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D-Index & Metrics

Mathematics

D-Index
45
Citations
13580
World Ranking
1422
National Ranking
628

Overview

Giovanni P. Galdi is affiliated with the University of Pittsburgh in the United States. Their research primarily spans the fields of engineering and mathematics with a substantial focus on applied mathematics and computational mechanics. The scholarly output includes topics such as Navier-Stokes equation solutions, stability and controllability of differential equations, and advanced mathematical modeling in engineering.

The scientist's recent publications demonstrate an emphasis on fluid mechanics and nonlinear dynamics. Notable papers include:

  • On weak solutions to the problem of a rigid body with a cavity filled with a compressible fluid, and their asymptotic behavior (2020), published in International Journal of Non-Linear Mechanics
  • Large-Time Behavior of a Rigid Body of Arbitrary Shape in a Viscous Fluid Under the Action of Prescribed Forces and Torques (2023), published in Journal of Mathematical Fluid Mechanics
  • Nonlinear spectral instability of steady-state flow of a viscous liquid past a rotating obstacle (2020), published in Mathematische Annalen
  • Equilibrium Configurations of a Symmetric Body Immersed in a Stationary Navier-Stokes Flow in a Planar Channel (2024), published in SIAM Journal on Mathematical Analysis
  • Spatial decay of the vorticity field of time-periodic viscous flow past a body (2020), published in arXiv (Cornell University)

Galdi has collaborated frequently with several co-authors, including Denis Bonheure, Filippo Gazzola, Šárka Nečasová, Václav Mácha, and Toshiaki Hishida. These collaborations have contributed to multiple publications in varied venues, reflecting interdisciplinary approaches within fluid dynamics and mathematical fluid mechanics.

The scientist has contributed to venues specializing in mathematical fluid mechanics and applied mathematics, such as:

  • arXiv (Cornell University)
  • Journal of Mathematical Fluid Mechanics
  • Mathematische Annalen
  • SIAM Journal on Mathematical Analysis
  • International Journal of Non-Linear Mechanics

Among their academic contributions is a book chapter in the series Advances in Mathematical Fluid Mechanics, titled "Fluids Under Pressure" (2020), which adds to their research citations and reflects ongoing engagement with advanced topics in fluid mechanics.

Their main fields of study include:

  • Engineering
  • Mathematics

Subfields of focus encompass:

  • Applied Mathematics
  • Computational Mechanics
  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Statistical and Nonlinear Physics

The main topics covered in their research output include:

  • Navier-Stokes equation solutions
  • Stability and Controllability of Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Fluid Dynamics and Turbulent Flows
  • Quantum chaos and dynamical systems
  • Advanced Mathematical Physics Problems
  • Nonlinear Partial Differential Equations

Best Publications

  • An Introduction to the Mathematical Theory of the Navier-Stokes Equations: Steady-State Problems

    Giovanni Paolo Galdi

  • An introduction to the mathematical theory of the Navier-Stokes equations

    Giovanni P. Galdi

  • An Introduction to the Navier-Stokes Initial-Boundary Value Problem

    Giovanni P. Galdi

  • Chapter 7 – On the Motion of a Rigid Body in a Viscous Liquid: A Mathematical Analysis with Applications

    Giovanni P. Galdi

  • A note on the existence and uniqueness of solutions of the micropolar fluid equations

    Giovanni P. Galdi;Salvatore Rionero

  • A new approach to energy theory in the stability of fluid motion

    Giovanni P. Galdi;Mariarosaria Padula

  • Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations

    Luigi C. Berselli;Giovanni P. Galdi

  • APPROXIMATION OF THE LARGER EDDIES IN FLUID MOTIONS II: A MODEL FOR SPACE-FILTERED FLOW

    Giovanni P. Galdi;William J. Layton

  • A Nonlinear Analysis of the Stabilizing Effect of Rotation in the Benard Problem

    G. P. Galdi;B. Straughan

  • ON SOME UNSTEADY MOTIONS OF FLUIDS OF SECOND GRADE

    R Bandelli;K R Rajagopal;G P Galdi

  • Exchange of stabilities, symmetry, and nonlinear stability

    Giovanni P. Galdi;Brian Straughan

  • Existence, uniqueness and L q -estimates for the stokes problem in an exterior domain

    Giovanni P. Galdi;Giovanni P. Galdi;Christian G. Simader;Christian G. Simader

  • On the stokes problem in Lipschitz domains

    G. P. Galdi;C. G. Simader;H. Sohr

  • Non-linear stability of the magnetic Bénard problem via a generalized energy method

    Giovanni P. Galdi

  • On the Steady Self-Propelled Motion of a Body in a Viscous Incompressible Fluid

    Giovanni P. Galdi

  • Further existence results for classical solutions of the equations of a second-grade fluid

    Giovanni P. Galdi;Adélia Sequeira

  • Existence and Uniqueness of Time-Periodic Physically Reasonable Navier-Stokes Flow Past a Body

    Giovanni P. Galdi;Hermann Sohr

  • A class of solutions to stationary Stokes and Navier-Stokes equations with boundary data in W −1/q,q

    G. P. Galdi;C. G. Simader;H. Sohr

  • Existence and uniqueness of classical solutions of the equations of motion for second-grade fluids

    Giovanni P. Galdi;Marié Grobbelaar-Van Dalsen;Niko Sauer

  • Fundamental directions in mathematical fluid mechanics

    Giovanni Paolo Galdi;J. G. Heywood;Rolf Rannacher

  • Linearized steady problems

    Giovanni Paolo Galdi

Frequent Co-Authors

Rolf Rannacher
Rolf Rannacher Heidelberg University
Hermann Sohr
Hermann Sohr University of Paderborn
Gregory Seregin
Gregory Seregin University of Oxford
Josef Málek
Josef Málek Charles University
Roland Glowinski
Roland Glowinski University of Houston
Peter Constantin
Peter Constantin Princeton University
Giuseppe Buttazzo
Giuseppe Buttazzo University of Pisa
Stefan Turek
Stefan Turek TU Dortmund University
William Layton
William Layton University of Pittsburgh
Traian Iliescu
Traian Iliescu Virginia Tech

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