Joachim Escher

9.2k total citations · 3 hit papers
139 papers, 6.4k citations indexed

About

Joachim Escher is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Joachim Escher has authored 139 papers receiving a total of 6.4k indexed citations (citations by other indexed papers that have themselves been cited), including 69 papers in Applied Mathematics, 52 papers in Computational Theory and Mathematics and 38 papers in Mathematical Physics. Recurrent topics in Joachim Escher's work include Advanced Mathematical Modeling in Engineering (52 papers), Nonlinear Partial Differential Equations (33 papers) and Nonlinear Waves and Solitons (28 papers). Joachim Escher is often cited by papers focused on Advanced Mathematical Modeling in Engineering (52 papers), Nonlinear Partial Differential Equations (33 papers) and Nonlinear Waves and Solitons (28 papers). Joachim Escher collaborates with scholars based in Germany, Switzerland and United States. Joachim Escher's co-authors include Adrian Constantin, Gieri Simonett, Zhaoyang Yin, Shangbin Cui, Olaf Lechtenfeld, Yue Liu, Herbert Amann, Yue Liu, Bogdan–Vasile Matioc and Jan Prüß and has published in prestigious journals such as Journal of Fluid Mechanics, Physics Letters A and Annals of Mathematics.

In The Last Decade

Joachim Escher

135 papers receiving 5.8k citations

Hit Papers

Wave breaking for nonlinear nonlocal shallow water equations 1998 2026 2007 2016 1998 1998 1998 250 500 750 1000
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Wave breaking for nonlinear nonlocal shallow water equations
    1998 1.0k citations Adrian Constantin, Joachim Escher profile →
  2. Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation
    1998 494 citations Adrian Constantin, Joachim Escher profile →
  3. Global existence and blow-up for a shallow water equation
    1998 463 citations Adrian Constantin, Joachim Escher French digital mathematics library (Numdam) profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Joachim Escher Germany 36 3.9k 2.8k 1.8k 1.5k 1.0k 139 6.4k
Jerry L. Bona United States 45 5.5k 1.4× 5.4k 1.9× 2.0k 1.1× 214 0.1× 253 0.2× 147 8.0k
Jean‐Claude Saut France 37 2.2k 0.6× 3.2k 1.1× 1.8k 1.0× 94 0.1× 503 0.5× 118 4.4k
Catherine Sulem Canada 30 2.1k 0.5× 2.0k 0.7× 844 0.5× 50 0.0× 200 0.2× 78 4.2k
John K. Hunter United States 24 1.2k 0.3× 860 0.3× 621 0.4× 324 0.2× 74 0.1× 69 2.2k
Nail H. Ibragimov Sweden 28 3.3k 0.8× 634 0.2× 249 0.1× 691 0.4× 131 0.1× 127 4.8k
Walter Craig Canada 30 1.3k 0.3× 1.1k 0.4× 625 0.4× 62 0.0× 215 0.2× 73 3.2k
Yuji Kodama United States 43 5.6k 1.4× 955 0.3× 97 0.1× 843 0.5× 74 0.1× 163 8.0k
Nader Masmoudi United States 44 577 0.1× 2.7k 0.9× 3.9k 2.2× 35 0.0× 833 0.8× 165 5.4k
B. Nicolaenko United States 29 799 0.2× 842 0.3× 1.1k 0.6× 74 0.0× 714 0.7× 86 3.8k
Alan Weinstein United States 29 1.7k 0.4× 2.1k 0.7× 517 0.3× 1.7k 1.1× 137 0.1× 61 4.2k

Countries citing papers authored by Joachim Escher

Since Specialization
Citations

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

Fields of papers citing papers by Joachim Escher

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Joachim Escher

This figure shows the co-authorship network connecting the top 25 collaborators of Joachim Escher. A scholar is included among the top collaborators of Joachim Escher 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 Joachim Escher. Joachim Escher 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.
Chu, Jifeng & Joachim Escher. (2020). Variational formulations of steady rotational equatorial waves. Advances in Nonlinear Analysis. 10(1). 534–547. 9 indexed citations
2.
Escher, Joachim, et al.. (2017). Travelling waves in dilatant non-Newtonian thin films. Journal of Differential Equations. 264(3). 2113–2132. 1 indexed citations
3.
Escher, Joachim, Elmar Schrohe, Jörg Seiler, & Christoph Walker. (2015). Elliptic and parabolic equations, Hannover, September 2013. Springer eBooks.
4.
Bauer, Martin, Joachim Escher, & Boris Kolev. (2014). Local and global well-posedness of the fractional order EPDiff equation onRd. Journal of Differential Equations. 258(6). 2010–2053. 11 indexed citations
5.
Amann, Herbert, Joachim Escher, Patrick Guidotti, et al.. (2011). Parabolic problems : the Herbert Amann festschrift. Springer eBooks. 8 indexed citations
6.
Escher, Joachim, et al.. (2011). On stratified steady periodic water waves with linear density distribution and stagnation points. Journal of Differential Equations. 251(10). 2932–2949. 41 indexed citations
7.
Escher, Joachim, et al.. (2011). Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant. Indiana University Mathematics Journal. 60(6). 1975–2020. 4 indexed citations
8.
Escher, Joachim, et al.. (2010). The geometry of the two-component Camassa–Holm and Degasperis–Procesi equations. Journal of Geometry and Physics. 61(2). 436–452. 40 indexed citations
9.
Escher, Joachim, et al.. (2008). Well-posedness and stability of a free boundary problem modeling the growth of multi-layer tumors. Journal of Differential Equations. 244(11). 2909–2933. 16 indexed citations
10.
Escher, Joachim & Zhaoyang Yin. (2008). Initial boundary value problems for nonlinear dispersive wave equations. Journal of Functional Analysis. 256(2). 479–508. 61 indexed citations
11.
Escher, Joachim & Torsten Schlurmann. (2008). On the Recovery of the Free Surface from the Pressure within Periodic Traveling Water Waves. Journal of Nonlinear Mathematical Physics. 15(Supplement 2). 50–50. 37 indexed citations
12.
Escher, Joachim, et al.. (2007). Bifurcation for a free boundary problem with surface tension modeling the growth of multi-layer tumors. Journal of Mathematical Analysis and Applications. 337(1). 443–457. 29 indexed citations
13.
Escher, Joachim, Yue Liu, & Zhaoyang Yin. (2006). Global weak solutions and blow-up structure for the Degasperis–Procesi equation. Journal of Functional Analysis. 241(2). 457–485. 196 indexed citations
14.
Chipot, Michel & Joachim Escher. (2005). Nonlinear elliptic and parabolic problems : a special tribute to the work of Herbert Amann. CERN Document Server (European Organization for Nuclear Research). 6 indexed citations
15.
Brezis, Haı̈m, Joachim Escher, & Michel Chipot. (2005). Nonlinear Elliptic and Parabolic Problems. Birkhäuser-Verlag eBooks. 31 indexed citations
16.
Constantin, Adrian, Joachim Escher, & Zhaoyang Yin. (2003). Global solutions for quasilinear parabolic systems. Journal of Differential Equations. 197(1). 73–84. 21 indexed citations
17.
Amann, Herbert, Joachim Escher, & Gieri Simonett. (1999). Topics in nonlinear analysis : the Herbert Amann anniversary volume. Birkhäuser eBooks. 13 indexed citations
18.
Constantin, Adrian & Joachim Escher. (1998). Global existence and blow-up for a shallow water equation. French digital mathematics library (Numdam). 26(2). 303–328. 463 indexed citations breakdown →
19.
Escher, Joachim & Gieri Simonett. (1998). A Center Manifold Analysis for the Mullins–Sekerka Model. Journal of Differential Equations. 143(2). 267–292. 88 indexed citations
20.
Escher, Joachim. (1994). The Dirichlet-Neumann operator on continuous functions. French digital mathematics library (Numdam). 21(2). 235–266. 33 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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