Atusi Tani

1.2k total citations
45 papers, 792 citations indexed

About

Atusi Tani is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Atusi Tani has authored 45 papers receiving a total of 792 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Applied Mathematics, 18 papers in Mathematical Physics and 18 papers in Computational Theory and Mathematics. Recurrent topics in Atusi Tani's work include Navier-Stokes equation solutions (20 papers), Advanced Mathematical Physics Problems (16 papers) and Advanced Mathematical Modeling in Engineering (13 papers). Atusi Tani is often cited by papers focused on Navier-Stokes equation solutions (20 papers), Advanced Mathematical Physics Problems (16 papers) and Advanced Mathematical Modeling in Engineering (13 papers). Atusi Tani collaborates with scholars based in Japan, Russia and Austria. Atusi Tani's co-authors include Naoto Tanaka, A. M. Khludnev, Victor A. Kovtunenko, Hiromichi Itou, Yoshiaki Kusaka, Shintaro Kondo, G. R. Liu, Tatsuo Iguchi, George Xu and Hirotada Honda and has published in prestigious journals such as Communications in Mathematical Physics, Journal of the Physical Society of Japan and Journal of Mathematical Analysis and Applications.

In The Last Decade

Atusi Tani

40 papers receiving 700 citations

Peers

Atusi Tani
Daniel Coutand United States
Harumi Hattori United States
J. Rauch United States
M. Ughi Italy
Daniel Coutand United States
Atusi Tani
Citations per year, relative to Atusi Tani Atusi Tani (= 1×) peers Daniel Coutand

Countries citing papers authored by Atusi Tani

Since Specialization
Citations

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

Fields of papers citing papers by Atusi Tani

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Atusi Tani

This figure shows the co-authorship network connecting the top 25 collaborators of Atusi Tani. A scholar is included among the top collaborators of Atusi Tani 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 Atusi Tani. Atusi Tani 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.
Tani, Atusi, et al.. (2021). Classical solvability to the initial boundary value problem for a forced foam drainage equation. Journal of Mathematical Analysis and Applications. 504(2). 125573–125573. 3 indexed citations
2.
Suzuki, Masahiro & Atusi Tani. (2019). Bifurcation analysis of the Degond–Lucquin-Desreux–Morrow model for gas discharge. Journal of Differential Equations. 268(8). 4733–4755. 4 indexed citations
3.
Kondo, Shintaro & Atusi Tani. (2016). Almost-periodic solutions to an initial boundary value problem for model equations of resistive drift wave turbulence. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. 291–333.
4.
Xu, George, G. R. Liu, & Atusi Tani. (2009). An adaptive gradient smoothing method (GSM) for fluid dynamics problems. International Journal for Numerical Methods in Fluids. 62(5). 499–529. 21 indexed citations
5.
Tanaka, Naoto, et al.. (2009). Maximal attractor and inertial set for Eguchi–Oki–Matsumura equation. Journal of Mathematical Analysis and Applications. 365(2). 638–645. 1 indexed citations
6.
Khludnev, A. M., Victor A. Kovtunenko, & Atusi Tani. (2008). Evolution of a crack with kink and non-penetration. Journal of the Mathematical Society of Japan. 60(4). 26 indexed citations
7.
Tani, Atusi, et al.. (2008). Global solvability of the free-boundary problem for one-dimensional motion of a self-gravitating viscous radiative and reactive gas. Proceedings of the Japan Academy Series A Mathematical Sciences. 84(7). 23 indexed citations
8.
Tani, Atusi, et al.. (2007). Global solution to the one-dimensional equations for a self-gravitating viscous radiative and reactive gas. Journal of Differential Equations. 234(2). 439–463. 56 indexed citations
9.
Tanaka, Naoto, et al.. (2006). ON SOME BOUNDARY VALUE PROBLEM FOR THE STOKES EQUATIONS IN AN INFINITE SECTOR. Analysis and Applications. 4(4). 357–375. 3 indexed citations
10.
Itou, Hiromichi & Atusi Tani. (2004). EXISTENCE OF A WEAK SOLUTION IN AN INFINITE VISCOELASTIC STRIP WITH A SEMI-INFINITE CRACK. Mathematical Models and Methods in Applied Sciences. 14(7). 975–986. 9 indexed citations
11.
Tanaka, Naoto, et al.. (2002). Existence of solution for Eguchi–Oki–Matsumura equation describing phase separation and order–disorder transition in binary alloys. Journal of Mathematical Analysis and Applications. 272(2). 448–457. 4 indexed citations
12.
Tani, Atusi, et al.. (2001). On the Uniqueness of the Classical Solutions of the Radial Viscous Fingering Problems in a Hele-Shaw Cell. Journal of Siberian Federal University Mathematics & Physics. 14(4). 475–482.
13.
Iguchi, Tatsuo, Naoto Tanaka, & Atusi Tani. (1997). On the two-phase free boundary problem for two-dimensional water waves. Mathematische Annalen. 309(2). 199–223. 22 indexed citations
14.
Tani, Atusi & Naoto Tanaka. (1995). Large-time existence of surface waves in incompressible viscous fluids with or without surface tension. Archive for Rational Mechanics and Analysis. 130(4). 303–314. 75 indexed citations
15.
Tani, Atusi, et al.. (1994). Solvability of the localized induction equation for vortex motion. Communications in Mathematical Physics. 162(3). 433–445. 13 indexed citations
16.
Tanaka, Naoto & Atusi Tani. (1993). Large-time existence of surface waves of compressible viscous fluid. Proceedings of the Japan Academy Series A Mathematical Sciences. 69(7). 3 indexed citations
17.
Tani, Atusi. (1985). Multiphase free boundary problem for the equations of motion of general fluids. Commentationes Mathematicae Universitatis Carolinae. 26(1). 201–208. 1 indexed citations
18.
Tani, Atusi. (1984). Two-phase free boundary problem for compressible viscous fluid motion. Kyoto journal of mathematics. 24(2). 18 indexed citations
19.
Tani, Atusi. (1981). On the free boundary value problem for compressible viscous fluid motion. Kyoto journal of mathematics. 21(4). 50 indexed citations
20.
Tani, Atusi. (1977). On the First Initial-Boundary Value Problem of Compressible Viscous Fluid Motion. Publications of the Research Institute for Mathematical Sciences. 13(1). 193–253. 173 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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