World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
34
Citations
4130
World Ranking
2944
National Ranking
1189

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2012 - SIAM Fellow For contributions to analytical and numerical methods for statistical transport problems in complex particle systems.

Overview

Irene M. Gamba is affiliated with The University of Texas at Austin in the United States. Their research spans a range of fields and topics primarily situated at the intersection of mathematics and engineering, with significant contributions to applied mathematics, computational mechanics, and mathematical physics.

The scientist's work focuses extensively on gas dynamics and kinetic theory, numerical methods in inverse problems, and lattice Boltzmann simulation studies. Additional research interests include computational fluid dynamics and aerodynamics, fluid dynamics and turbulent flows, advanced mathematical modeling in engineering, and mathematical biology related to tumor growth.

Recent publications illustrate the scope and nature of their contributions. Notable papers include:

  • "Global well-posedness of a binary-ternary Boltzmann equation," 2022, published in Annales de l Institut Henri Poincaré C Analyse Non Linéaire
  • "ERROR ESTIMATE OF A BIFIDELITY METHOD FOR KINETIC EQUATIONS WITH RANDOM PARAMETERS AND MULTIPLE SCALES," 2021, published in International Journal for Uncertainty Quantification
  • "On the Cauchy problem for Boltzmann equation modeling a polyatomic gas," 2023, published in Journal of Mathematical Physics
  • "On the Cauchy problem for Boltzmann equation modelling a polyatomic gas," 2020, published in arXiv (Cornell University)
  • "Global Weak Solutions to Compressible Navier-Stokes-Vlasov-Boltzmann Systems for Spray Dynamics," 2020, published in Journal of Mathematical Fluid Mechanics

Gamba has frequently collaborated with several co-authors, including Milana Pavić-Čolić, Ricardo J. Alonso, Michael Abdelmalik, Maja Tasković, and Erica de la Canal. These collaborations have spanned various aspects of their research domains.

The scientist's research has appeared in numerous publication venues, with a concentration in:

  • arXiv (Cornell University)
  • Annales de l Institut Henri Poincaré C Analyse Non Linéaire
  • International Journal for Uncertainty Quantification
  • Journal of Mathematical Physics
  • Journal of Statistical Physics

Irene M. Gamba has been recognized with awards acknowledging contributions to the mathematical sciences. They became a Fellow of the American Mathematical Society in 2013. In 2012, they were named a SIAM Fellow for contributions to analytical and numerical methods for statistical transport problems in complex particle systems.

Best Publications

  • On some properties of kinetic and hydrodynamic equations for inelastic interactions

    A. V. Bobylev;J. A. Carrillo;J. A. Carrillo;I. M. Gamba

  • Stationary transonic solutions of a one—dimensional hydrodynamic model for semiconductors

    Irene M Gamba

  • On the Boltzmann Equation for Diffusively Excited Granular Media

    I.M. Gamba;V. Panferov;V. Panferov;C. Villani

  • Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions

    Alexander V. Bobylev;Irene M. Gamba;Vladislav A. Panferov;Vladislav A. Panferov

  • A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices: performance and comparisons with Monte Carlo methods

    José A. Carrillo;Irene M. Gamba;Armando Majorana;Chi-Wang Shu

  • A discontinuous Galerkin method for the Vlasov-Poisson system

    R. E. Heath;I. M. Gamba;P. J. Morrison;C. Michler

  • Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states

    Irene M. Gamba;Sri Harsha Tharkabhushanam

  • Steady states of a boltzmann equation for driven granular media

    J. A. Carrillo;C. Cercignani;Irene M Gamba

  • Upper Maxwellian Bounds for the Spatially Homogeneous Boltzmann Equation

    Irene M Gamba;V. Panferov;C. Villani

  • Moment inequalities and high-energy tails for the Boltzmann equations with inelastic interactions

    Alexander V. Bobylev;Irene M. Gamba;Vladislav A. Panferov

  • A Fast Spectral Method for the Boltzmann Collision Operator with General Collision Kernels

    Irene M. Gamba;Jeffrey R. Haack;Cory D. Hauck;Jingwei Hu

  • A viscous approximation for a 2‐D steady semiconductor or transonic gas dynamic flow: Existence theorem for potential flow

    Irene M. Gamba;Cathleen S. Morawetz

  • Positive Solutions to Singular Second and Third Order Differential Equations for Quantum Fluids

    Irene M. Gamba;Ansgar Jüngel

  • On the Self-Similar Asymptotics for Generalized Nonlinear Kinetic Maxwell Models

    Alexander Bobylev;C. Cercignani;I.M. Gamba

  • A discontinuous Galerkin solver for Boltzmann–Poisson systems in nano devices

    Yingda Cheng;Irene M. Gamba;Armando Majorana;Chi Wang Shu

  • Boltzmann Equations For Mixtures of Maxwell Gases: Exact Solutions and Power Like Tails

    Alexander Bobylev;I. M Gamba

  • Discontinuous Galerkin methods for the Vlasov-Maxwell equations

    Yingda Cheng;Irene M. Gamba;Fengyan Li;Philip J. Morrison

  • Study of conservation and recurrence of Runge---Kutta discontinuous Galerkin schemes for Vlasov---Poisson systems

    Yingda Cheng;Irene M. Gamba;Philip J. Morrison

  • SHOCK AND BOUNDARY STRUCTURE FORMATION BY SPECTRAL-LAGRANGIAN METHODS FOR THE INHOMOGENEOUS BOLTZMANN TRANSPORT EQUATION *

    Irene M. Gamba;Sri Harsha Tharkabhushanam

  • 2D semiconductor device simulations by WENO-Boltzmann schemes: Efficiency, boundary conditions and comparison to Monte Carlo methods

    José A. Carrillo;Irene M. Gamba;Armando Majorana;Chi-Wang Shu

Frequent Co-Authors

Chi-Wang Shu
Chi-Wang Shu Brown University
José A. Carrillo
José A. Carrillo University of Oxford
Carlo Cercignani
Carlo Cercignani Polytechnic University of Milan
Philip Morrison
Philip Morrison The University of Texas at Austin
Shi Jin
Shi Jin Shanghai Jiao Tong University
Cédric Villani
Cédric Villani École Normale Supérieure de Rennes
Kui Ren
Kui Ren Zhejiang University
Clément Mouhot
Clément Mouhot University of Cambridge
Claude Bardos
Claude Bardos Université Paris Cité

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