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Giulio Schimperna

Giulio Schimperna

Overview

Giulio Schimperna is affiliated with the University of Pavia in Italy. Their research intersects multiple scientific domains, including computer science, mathematics, and engineering. The primary focus areas span advanced mathematical modeling applied to engineering problems, nonlinear partial differential equations, and mathematical biology relating to tumor growth. Further subfields addressed in their work include computational theory and mathematics, materials chemistry, computational mechanics, applied mathematics, and atmospheric science.

The scientist's scholarly output includes recent publications that contribute to mathematical and applied frameworks in engineering and biological systems. Among these works are:

  • On a Class of Sixth-Order Cahn--Hilliard-Type Equations with Logarithmic Potential (2020, SIAM Journal on Mathematical Analysis)
  • On a Cahn-Hilliard-Keller-Segel model with generalized logistic source describing tumor growth (2022, Journal of Differential Equations)
  • On the Existence of Strong Solutions to the Cahn--Hilliard--Darcy System with Mass Source (2022, SIAM Journal on Mathematical Analysis)
  • Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model (2022, Rendiconti Lincei Matematica e Applicazioni)
  • Weak sequential stability for a nonlinear model of nematic electrolytes (2020, Discrete and Continuous Dynamical Systems - S)

Giulio Schimperna frequently publishes in venues such as arXiv (Cornell University), Discrete and Continuous Dynamical Systems - S, Journal of Differential Equations, SIAM Journal on Mathematical Analysis, and Rendiconti Lincei Matematica e Applicazioni.

The scientist collaborates regularly with several co-authors, indicating an active engagement with contemporaries in their research fields. Frequent collaborators include Elisabetta Rocca, Andrea Signori, Goro Akagi, Eduard Feireisl, and Andrea Giorgini.

The research topics covered in Giulio Schimperna's work include:

  • Advanced Mathematical Modeling in Engineering
  • Solidification and crystal growth phenomena
  • Nanoparticles nucleation surface interactions
  • Fluid Dynamics and Thin Films
  • Mathematical Biology Tumor Growth
  • Nonlinear Partial Differential Equations
  • Stability and Controllability of Differential Equations

This broad spectrum of work reflects interdisciplinary engagement that spans theoretical mathematics to applied engineering challenges, with a particular interest in phase-field models, tumor growth modeling, and materials chemistry. The range of publications and collaborative network underscores a sustained contribution to computational and applied mathematical sciences relevant across several domains.

Best Publications

  • On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions

    Gianni Gilardi;A. Miranville;Giulio Schimperna

  • ANALYSIS OF A PHASE-FIELD MODEL FOR TWO-PHASE COMPRESSIBLE FLUIDS

    Eduard Feireisl;Hana Petzeltová;Elisabetta Rocca;Giulio Schimperna

  • Fractional Cahn–Hilliard, Allen–Cahn and porous medium equations

    Goro Akagi;Giulio Schimperna;Antonio Segatti

  • A Cahn-Hilliard model in a domain with non-permeable walls

    Gisèle Ruiz Goldstein;Alain Miranville;Giulio Schimperna

  • Local existence for Frémond’s model of damage in elastic materials

    E. Bonetti;G. Schimperna

  • On the 2D Cahn–Hilliard Equation with Inertial Term

    Maurizio Grasselli;Giulio Schimperna;Sergey Zelik

  • On the 3D Cahn-Hilliard equation with inertial term

    Maurizio Grasselli;Giulio Schimperna;Antonio Segatti;Sergey Zelik

  • On the long time behavior of a tumor growth model

    Alain Miranville;Alain Miranville;Alain Miranville;Elisabetta Rocca;Giulio Schimperna

  • On a multi-species Cahn–Hilliard–Darcy tumor growth model with singular potentials

    Sergio Frigeri;Kei Fong Lam;Elisabetta Rocca;Giulio Schimperna

  • Long Time Behavior of Solutions to the Caginalp System with Singular Potential

    Maurizio Grasselli;Hana Petzeltová;Giulio Schimperna

  • A new approach to non-isothermal models for nematic liquid crystals

    Eduard Feireisl;Michel Frémond;Elisabetta Rocca;Giulio Schimperna

  • Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions

    Gianni Gilardi;Alain Miranville;Giulio Schimperna

  • On a doubly nonlinear model for the evolution of damaging in viscoelastic materials

    Elena Bonetti;Giulio Schimperna;Antonio Segatti

  • Analysis of a diffuse interface model of multispecies tumor growth

    Mimi Dai;Eduard Feireisl;Elisabetta Rocca;Giulio Schimperna

  • Universal attractor for some singular phase transition systems

    Elisabetta Rocca;Giulio Schimperna

  • Asymptotic behavior of a nonisothermal viscous Cahn-Hilliard equation with inertial term

    Maurizio Grasselli;Hana Petzeltová;Giulio Schimperna

  • The Caginalp phase-field system with coupled dynamic boundary conditions and singular potentials

    Maurizio Grasselli;Alain Miranville;Giulio Schimperna

  • On a model for phase separation in binary alloys driven by mechanical effects

    Elena Bonetti;Pierluigi Colli;Wolfang Dreyer;Gianni Gilardi

  • On a non-isothermal model for nematic liquid crystals

    Eduard Feireisl;Elisabetta Rocca;Giulio Schimperna

  • Trajectory and smooth attractors for Cahn–Hilliard equations with inertial term

    Maurizio Grasselli;Giulio Schimperna;Sergey Zelik

Frequent Co-Authors

Elisabetta Rocca
Elisabetta Rocca University of Pavia
Eduard Feireisl
Eduard Feireisl Czech Academy of Sciences
Maurizio Grasselli
Maurizio Grasselli Polytechnic University of Milan
Sergey Zelik
Sergey Zelik University of Surrey
Alain Miranville
Alain Miranville University of Le Havre
Pierluigi Colli
Pierluigi Colli University of Pavia
Philippe Laurençot
Philippe Laurençot Toulouse Mathematics Institute
Giuseppe Savaré
Giuseppe Savaré Bocconi University

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