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Mathematics

D-Index
39
Citations
6987
World Ranking
2177
National Ranking
62

Overview

Filippo Gazzola is affiliated with the Polytechnic University of Milan in Italy and has a research focus spanning engineering and mathematics. Their scholarly output includes topics related to computational mechanics, applied mathematics, and control and systems engineering, with particular attention to aerospace engineering.

Their main fields of study are:

  • Engineering
  • Mathematics

Subfields in which they have published extensively include:

  • Computational Mechanics
  • Applied Mathematics
  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Aerospace Engineering

The primary research topics addressed by Filippo Gazzola encompass:

  • Advanced Mathematical Modeling in Engineering
  • Fluid Dynamics and Turbulent Flows
  • Navier-Stokes Equation Solutions
  • Fluid Dynamics and Vibration Analysis
  • Nonlinear Partial Differential Equations
  • Vibration and Dynamic Analysis
  • Stability and Controllability of Differential Equations

They have contributed to numerous peer-reviewed papers, with recent publications including:

  • "Steady Navier-Stokes Equations in Planar Domains with Obstacle and Explicit Bounds for Unique Solvability," 2020, Archive for Rational Mechanics and Analysis
  • "Uniqueness and Bifurcation Branches for Planar Steady Navier-Stokes Equations Under Navier Boundary Conditions," 2021, Journal of Mathematical Fluid Mechanics
  • "Long-time dynamics of a hinged-free plate driven by a nonconservative force," 2022, Annales de l Institut Henri Poincaré C Analyse Non Linéaire
  • "An Explicit Threshold for the Appearance of Lift on the Deck of a Bridge," 2021, Journal of Mathematical Fluid Mechanics
  • "A new model for suspension bridges involving the convexification of the cables," 2020, Zeitschrift für angewandte Mathematik und Physik

Their frequent co-authors are:

  • Gianmarco Sperone
  • Denis Bonheure
  • Giovanni P. Galdi
  • Edoardo Bocchi
  • Alessio Falocchi

Filippo Gazzola has also contributed to academic book publications, including works published by EMS Textbooks in Mathematics and the EMS Series in Industrial and Applied Mathematics. Notable books authored include:

  • Dynamic Optimization for Beginners, 2021
  • Interactions between Elasticity and Fluid Mechanics, 2022

Key venues where Filippo Gazzola's work frequently appears include:

  • arXiv (Cornell University)
  • Zeitschrift für angewandte Mathematik und Physik
  • Mathematics in Engineering
  • Journal of Mathematical Fluid Mechanics
  • Annali di Matematica Pura ed Applicata (1923 -)

Best Publications

  • Polyharmonic Boundary Value Problems

    Filippo Gazzola;Hans-Christoph Grunau;Guido Sweers

  • Polyharmonic Boundary Value Problems: Positivity Preserving and Nonlinear Higher Order Elliptic Equations in Bounded Domains

    Filippo Gazzola;Hans-Christoph Grunau;Guido Sweers

  • Existence of Solutions for Singular Critical Growth Semilinear Elliptic Equations

    Alberto Ferrero;Filippo Gazzola

  • Global solutions and finite time blow up for damped semilinear wave equations

    Filippo Gazzola;Marco Squassina

  • Existence and nonexistence results for anisotropic quasilinear elliptic equations

    Ilaria Fragalà;Filippo Gazzola;Bernd Kawohl

  • Hardy inequalities with optimal constants and remainder terms

    Filippo Gazzola;Hans-Christoph Grunau;Enzo Mitidieri

  • Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities

    Elvise Berchio;Filippo Gazzola

  • Existence and nonexistence results for critical growth biharmonic elliptic equations

    Filippo Gazzola;Hans-Christoph Grunau;Marco Squassina

  • Radial entire solutions for supercritical biharmonic equations

    Filippo Gazzola;Hans-Christoph Grunau

  • Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level

    Filippo Gazzola;Tobias Weth

  • Mathematical Models for Suspension Bridges: Nonlinear Structural Instability

    Filippo Gazzola

  • A Semilinear Fourth Order Elliptic Problem with Exponential Nonlinearity

    Gianni Arioli;Filippo Gazzola;Hans-Christoph Grunau;Enzo Mitidieri

  • Lower order perturbations of critical growth nonlinearities in semilinear elliptic equations

    Filippo Gazzola;Bernhard Ruf

  • A new mathematical explanation of what triggered the catastrophic torsional mode of the Tacoma Narrows Bridge

    Gianni Arioli;Gianni Arioli;Filippo Gazzola

  • A partially hinged rectangular plate as a model for suspension bridges

    Alberto Ferrero;Filippo Gazzola

  • Existence of ground states and free boundary problems for quasilinear elliptic operators

    Filippo Gazzola;James Serrin;Moxun Tang

  • Positivity preserving property for a class of biharmonic elliptic problems

    Elvise Berchio;Filippo Gazzola;Enzo Mitidieri

  • A NONSMOOTH CRITICAL POINT THEORY APPROACH TO SOME NONLINEAR ELLIPTIC EQUATIONS IN R n

    Filippo Gazzola;Vicenţiu Rădulescu

  • On a fourth order Steklov eigenvalue problem

    Alberto Ferrero;Filippo Gazzola;Tobias Weth

  • Structural instability of nonlinear plates modelling suspension bridges: Mathematical answers to some long-standing questions

    Elvise Berchio;Alberto Ferrero;Filippo Gazzola

  • Decay and eventual local positivity for biharmonic parabolic equations

    Alberto Ferrero;Filippo Gazzola;Hans-Christoph Grunau

Frequent Co-Authors

Tobias Weth
Tobias Weth Goethe University Frankfurt
Ireneo Peral
Ireneo Peral Autonomous University of Madrid
Vieri Benci
Vieri Benci University of Pisa
Juan Luis Vázquez
Juan Luis Vázquez Autonomous University of Madrid
Enzo Mitidieri
Enzo Mitidieri University of Trieste
Pedro J. Torres
Pedro J. Torres University of Granada
Susanna Terracini
Susanna Terracini University of Turin
Marco Squassina
Marco Squassina Catholic University of the Sacred Heart
James Serrin
James Serrin University of Minnesota
Enrico Zio
Enrico Zio Polytechnic University of Milan

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