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Elisabetta Rocca

Elisabetta Rocca

Overview

Elisabetta Rocca is affiliated with the University of Pavia in Italy and specializes in mathematics, with a focus on computational theory and modeling. Their research spans multiple subfields, including computational theory and mathematics, materials chemistry, modeling and simulation, applied mathematics, and public health with an emphasis on environmental and occupational health.

The topics covered by their work include advanced mathematical modeling in engineering, solidification and crystal growth phenomena, mathematical biology related to tumor growth, nonlinear partial differential equations, mathematical and theoretical epidemiology and ecology models, topology optimization in engineering, and COVID-19 epidemiological studies.

Their recent publications demonstrate a concentration on mathematical biology, applied mathematics, and optimization problems. Some notable papers include:

  • A phase-field-based graded-material topology optimization with stress constraint, 2020, Mathematical Models and Methods in Applied Sciences
  • On a Cahn-Hilliard-Keller-Segel model with generalized logistic source describing tumor growth, 2022, Journal of Differential Equations
  • Well-posedness and optimal control for a Cahn-Hilliard-Oono system with control in the mass term, 2022, Discrete and Continuous Dynamical Systems - S
  • On the Existence of Strong Solutions to the Cahn--Hilliard--Darcy System with Mass Source, 2022, SIAM Journal on Mathematical Analysis
  • A Cahn-Hilliard model coupled to viscoelasticity with large deformations, 2023, Communications in Mathematical Sciences

Elisabetta Rocca frequently publishes in venues such as arXiv (Cornell University), Discrete and Continuous Dynamical Systems - S, Mathematical Models and Methods in Applied Sciences, SIAM Journal on Mathematical Analysis, and Discrete and Continuous Dynamical Systems - B.

  • arXiv (Cornell University)
  • Discrete and Continuous Dynamical Systems - S
  • Mathematical Models and Methods in Applied Sciences
  • SIAM Journal on Mathematical Analysis
  • Discrete and Continuous Dynamical Systems - B

They have a network of frequent coauthors, which includes Pierluigi Colli, Abramo Agosti, Alessandro Reali, Giulio Schimperna, and Andrea Signori. This collaboration reflects a strong engagement in interdisciplinary mathematical research.

  • Pierluigi Colli
  • Abramo Agosti
  • Alessandro Reali
  • Giulio Schimperna
  • Andrea Signori

Best Publications

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

    Eduard Feireisl;Hana Petzeltová;Elisabetta Rocca;Giulio Schimperna

  • On a diffuse interface model of tumor growth

    Sergio Frigeri;Maurizio Grasselli;Elisabetta Rocca

  • 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

  • Optimal Distributed Control of a Nonlocal Cahn--Hilliard/Navier--Stokes System in Two Dimensions

    Sergio Frigeri;Elisabetta Rocca;Jürgen Sprekels

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

    Eduard Feireisl;Michel Frémond;Elisabetta Rocca;Giulio Schimperna

  • Optimal Control of Treatment Time in a Diffuse Interface Model of Tumor Growth

    Harald Garcke;Kei Fong Lam;Elisabetta Rocca

  • Analysis of a diffuse interface model of multispecies tumor growth

    Mimi Dai;Eduard Feireisl;Elisabetta Rocca;Giulio Schimperna

  • Vanishing viscosities and error estimate for a Cahn–Hilliard type phase field system related to tumor growth

    Pierluigi Colli;Gianni Gilardi;Elisabetta Rocca;Juergen Sprekels

  • Optimal distributed control of a diffuse interface model of tumor growth

    Pierluigi Colli;Gianni Gilardi;Elisabetta Rocca;Jürgen Sprekels

  • A diffuse interface model for two-phase incompressible flows with non-local interactions and non-constant mobility

    Sergio Frigeri;Maurizio Grasselli;Elisabetta Rocca

  • Universal attractor for some singular phase transition systems

    Elisabetta Rocca;Giulio Schimperna

  • Optimal Distributed Control of a Nonlocal Convective Cahn--Hilliard Equation by the Velocity in Three Dimensions

    Elisabetta Rocca;Jürgen Sprekels

  • Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth ∗

    Pierluigi Colli;Gianni Gilardi;Elisabetta Rocca;Jürgen Sprekels

  • Global weak solution and blow-up criterion of the general Ericksen-Leslie system for nematic liquid crystal flows

    Cecilia Cavaterra;Elisabetta Rocca;Hao Wu

  • On a non-isothermal model for nematic liquid crystals

    Eduard Feireisl;Elisabetta Rocca;Giulio Schimperna

  • Long-Time Dynamics and Optimal Control of a Diffuse Interface Model for Tumor Growth

    Cecilia Cavaterra;Elisabetta Rocca;Hao Wu

  • Nonlinear evolution inclusions arising from phase change models

    Pierluigi Colli;Pavel Krejčí;Elisabetta Rocca;Jürgen Sprekels

  • Evolution of non-isothermal Landau–de Gennes nematic liquid crystals flows with singular potential

    Eduard Feireisl;Elisabetta Rocca;Giulio Schimperna;Arghir Zarnescu

  • On a Diffuse Interface Model for Tumour Growth with Non-local Interactions and Degenerate Mobilities

    Sergio Frigeri;Kei Fong Lam;Elisabetta Rocca

Frequent Co-Authors

Giulio Schimperna
Giulio Schimperna University of Pavia
Pierluigi Colli
Pierluigi Colli University of Pavia
Eduard Feireisl
Eduard Feireisl Czech Academy of Sciences
Maurizio Grasselli
Maurizio Grasselli Polytechnic University of Milan
Alain Miranville
Alain Miranville University of Le Havre
Viorel Barbu
Viorel Barbu Alexandru Ioan Cuza University
Enrico Valdinoci
Enrico Valdinoci University of Western Australia
Harald Garcke
Harald Garcke University of Regensburg
Michael Hintermüller
Michael Hintermüller Weierstrass Institute for Applied Analysis and Stochastics
Günter Leugering
Günter Leugering University of Erlangen-Nuremberg

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