini

  • Numerical approximations of a traffic flow model on networks

    Gabriella Bretti;Roberto Natalini;Benedetto Piccoli

  • Convergence of relaxation schemes for conservation laws

    Denise Aregba-Driollet;Roberto Natalini

  • Conservation laws with discontinuous flux

    Mauro Garavello;Roberto Natalini;Benedetto Piccoli;Andrea Terracina

  • Conservation laws with vanishing nonlinear diffusion and dispersion

    Philippe G. LeFloch;Roberto Natalini

  • Fast Reaction Limit and Large Time Behavior of Solutions to a Nonlinear Model of Sulphation Phenomena

    F. R. Guarguaglini;R. Natalini

  • Diffusive BGK approximations for nonlinear multidimensional parabolic equations

    F. Bouchut;F. R. Guarguaglini;R. Natalini

  • Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems

    D. Aregba-Driollet;R. Natalini;S. Tang

  • On a relaxation approximation of the incompressible Navier-Stokes equations

    Yann Brenier;Roberto Natalini;Marjolaine Puel

  • The p53 protein and its molecular network: modelling a missing link between DNA damage and cell fate.

    Ján Eliaš;Luna Dimitrio;Jean Clairambault;Roberto Natalini

Frequent Co-Authors

Benedetto Piccoli
Benedetto Piccoli Rutgers, The State University of New Jersey
Maurizio Grasselli
Maurizio Grasselli Polytechnic University of Milan
Luigi Preziosi
Luigi Preziosi Polytechnic University of Turin
Yann Brenier
Yann Brenier École Normale Supérieure
Luigi Campanella
Luigi Campanella Sapienza University of Rome
François Bouchut
François Bouchut Université Gustave Eiffel
Carlos Matute
Carlos Matute University of the Basque Country
Klaus G. Reymann
Klaus G. Reymann Leibniz Institute for Neurobiology
Cinzia Volonté
Cinzia Volonté Fondazione Santa Lucia
Vincent Calvez
Vincent Calvez Centre national de la recherche scientifique, CNRS

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