World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
41
Citations
6601
World Ranking
1923
National Ranking
821

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2009 - SIAM Fellow For contributions to nonlinear partial differential equations and the calculus of variations.

Overview

Irene Fonseca is affiliated with Carnegie Mellon University in the United States and has a significant body of research spanning engineering, computer science, and mathematics. Their work frequently addresses advanced mathematical modeling in engineering, with particular emphasis on composite material mechanics and nonlinear partial differential equations.

The scientist has contributed to various subfields within these domains, including:

  • Mechanics of Materials
  • Computational Theory and Mathematics
  • Computational Mechanics
  • Applied Mathematics
  • Materials Chemistry

Main topics addressed in their research include:

  • Advanced Mathematical Modeling in Engineering
  • Composite Material Mechanics
  • Nonlinear Partial Differential Equations
  • Advanced Numerical Methods in Computational Mathematics
  • Solidification and Crystal Growth Phenomena
  • Numerical Methods in Inverse Problems
  • Adhesion, Friction, and Surface Interactions

Recent publications by Irene Fonseca comprise titles such as:

  • "Global and local energy minimizers for a nanowire growth model," 2022, Annales de l Institut Henri Poincaré C Analyse Non Linéaire
  • "Adaptive Image Processing: First Order PDE Constraint Regularizers and a Bilevel Training Scheme," 2023, Journal of Nonlinear Science
  • "Homogenization and Phase Separation with Space Dependent Wells: The Subcritical Case," 2023, Archive for Rational Mechanics and Analysis
  • "Dyadic Partition-Based Training Schemes for TV/TGV Denoising," 2024, Journal of Mathematical Imaging and Vision
  • "Erratum to: A homogenization result in the gradient theory of phase transitions," 2020, Interfaces and Free Boundaries Mathematical Analysis Computation and Applications

Their frequent coauthors include:

  • Giovanni Leoni
  • Riccardo Cristoferi
  • Likhit Ganedi
  • Rita Ferreira
  • Raghavendra Venkatraman

Irene Fonseca's work appears regularly in several publication venues, notably:

  • arXiv (Cornell University)
  • SIAM Journal on Mathematical Analysis
  • Calculus of Variations and Partial Differential Equations
  • Journal of Nonlinear Science
  • European Mathematical Society Magazine

The scientist has received recognition in the form of the following honors:

  • Fellow of the American Mathematical Society, 2013
  • SIAM Fellow, 2009, for contributions to nonlinear partial differential equations and the calculus of variations

Best Publications

  • Modern Methods in the Calculus of Variations: L^p Spaces

    Irene Fonseca;Giovanni Leoni

  • Degree Theory in Analysis and Applications

    Irene Fonseca;Wilfrid Gangbo

  • A -Quasiconvexity. lower semicontinuity, and young measures

    Irene Fonseca;Stefan Müller

  • Relaxation of quasiconvex functional in BV(Ω, ℝp) for integrands f(x, u,∇;u)

    Irene Fonseca;Stefan Müller

  • Quasi-convex integrands and lower semicontinuity in L 1

    Irene Fonseca;Stefan Müller

  • The gradient theory of phase transitions for systems with two potential wells

    Irene Fonseca;Luc Tartar

  • A uniqueness proof for the Wulff Theorem

    Irene Fonseca;Stefan Müller

  • Analysis of Concentration and Oscillation Effects Generated by Gradients

    Irene Fonseca;Stefan Müller;Pablo Pedregal

  • A Global Method for Relaxation

    Guy Bouchitté;Irene Fonseca;Luisa Mascarenhas

  • The Wulff Theorem Revisited

    Irene Fonseca

  • 3D-2D Asymptotic Analysis for Inhomogeneous Thin Films

    Andrea Braides;Irene Fonseca;Gilles Francfort

  • Variational methods for elastic crystals

    Irene Fonseca

  • Relaxation of multiple integrals below the growth exponent

    Irene Fonseca;Jan Malý

  • Scalar Minimizers with Fractal Singular Sets

    Irene Fonseca;Jan Malý;Giuseppe Mingione

  • A global method for relaxation in W1,p and in SBVp

    Guy Bouchitté;Irene Fonseca;Giovanni Leoni;Luísa Mascarenhas

  • A-QUASICONVEXITY: RELAXATION AND HOMOGENIZATION

    Andrea Braides;Irene Fonseca;Giovanni Leoni

  • Anisotropic singular perturbations—the vectorial case

    Ana Cristina Barroso;Irene Fonseca

  • Regularity results for anisotropic image segmentation models

    Irene Fonseca;Nicola Fusco

  • A Γ‐convergence result for the two‐gradient theory of phase transitions

    Sergio Conti;Irene Fonseca;Giovanni Leoni

  • An existence result for a nonconvex variational problem via regularity

    Irene Fonseca;Nicola Fusco;Paolo Marcellini

Frequent Co-Authors

Nicola Fusco
Nicola Fusco University of Naples Federico II
Gianni Dal Maso
Gianni Dal Maso International School for Advanced Studies
Guy Bouchitté
Guy Bouchitté Université de Toulon
Paolo Marcellini
Paolo Marcellini University of Florence
Giuseppe Mingione
Giuseppe Mingione University of Parma
Andrea Braides
Andrea Braides University of Rome Tor Vergata
David Kinderlehrer
David Kinderlehrer Carnegie Mellon University
Luigi Ambrosio
Luigi Ambrosio National Research Council (CNR)
Giuseppe Buttazzo
Giuseppe Buttazzo University of Pisa
Wilfrid Gangbo
Wilfrid Gangbo University of California, Los Angeles

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