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Mathematics

D-Index
35
Citations
6905
World Ranking
2730
National Ranking
88

Overview

Andrea Braides is affiliated with the University of Rome Tor Vergata in Italy. Their research spans across several disciplines including Mathematics, Computer Science, and Engineering, with a particular focus on computational theory and applied mathematics.

The main fields of study in Braides's work include:

  • Mathematics
  • Computer Science
  • Engineering

Within these fields, Braides has contributed to multiple subfields such as:

  • Computational Theory and Mathematics
  • Applied Mathematics
  • Mathematical Physics
  • Mechanics of Materials
  • Computational Mechanics

Braides's research topics cover a range of advanced mathematical and computational areas, including:

  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Partial Differential Equations
  • Composite Material Mechanics
  • Numerical methods in inverse problems
  • Advanced Numerical Methods in Computational Mathematics
  • Geometric Analysis and Curvature Flows
  • Mathematical Dynamics and Fractals

Frequent co-authors collaborating with Braides include:

  • Margherita Solci
  • Roberto Alicandro
  • Andrey Piatnitski
  • Marco Cicalese
  • Antonio Tribuzio

Braides has published extensively in various venues, with notable frequent publication sources as:

  • arXiv (Cornell University)
  • Cineca Institutional Research Information System (Tor Vergata University)
  • Archive for Rational Mechanics and Analysis
  • Nonlinear Analysis
  • Journal of Nonlinear Science

Among recent papers authored or co-authored by Braides are:

  • "Discrete-to-continuum limits of multibody systems with bulk and surface long-range interactions", 2020, Cineca Institutional Research Information System (Tor Vergata University)
  • "Quantitative analysis of finite-difference approximations of free-discontinuity problems", 2020, Cineca Institutional Research Information System (Tor Vergata University)
  • "Homogenization of random convolution energies", 2021, Journal of the London Mathematical Society
  • "Homogenization of cohesive fracture in masonry structures", 2020, Cineca Institutional Research Information System (Tor Vergata University)
  • "Beyond the Classical Cauchy-Born Rule", 2023, Archive for Rational Mechanics and Analysis

Braides has also contributed to book publications with publishers including Cambridge University Press, SpringerBriefs on PDEs and Data Science, and Springer International Publishing. Notable books are:

  • "Discrete Variational Problems with Interfaces", 2023, Cambridge University Press
  • "A Variational Theory of Convolution-Type Functionals", 2023, SpringerBriefs on PDEs and Data Science
  • "Geometric Flows on Planar Lattices", 2021, Springer International Publishing

Best Publications

  • Γ-convergence for beginners

    Andrea Braides

  • Homogenization of Multiple Integrals

    Andrea Braides;Anneliese Defranceschi

  • Gamma-Convergence for Beginners

    Andrea Braides

  • Approximation of Free-Discontinuity Problems

    Andrea Braides

  • Variational formulation of softening phenomena in fracture mechanics. The one-dimensional case

    Andrea Braides;Gianni Dal Maso;Adriana Garroni

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

    Andrea Braides;Irene Fonseca;Gilles Francfort

  • Local Minimization, Variational Evolution and Γ-Convergence

    Andrea Braides

  • Asymptotic expansions by Γ-convergence

    Andrea Braides;Lev Truskinovsky

  • Homogenization of free discontinuity problems

    Andrea Braides;Anneliese Defranceschi;Enrico Vitali

  • A-QUASICONVEXITY: RELAXATION AND HOMOGENIZATION

    Andrea Braides;Irene Fonseca;Giovanni Leoni

  • Non-local approximation of the Mumford-Shah functional

    A. Braides;G. Dal Maso

  • Continuum Limits of Discrete Systems without Convexity Hypotheses

    Andrea Braides;Maria Stella Gelli

  • Chapter 2 A handbook of Г-convergence

    Andrea Braides

  • Limits of Discrete Systems with Long-Range Interactions

    Andrea Braides;Maria Stella Gelli

  • Effective Cohesive Behavior of Layers of Interatomic Planes

    Andrea Braides;Adrian J. Lew;Michael Ortiz

  • Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint

    Roberto Alicandro;Andrea Braides;Marco Cicalese

  • Relaxation results for some free discontinuity problems

    Andrea Braides;G. Buttazzo;Guy Bouchitté

  • A derivation of linear elastic energies from pair-interaction atomistic systems

    Andrea Braides;Margherita Solci;Enrico Vitali

  • Surface energies in nonconvex discrete systems

    Andrea Braides;Marco Cicalese

  • REITERATED HOMOGENIZATION OF INTEGRAL FUNCTIONALS

    Andrea Braides;Dag Lukkassen

  • Integral representation results for functionals defined on SBV(?; Rm)

    A. Braides;Valeria Chiado' Piat

Frequent Co-Authors

Andrey Piatnitski
Andrey Piatnitski University of Tromsø - The Arctic University of Norway
Matteo Novaga
Matteo Novaga University of Pisa
Irene Fonseca
Irene Fonseca Carnegie Mellon University
Sergio Conti
Sergio Conti University of Bonn
Giuseppe Buttazzo
Giuseppe Buttazzo University of Pisa
Gianni Dal Maso
Gianni Dal Maso International School for Advanced Studies
Andrea Malchiodi
Andrea Malchiodi Scuola Normale Superiore di Pisa
Antonin Chambolle
Antonin Chambolle Paris Dauphine University
Kaushik Bhattacharya
Kaushik Bhattacharya California Institute of Technology
Luigi Ambrosio
Luigi Ambrosio National Research Council (CNR)

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