Michiel Bertsch

2.6k total citations
96 papers, 1.6k citations indexed

About

Michiel Bertsch is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Michiel Bertsch has authored 96 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 56 papers in Applied Mathematics, 47 papers in Computational Theory and Mathematics and 29 papers in Mathematical Physics. Recurrent topics in Michiel Bertsch's work include Advanced Mathematical Modeling in Engineering (45 papers), Nonlinear Partial Differential Equations (37 papers) and Stability and Controllability of Differential Equations (14 papers). Michiel Bertsch is often cited by papers focused on Advanced Mathematical Modeling in Engineering (45 papers), Nonlinear Partial Differential Equations (37 papers) and Stability and Controllability of Differential Equations (14 papers). Michiel Bertsch collaborates with scholars based in Italy, Netherlands and United States. Michiel Bertsch's co-authors include Roberta Dal Passo, M. Ughi, L. A. Peletier, Elena Beretta, Danielle Hilhorst, Г. И. Баренблатт, Morton E. Gurtin, Alberto Tesei, J. Hulshof and Róbert Kersner and has published in prestigious journals such as Proceedings of the National Academy of Sciences, SHILAP Revista de lepidopterología and Journal of Fluid Mechanics.

In The Last Decade

Michiel Bertsch

88 papers receiving 1.4k citations

Peers

Michiel Bertsch

CTM

Juan Dávila Chile

Roberta Dal Passo Italy

Giorgio Fusco Italy

Danielle Hilhorst France

Songmu Zheng China

Francisco Guillén‐González Spain

Y. S. Choi United States

M. Sammartino Italy

Ling Hsiao China

Wiktor Eckhaus Netherlands

Juan Dávila Chile

Michiel Bertsch

918 ×1.2

CTM

1.4k ×1.9

501 ×1.2

647 ×1.7

159 ×0.7

Citations per year, relative to Michiel Bertsch Michiel Bertsch (= 1×) peers Juan Dávila

Countries citing papers authored by Michiel Bertsch

Since Specialization

Citations

This map shows the geographic impact of Michiel Bertsch'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 Michiel Bertsch with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michiel Bertsch more than expected).

Fields of papers citing papers by Michiel Bertsch

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michiel Bertsch. 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 Michiel Bertsch. The network helps show where Michiel Bertsch may publish in the future.

Co-authorship network of co-authors of Michiel Bertsch

This figure shows the co-authorship network connecting the top 25 collaborators of Michiel Bertsch. A scholar is included among the top collaborators of Michiel Bertsch 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 Michiel Bertsch. Michiel Bertsch is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Bertsch, Michiel, et al.. (2025). A network-level transport model of tau progression in the Alzheimer’s brain. Mathematical Medicine and Biology A Journal of the IMA. 42(2). 212–238.

Bertsch, Michiel, et al.. (2025). Measure-valued solutions of scalar hyperbolic conservation laws, Part 2: Uniqueness. Nonlinear Analysis. 254. 113740–113740.

Bertsch, Michiel, et al.. (2024). Well-posedness of a network transport model. Nonlinear Analysis. 253. 113714–113714. 1 indexed citations

Bertsch, Michiel, et al.. (2023). The role of A$$\beta $$ and Tau proteins in Alzheimer’s disease: a mathematical model on graphs. Journal of Mathematical Biology. 87(3). 49–49. 11 indexed citations

Bertsch, Michiel, et al.. (2019). A uniqueness criterion for measure-valued solutions of scalar hyperbolic conservation laws,. Cineca Institutional Research Information System (Tor Vergata University). 5 indexed citations

Bertsch, Michiel, et al.. (2018). Radon measure-valued solutions of first order scalar conservation laws. Advances in Nonlinear Analysis. 9(1). 65–107. 8 indexed citations

Bertsch, Michiel, et al.. (2015). A note on the strong maximum principle. Journal of Differential Equations. 259(8). 4356–4375. 10 indexed citations

Bertsch, Michiel, et al.. (2013). Modeling contact inhibition of growth: Traveling waves. Networks and Heterogeneous Media. 8(1). 131–147. 6 indexed citations

Bertsch, Michiel, Roberta Dal Passo, & Masayasu Mimura. (2010). A free boundary problem arising in a simpliﬁed tumour growth model of contact inhibition. Interfaces and Free Boundaries Mathematical Analysis Computation and Applications. 12(2). 235–250. 26 indexed citations

10.

Bertsch, Michiel, et al.. (2009). Nonuniqueness of the traveling wave speed for harmonic heat flow. Journal of Differential Equations. 247(1). 69–103. 1 indexed citations

11.

Bertsch, Michiel, Roberta Dal Passo, & C.J. van Duijn. (2001). Analysis of oil trapping in porous media flow. TU/e Research Portal (Eindhoven University of Technology). 108. 1 indexed citations

12.

Bertsch, Michiel, et al.. (1999). Large time behaviour of solutions of scalar viscous and nonviscous conservation laws. Applied Mathematics Letters. 12(3). 83–87. 2 indexed citations

13.

Bertsch, Michiel & M.H.A. Klaver. (1991). On positive solutions of Δu + λf(u) = 0 with f discontinuous. Journal of Mathematical Analysis and Applications. 157(2). 417–446. 3 indexed citations

14.

Bertsch, Michiel, Morton E. Gurtin, & Danielle Hilhorst. (1987). On a degenerate diffusion equation of the form c(z)t = ϑ(zx)x with application to population dynamics. Journal of Differential Equations. 67(1). 56–89. 18 indexed citations

15.

Bertsch, Michiel & Morton E. Gurtin. (1986). On predator-prey dispersal, repulsive dispersal, and the presence of shock waves. Quarterly of Applied Mathematics. 44(2). 339–351. 1 indexed citations

16.

Bertsch, Michiel, P. de Mottoni, & L. A. Peletier. (1986). The Stefan Problem With Heating: Appearance and Disappearance of a Mushy Region. Transactions of the American Mathematical Society. 293(2). 677–677. 7 indexed citations

17.

Bertsch, Michiel, et al.. (1986). The Stefan problem with heating: appearance and disappearance of a mushy region. Transactions of the American Mathematical Society. 293(2). 677–691. 7 indexed citations

18.

Bertsch, Michiel & Rouben Rostamian. (1985). The principle of linearized stability for a class of degenerate diffusion equations. Journal of Differential Equations. 57(3). 373–405. 20 indexed citations

19.

Bertsch, Michiel & L. A. Peletier. (1984). A positivity property of solutions of nonlinear diffusion equations. Journal of Differential Equations. 53(1). 30–47. 24 indexed citations

20.

Bertsch, Michiel, P. de Mottoni, & L. A. Peletier. (1984). Degenerate diffusion and the Stefan problem. Nonlinear Analysis. 8(11). 1311–1336. 22 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.

Explore authors with similar magnitude of impact