Yoshikawa, Shuji; Kawashima, Shuichi Global existence for a semi-discrete scheme of some quasilinear hyperbolic balance laws. (English) Zbl 1459.35273 J. Math. Anal. Appl. 498, No. 1, Article ID 124929, 18 p. (2021). MSC: 35L45 35L60 39A12 35A35 65M06 PDFBibTeX XMLCite \textit{S. Yoshikawa} and \textit{S. Kawashima}, J. Math. Anal. Appl. 498, No. 1, Article ID 124929, 18 p. (2021; Zbl 1459.35273) Full Text: DOI
Kawashima, Shuichi; Ueda, Yoshihiro Mathematical entropy and Euler-Cattaneo-Maxwell system. (English) Zbl 1336.35226 Anal. Appl., Singap. 14, No. 1, 101-143 (2016). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L60 76X05 35B35 35B40 35A01 35Q31 35Q61 PDFBibTeX XMLCite \textit{S. Kawashima} and \textit{Y. Ueda}, Anal. Appl., Singap. 14, No. 1, 101--143 (2016; Zbl 1336.35226) Full Text: DOI
Kawashima, Shuichi; Wang, Yu-Zhu Global existence and asymptotic behavior of solutions to the generalized cubic double dispersion equation. (English) Zbl 1311.35141 Anal. Appl., Singap. 13, No. 3, 233-254 (2015). MSC: 35L30 35L75 35B40 PDFBibTeX XMLCite \textit{S. Kawashima} and \textit{Y.-Z. Wang}, Anal. Appl., Singap. 13, No. 3, 233--254 (2015; Zbl 1311.35141) Full Text: DOI
Dharmawardane, Priyanjana M. N.; Nakamura, Tohru; Kawashima, Shuichi Decay estimates of solutions for quasi-linear hyperbolic systems of viscoelasticity. (English) Zbl 1252.35064 SIAM J. Math. Anal. 44, No. 3, 1976-2001 (2012). Reviewer: Igor Bock (Bratislava) MSC: 35B40 35L52 74D10 PDFBibTeX XMLCite \textit{P. M. N. Dharmawardane} et al., SIAM J. Math. Anal. 44, No. 3, 1976--2001 (2012; Zbl 1252.35064) Full Text: DOI
Sugitani, Yousuke; Kawashima, Shuichi Decay estimates of solutions to a semi-linear dissipative plate equation. (English) Zbl 1207.35229 J. Hyperbolic Differ. Equ. 7, No. 3, 471-501 (2010). Reviewer: Marie Kopáčková (Praha) MSC: 35L76 35B40 74K20 PDFBibTeX XMLCite \textit{Y. Sugitani} and \textit{S. Kawashima}, J. Hyperbolic Differ. Equ. 7, No. 3, 471--501 (2010; Zbl 1207.35229) Full Text: DOI
Kobayashi, Ryo; Kawashima, Shuichi Decay estimates and large time behavior of solutions to the drift-diffusion system. (English) Zbl 1173.35366 Funkc. Ekvacioj, Ser. Int. 51, No. 3, 371-394 (2008). Reviewer: Michael Reissig (Freiberg) MSC: 35B40 35B30 35M20 82D37 35Q60 PDFBibTeX XMLCite \textit{R. Kobayashi} and \textit{S. Kawashima}, Funkc. Ekvacioj, Ser. Int. 51, No. 3, 371--394 (2008; Zbl 1173.35366) Full Text: DOI
Kawashima, Shuichi; Nikkuni, Yoshiko; Nishibata, Shinya [Liu, T.-P.] Large-time behavior of solutions to hyperbolic-elliptic coupled systems. (English) Zbl 1073.35039 Arch. Ration. Mech. Anal. 170, No. 4, 297-329 (2003). Reviewer: Grzegorz Karch (Wrocław) MSC: 35B40 35Q35 PDFBibTeX XMLCite \textit{S. Kawashima} et al., Arch. Ration. Mech. Anal. 170, No. 4, 297--329 (2003; Zbl 1073.35039) Full Text: DOI
Kawashima, Shuichi; Nikkuni, Yoshiko; Nishibata, Shinya The initial value problem for hyperbolic-elliptic coupled systems and applications to radiation hydrodynamics. (English) Zbl 0942.35048 Freistühler, Heinrich, Analysis of systems of conservation laws. Papers from the 1st summer programme of the EU-TMR Network, RWTH Aachen, Germany, August 21-30, 1997. Boca Raton, FL: Chapman & Hall/CRC. Chapman Hall/CRC Monogr. Surv. Pure Appl. Math. 99, 87-127 (1998). MSC: 35G25 35L65 35Q35 PDFBibTeX XMLCite \textit{S. Kawashima} et al., Chapman Hall/CRC Monogr. Surv. Pure Appl. Math. 99, 87--127 (1998; Zbl 0942.35048)
Kawashima, Shuichi; Shizuta, Yasushi Magnetohydrodynamic approximation of the complete equations for an electro-magnetic fluid. (English) Zbl 0605.76131 Tsukuba J. Math. 10, 131-149 (1986). Reviewer: J.J.Groß MSC: 76W05 PDFBibTeX XMLCite \textit{S. Kawashima} and \textit{Y. Shizuta}, Tsukuba J. Math. 10, 131--149 (1986; Zbl 0605.76131) Full Text: DOI
Umeda, Tomio; Kawashima, Shuichi; Shizuta, Yasushi On the decay of solutions to the linearized equations of electro-magneto- fluid dynamics. (English) Zbl 0634.76120 Japan J. Appl. Math. 1, No. 2, 435-457 (1984). MSC: 76X05 35Q99 35M99 PDFBibTeX XMLCite \textit{T. Umeda} et al., Japan J. Appl. Math. 1, No. 2, 435--457 (1984; Zbl 0634.76120) Full Text: DOI
Kawashima, Shuichi Global solution of the initial value problem for a discrete velocity model of the Boltzmann equation. (English) Zbl 0476.76071 Proc. Japan Acad., Ser. A 57, 19-24 (1981). MSC: 76P05 82B40 PDFBibTeX XMLCite \textit{S. Kawashima}, Proc. Japan Acad., Ser. A 57, 19--24 (1981; Zbl 0476.76071) Full Text: DOI