Alain Miranville

6.4k total citations
231 papers, 4.3k citations indexed

About

Alain Miranville is a scholar working on Computational Theory and Mathematics, Materials Chemistry and Control and Systems Engineering. According to data from OpenAlex, Alain Miranville has authored 231 papers receiving a total of 4.3k indexed citations (citations by other indexed papers that have themselves been cited), including 146 papers in Computational Theory and Mathematics, 141 papers in Materials Chemistry and 99 papers in Control and Systems Engineering. Recurrent topics in Alain Miranville's work include Advanced Mathematical Modeling in Engineering (146 papers), Solidification and crystal growth phenomena (137 papers) and Stability and Controllability of Differential Equations (99 papers). Alain Miranville is often cited by papers focused on Advanced Mathematical Modeling in Engineering (146 papers), Solidification and crystal growth phenomena (137 papers) and Stability and Controllability of Differential Equations (99 papers). Alain Miranville collaborates with scholars based in France, Italy and China. Alain Miranville's co-authors include Sergey Zelik, Laurence Cherfils, R. Quintanilla, Messoud Efendiev, Maurizio Grasselli, Giulio Schimperna, Stefania Gatti, Roger Témam, Vittorino Pata and Gianni Gilardi and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Physica D Nonlinear Phenomena.

In The Last Decade

Alain Miranville

214 papers receiving 3.9k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Alain Miranville France 35 2.6k 2.5k 1.6k 961 835 231 4.3k
Michael Renardy United States 38 824 0.3× 492 0.2× 766 0.5× 647 0.7× 3.6k 4.3× 217 5.9k
Günter Leugering Germany 29 1.3k 0.5× 77 0.0× 1.4k 0.9× 570 0.6× 598 0.7× 178 3.0k
A. C. Pipkin United States 31 567 0.2× 609 0.2× 725 0.5× 288 0.3× 526 0.6× 105 5.0k
Martin Brokate Germany 16 432 0.2× 618 0.2× 1.2k 0.7× 129 0.1× 117 0.1× 78 2.2k
R. E. Showalter United States 25 1.5k 0.6× 76 0.0× 538 0.3× 929 1.0× 797 1.0× 83 2.6k
Stig Larsson Sweden 29 798 0.3× 191 0.1× 244 0.2× 171 0.2× 802 1.0× 80 2.0k
Tomáš Roubı́ček Czechia 25 1.3k 0.5× 555 0.2× 416 0.3× 440 0.5× 457 0.5× 137 2.6k
François Murat France 31 3.1k 1.2× 142 0.1× 448 0.3× 3.0k 3.1× 1.2k 1.4× 105 5.0k
Mario Primicerio Italy 22 577 0.2× 267 0.1× 97 0.1× 289 0.3× 341 0.4× 110 2.0k
David L. Russell United States 12 1.3k 0.5× 27 0.0× 931 0.6× 429 0.4× 913 1.1× 33 2.7k

Countries citing papers authored by Alain Miranville

Since Specialization
Citations

This map shows the geographic impact of Alain Miranville's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Alain Miranville with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alain Miranville more than expected).

Fields of papers citing papers by Alain Miranville

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alain Miranville. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Alain Miranville. The network helps show where Alain Miranville may publish in the future.

Co-authorship network of co-authors of Alain Miranville

This figure shows the co-authorship network connecting the top 25 collaborators of Alain Miranville. A scholar is included among the top collaborators of Alain Miranville based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Alain Miranville. Alain Miranville is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Miranville, Alain, et al.. (2025). Higher-order diffusion and Cahn–Hilliard-type models revisited on the half-line. Mathematical Models and Methods in Applied Sciences. 35(5). 1133–1197. 3 indexed citations
2.
Colli, Pierluigi, et al.. (2025). On a brain tumor growth model with lactate metabolism, viscoelastic effects, and tissue damage. Nonlinear Analysis Real World Applications. 87. 104419–104419.
3.
Miranville, Alain, et al.. (2024). On the long-time behavior of the continuous and discrete solutions of a nonlocal Cahn–Hilliard type inpainting model. Mathematics and Computers in Simulation. 225. 461–479. 1 indexed citations
4.
Qin, Yuming, et al.. (2024). Existence and regularity of global attractors for a Kirchhoff wave equation with strong damping and memory. Nonlinear Analysis Real World Applications. 79. 104096–104096. 1 indexed citations
5.
Conti, Monica, Stefania Gatti, & Alain Miranville. (2023). A perturbation of the Cahn–Hilliard equation with logarithmic nonlinearity. Journal of Differential Equations. 382. 50–76. 4 indexed citations
6.
Magaña, Antonio, Alain Miranville, & R. Quintanilla. (2020). Exponential decay of solutions in type II porous-thermo-elasticity with quasi-static microvoids. Journal of Mathematical Analysis and Applications. 492(2). 124504–124504. 7 indexed citations
7.
Giorgini, Andrea, Alain Miranville, & Roger Témam. (2019). Uniqueness and regularity for the Navier-Stokes-Cahn-Hilliard system. Virtual Community of Pathological Anatomy (University of Castilla La Mancha). 64 indexed citations
8.
Cherfils, Laurence, et al.. (2017). Higher-order anisotropic models in phase separation. Advances in Nonlinear Analysis. 8(1). 278–302. 11 indexed citations
9.
Miranville, Alain, et al.. (2017). On a reaction-diffusion system associated with brain lactate kinetics. SHILAP Revista de lepidopterología. 3 indexed citations
10.
Cherfils, Laurence, et al.. (2017). Higher-order generalized Cahn–Hilliard equations. Electronic journal of qualitative theory of differential equations. 1–22. 9 indexed citations
11.
Miranville, Alain, et al.. (2015). Well-posedness for one-dimensional anisotropic Cahn-Hilliard and Allen-Cahn systems. SHILAP Revista de lepidopterología. 3 indexed citations
12.
Miranville, Alain & Costică Moroşanu. (2015). On the existence, uniqueness and regularity of solutions to the phase-field transition system with non-homogeneous Cauchy–Neumann and nonlinear dynamic boundary conditions. Applied Mathematical Modelling. 40(1). 192–207. 17 indexed citations
13.
Cherfils, Laurence, et al.. (2015). On the Bertozzi--Esedoglu--Gillette--Cahn--Hilliard Equation with Logarithmic Nonlinear Terms. SIAM Journal on Imaging Sciences. 8(2). 1123–1140. 25 indexed citations
14.
Grasselli, Maurizio, et al.. (2010). Inertial manifolds for a singular perturbation of the viscous Cahn-Hilliard-Gurtin equation. Topological Methods in Nonlinear Analysis. 35(1). 155–185. 11 indexed citations
15.
Gatti, Stefania, Alain Miranville, Vittorino Pata, & Sergey Zelik. (2010). Continuous families of exponential attractors for singularly perturbed equations with memory. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 140(2). 329–366. 17 indexed citations
16.
Miranville, Alain & R. Quintanilla. (2009). Some generalizations of the Caginalp phase-field system. Applicable Analysis. 88(6). 877–894. 46 indexed citations
17.
Gatti, Stefania, Maurizio Grasselli, Alain Miranville, & Vittorino Pata. (2005). On the hyperbolic relaxation of the one-dimensional Cahn–Hilliard equation. Journal of Mathematical Analysis and Applications. 312(1). 230–247. 48 indexed citations
18.
Efendiev, Messoud, Alain Miranville, & Sergey Zelik. (2004). Exponential attractors for a singularly perturbed Cahn‐Hilliard system. Mathematische Nachrichten. 272(1). 11–31. 76 indexed citations
19.
Miranville, Alain & Sergey Zelik. (2002). Robust exponential attractors for singularly perturbed phase-field type equations. SHILAP Revista de lepidopterología. 34 indexed citations
20.
Cherfils, Laurence & Alain Miranville. (2000). Generalized Cahn-Hilliard equations with a logarithmic free energy.. 94(1). 19–32. 14 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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