Alain Miranville

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Exponential attractors for singularly perturbed damped wave equations: A simple construction

Sergey Zelik, Alain Miranville, Vittorino Pata, 2007, Asymptot. Anal..

What mathematical models can or cannot do in glioma description and understanding

Alain Miranville, Mathieu Naudin, Carole Guillevin, 2020, Discrete & Continuous Dynamical Systems - S.

Asymptotic behavior of a model for order-disorder and phase separation

Raafat Talhouk, Alain Miranville, Wafa Saoud, 2017, Asymptot. Anal..

Mathematical Modeling in Continuum Mechanics: Hints for the exercises

Roger Temam, Alain Miranville, 2005 .

Exponential decay in one-dimensional type II thermoviscoelasticity with voids

Alain Miranville, Ramón Quintanilla, R. Quintanilla, 2020, J. Comput. Appl. Math..

A qualitative analysis and numerical simulations of a nonlinear second-order anisotropic diffusion problem with non-homogeneous Cauchy-Neumann boundary conditions

Costica Morosanu, Tudor Barbu, Alain Miranville, 2019, Appl. Math. Comput..

Exponential decay in one-dimensional type III thermoelasticity with voids

Ramón Quintanilla, Alain Miranville, R. Quintanilla, 2019, Appl. Math. Lett..

Trajectory and global attractors for evolution equations with memory

Vladimir V. Chepyzhov, Alain Miranville, Vittorino Pata, 2006, Appl. Math. Lett..

Mathematical Modeling in Continuum Mechanics: References

Roger Temam, Alain Miranville, 2005 .

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

Roger Temam, Alain Miranville, Andrea Giorgini, 2018, SIAM J. Math. Anal..

The dimension of the global attractor for dissipative reaction-diffusion systems

Alain Miranville, Messoud Efendiev, 2003, Appl. Math. Lett..

Well-posedness and long time behavior of a perturbed Cahn-Hilliard system with regular potentials

Alain Miranville, Madalina Petcu, Haydi Israel, 2013, Asymptot. Anal..

A type III phase-field system with a logarithmic potential

Ramón Quintanilla, Alain Miranville, 2011, Appl. Math. Lett..

Asymptotic behavior of a generalization of the Caginalp phase-field system

Alain Miranville, Monica Conti, Filippo Dell'Oro, 2013, Asymptot. Anal..

Finite-dimensional attractors for a general class of nonautonomous wave equations

Alain Miranville, Varga K. Kalantarov, A. Eden, 2000, Appl. Math. Lett..

Relation between the pressure gradient and the flux for flows in a curved channel

Alain Miranville, A. Miranville, 2000, Appl. Math. Lett..

Mathematical modeling of brain metabolites variations in the circadian rhythm

Alain Miranville, Carole Guillevin, Rémy Guillevin, 2020 .

Smooth attractor for a nonlinear thermoelastic diffusion thin plate based on Gurtin-Pipkin's model

Alain Miranville, Moncef Aouadi, A. Miranville, 2015, Asymptot. Anal..

A Cahn–Hilliard System with a Fidelity Term for Color Image Inpainting

Alain Miranville, Laurence Cherfils, Hussein Fakih, 2015, Journal of Mathematical Imaging and Vision.

On the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard Equation with Logarithmic Nonlinear Terms

Alain Miranville, Laurence Cherfils, Hussein Fakih, 2015, SIAM J. Imaging Sci..

Bifurcations and Synchronization in Networks of Unstable Reaction–Diffusion Systems

M. A. Aziz-Alaoui, Guillaume Cantin, Alain Miranville, 2021, Journal of Nonlinear Science.

Dynamics of the 2D Navier-Stokes equations with sublinear operators in Lipschitz-like domains

Alain Miranville, Xingjie Yan, Xin-Guang Yang, 2021 .

Some generalizations of the Cahn–Hilliard equation

Alain Miranville, A. Miranville, 2000 .

Nonisothermal phase separation based on a microforce balance

Alain Miranville, Giulio Schimperna, A. Miranville, 2005 .

Asymptotic behaviour of a generalized Cahn–Hilliard equation with a proliferation term

Alain Miranville, A. Miranville, 2013 .

Numerical analysis of a Cahn–Hilliard type equation with dynamic boundary conditions

Alain Miranville, Madalina Petcu, Haydi Israel, 2015 .

Asymptotic behavior of a sixth-order Cahn-Hilliard system

Alain Miranville, A. Miranville, 2013 .

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

Alain Miranville, Giulio Schimperna, Gisèle Ruiz Goldstein, 2011 .

Annual Report 2018

Alain Miranville, A. Miranville, 2019, AIMS Mathematics.

Some models of Cahn-Hilliard equations in nonisotropic media

Alain Miranville, A. Miranville, 2000 .

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

Sergey Zelik, Alain Miranville, A. Miranville, 2009, 0904.4023.

Multi-component Cahn–Hilliard systems with dynamic boundary conditions

Alain Miranville, Monica Conti, S. Gatti, 2015 .

On a generalized Cahn-Hilliard equation with biological applications

Sergey Zelik, Alain Miranville, Laurence Cherfils, 2014 .

Mathematical Modeling in Continuum Mechanics: Magnetohydrodynamics and inertial confinement of plasmas

Roger Temam, Alain Miranville, 2005 .

Uniform exponential attractors for a singularly perturbed damped wave equation

Sergey Zelik, Alain Miranville, Pierre Fabrie, 2003 .

Higher-order anisotropic models in phase separation

Alain Miranville, Laurence Cherfils, Shuiran Peng, 2017 .

The Cahn–Hilliard–Oono equation with singular potential

Alain Miranville, Maurizio Grasselli, Andrea Giorgini, 2017 .

A Variational Approach to a Cahn–Hilliard Model in a Domain with Nonpermeable Walls

Alain Miranville, Laurence Cherfils, S. Gatti, 2013 .

INCREMENTAL UNKNOWNS IN FINITE DIFFERENCES IN THREE SPACE DIMENSIONS

Roger Temam, Alain Miranville, Min Chen, .

Mathematical Modeling in Continuum Mechanics: Index

Roger Temam, Alain Miranville, 2005 .

The Cahn–Hilliard Equation: Recent Advances and Applications

Alain Miranville, A. Miranville, 2019 .

Trajectory and global attractors of dissipative hyperbolic equations with memory

Alain Miranville, V. V. Chepyzhov, V. Chepyzhov, 2004 .

Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions

Alain Miranville, Gianni Gilardi, Giulio Schimperna, 2010 .

Higher-order Cahn–Hilliard equations with dynamic boundary conditions

Alain Miranville, Rosa Maria Mininni, Silvia Romanelli, 2017 .

On Trajectory and Global Attractors for Semilinear Heat Equations with Fading Memory

Vladimir V. Chepyzhov, Alain Miranville, 2006 .

Exponential attractors for the Cahn–Hilliard equation with dynamic boundary conditions

Sergey Zelik, Alain Miranville, A. Miranville, 2005 .

On the phase-field-crystal model with logarithmic nonlinear terms

Alain Miranville, A. Miranville, 2016 .

Sixth-order Cahn–Hilliard equations with singular nonlinear terms

Alain Miranville, A. Miranville, 2015 .

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

Alain Miranville, Gianni Gilardi, Giulio Schimperna, 2009 .

The Caginalp phase-field system with coupled dynamic boundary conditions and singular potentials

Alain Miranville, Giulio Schimperna, Maurizio Grasselli, 2010 .

Higher-Order Allen–Cahn Models with Logarithmic Nonlinear Terms

Alain Miranville, Laurence Cherfils, Shuiran Peng, 2016 .

Consistent models of Cahn–Hilliard–Gurtin equations with Neumann boundary conditions

Alain Miranville, A. Miranville, 2001 .

HYPERBOLIC RELAXATION OF THE VISCOUS CAHN–HILLIARD EQUATION IN 3-D

Alain Miranville, Vittorino Pata, Maurizio Grasselli, 2005 .

Robust exponential attractors for Cahn‐Hilliard type equations with singular potentials

Sergey Zelik, Alain Miranville, A. Miranville, 2004 .

Existence of solutions for anisotropic Cahn-Hilliard and Allen-Cahn systems in higher space dimensions

Alain Miranville, Ahmad Makki, A. Miranville, 2016 .

Exponential attractors for a singularly perturbed Cahn‐Hilliard system

Sergey Zelik, Alain Miranville, Messoud Efendiev, 2004 .

A construction of a robust family of exponential attractors

Alain Miranville, Vittorino Pata, Maurizio Grasselli, 2005 .

Sixth‐order Cahn–Hilliard systems with dynamic boundary conditions

Alain Miranville, A. Miranville, 2015 .

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

Sergey Zelik, Alain Miranville, A. Miranville, 2008 .

Finite-dimensional attractors for the Bertozzi--Esedoglu--Gillette--Cahn--Hilliardequation in image inpainting

Alain Miranville, Laurence Cherfils, Hussein Fakih, 2015 .

A Generalized Cahn-Hilliard Equation with Logarithmic Potentials

Alain Miranville, A. Miranville, 2015 .

On a phase-field model with a logarithmic nonlinearity

Alain Miranville, 2012 .

On the existence, uniqueness and regularity of solutions to the phase-field transition system with non-homogeneous Cauchy–Neumann and nonlinear dynamic boundary conditions

Alain Miranville, Costică Moroşanu, 2016 .

Memory relaxation of first order evolution equations

Alain Miranville, Vittorino Pata, Maurizio Grasselli, 2005 .

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

Sergey Zelik, Alain Miranville, Messoud Efendiev, 2005, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

On the hyperbolic relaxation of the one-dimensional Cahn–Hilliard equation☆

Alain Miranville, Vittorino Pata, Maurizio Grasselli, 2005 .

On the existence, uniqueness and regularity of solutions to the phase-field system with a general regular potential and a general class of nonlinear and non-homogeneous boundary conditions

Alain Miranville, Costică Moroşanu, Ovidiu Cârjă, 2015 .

ATTRACTORS FOR A CAGINALP MODEL WITH A LOGARITHMIC POTENTIAL AND COUPLED DYNAMIC BOUNDARY CONDITIONS

Alain Miranville, Monica Conti, S. Gatti, 2013 .

The Cahn-Hilliard Equation with Logarithmic Potentials

Sergey Zelik, Alain Miranville, Laurence Cherfils, 2011 .

Well‐posedness and long time behavior of a parabolic‐hyperbolic phase‐field system with singular potentials

Sergey Zelik, Alain Miranville, Vittorino Pata, 2007 .

Cahn–Hilliard–Navier–Stokes systems with moving contact lines

Alain Miranville, Ciprian G. Gal, Maurizio Grasselli, 2016 .

Exponential attractors for a nonlinear reaction-diffusion system in ?

Sergey Zelik, Alain Miranville, Messoud Efendiev, 2000 .