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Alain Miranville

Alain Miranville

D-Index & Metrics

Mathematics

D-Index
45
Citations
7599
World Ranking
1486
National Ranking
87

Overview

Alain Miranville is affiliated with the University of Le Havre in France. Their research activity spans multiple fields within computational and applied mathematics, with a focus on engineering applications.

The scientist's work is prominently featured in several publication venues, including:

  • Discrete and Continuous Dynamical Systems - S
  • arXiv (Cornell University)
  • AIMS Mathematics
  • Communications on Pure & Applied Analysis
  • Journal of Mathematical Analysis and Applications

The main fields of study for Alain Miranville are Computer Science and Engineering. Their subfield contributions concentrate on Computational Theory and Mathematics, Materials Chemistry, Control and Systems Engineering, Computational Mechanics, and Mathematical Physics.

The main topics covered by their research include:

  • Advanced Mathematical Modeling in Engineering
  • Solidification and crystal growth phenomena
  • Stability and Controllability of Differential Equations
  • Mathematical Biology Tumor Growth
  • Fluid Dynamics and Thin Films
  • Advanced Mathematical Physics Problems
  • Nonlinear Dynamics and Pattern Formation

Recent papers authored or co-authored by Alain Miranville include:

  • Annual Report 2019, 2020, published in AIMS Mathematics
  • The Cahn-Hilliard equation with a nonlinear source term, 2021, published in Journal of Differential Equations
  • Long-time behavior of the Cahn-Hilliard equation with dynamic boundary condition, 2020, published in Journal of Elliptic and Parabolic Equations

The list of frequent co-authors reveals ongoing collaborations with researchers such as Xin-Guang Yang, Laurence Cherfils, Rémy Guillevin, Yuming Qin, and Ke Wang, reflecting a network of academic partnerships across interconnected topics.

Best Publications

  • Chapter 3 Attractors for Dissipative Partial Differential Equations in Bounded and Unbounded Domains

    A. Miranville;S. Zelik

  • Uniform exponential attractors for a singularly perturbed damped wave equation

    Pierre Fabrie;Cedric Galusinski;Alain Miranville;Sergey Zelik

  • Mathematical Modeling in Continuum Mechanics

    Roger Temam;Alain Miranville

  • Exponential attractors for a nonlinear reaction-diffusion system in ?

    Messoud Efendiev;Alain Miranville;Sergey Zelik

  • Robust exponential attractors for Cahn-Hilliard type equations with singular potentials

    Alain Miranville;Sergey Zelik

  • The Cahn-Hilliard Equation with Logarithmic Potentials

    Laurence Cherfils;Alain Miranville;Sergey Zelik

  • Annual Report 2018

    Alain Miranville

  • The Cahn–Hilliard Equation: Recent Advances and Applications

    Alain Miranville

  • Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems

    M. Efendiev;S. Zelik;A. Miranville

  • On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions

    Gianni Gilardi;A. Miranville;Giulio Schimperna

  • Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions

    A. Miranville;S. Zelik

  • Annual Report 2019

    Alain Miranville

  • Uniqueness and Regularity for the Navier--Stokes--Cahn--Hilliard System

    Andrea Giorgini;Alain Miranville;Roger Temam

  • Exponential attractors for a singularly perturbed Cahn-Hilliard system

    Messoud Efendiev;Alain Miranville;Sergey Zelik

  • THE CAHN-HILLIARD EQUATION WITH SINGULAR POTENTIALS AND DYNAMIC BOUNDARY CONDITIONS

    Alain Miranville;Sergey Zelik

  • The Cahn–Hilliard equation and some of its variants

    Alain Miranville

  • A Cahn-Hilliard model in a domain with non-permeable walls

    Gisèle Ruiz Goldstein;Alain Miranville;Giulio Schimperna

  • On the long time behavior of a tumor growth model

    Alain Miranville;Alain Miranville;Alain Miranville;Elisabetta Rocca;Giulio Schimperna

  • Mathematical Modeling in Continuum Mechanics: INTRODUCTION TO WAVE PHENOMENA

    Roger Temam;Alain Miranville

  • The Cahn–Hilliard–Oono equation with singular potential

    Andrea Giorgini;Maurizio Grasselli;Alain Miranville

  • On a generalized Cahn-Hilliard equation with biological applications

    Laurence Cherfils;Alain Miranville;Sergey Zelik

  • Mathematical Modeling in Continuum Mechanics: References

    Roger Temam;Alain Miranville

Frequent Co-Authors

Roger Temam
Roger Temam Indiana University
Sergey Zelik
Sergey Zelik University of Surrey
Maurizio Grasselli
Maurizio Grasselli Polytechnic University of Milan
Ramón Quintanilla
Ramón Quintanilla Universitat Politècnica de Catalunya
Vittorino Pata
Vittorino Pata Polytechnic University of Milan
Giulio Schimperna
Giulio Schimperna University of Pavia
Elisabetta Rocca
Elisabetta Rocca University of Pavia
José A. Langa
José A. Langa University of Seville
Augusto Visintin
Augusto Visintin University of Trento
José Real
José Real University of Seville

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