Kawashima, Shuichi; Nakasato, Ryosuke; Ogawa, Takayoshi Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect. (English) Zbl 1498.35424 Math. Models Methods Appl. Sci. 32, No. 9, 1807-1878 (2022). MSC: 35Q35 76W05 35B35 PDFBibTeX XMLCite \textit{S. Kawashima} et al., Math. Models Methods Appl. Sci. 32, No. 9, 1807--1878 (2022; Zbl 1498.35424) Full Text: DOI
Suzuki, Yukihito; Ohnawa, Masashi; Mori, Naofumi; Kawashima, Shuichi Thermodynamically consistent modeling for complex fluids and mathematical analysis. (English) Zbl 1508.35094 Math. Models Methods Appl. Sci. 31, No. 10, 1919-1949 (2021). MSC: 35Q35 76A05 35B35 35L60 35A01 PDFBibTeX XMLCite \textit{Y. Suzuki} et al., Math. Models Methods Appl. Sci. 31, No. 10, 1919--1949 (2021; Zbl 1508.35094) Full Text: DOI
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
Xu, Jiang; Kawashima, Shuichi The frequency-localization technique and minimal decay-regularity for Euler-Maxwell equations. (English) Zbl 1356.35250 J. Math. Anal. Appl. 446, No. 2, 1537-1554 (2017). MSC: 35Q82 82D10 35Q60 76X05 78A25 35B65 PDFBibTeX XMLCite \textit{J. Xu} and \textit{S. Kawashima}, J. Math. Anal. Appl. 446, No. 2, 1537--1554 (2017; Zbl 1356.35250) Full Text: DOI arXiv
Xu, Jiang; Kawashima, Shuichi The minimal decay regularity of smooth solutions to the Euler-Maxwell two-fluid system. (English) Zbl 1359.35160 J. Hyperbolic Differ. Equ. 13, No. 4, 719-733 (2016). MSC: 35Q35 35B40 35L45 82D10 76X05 35B65 76N10 78A25 35Q61 PDFBibTeX XMLCite \textit{J. Xu} and \textit{S. Kawashima}, J. Hyperbolic Differ. Equ. 13, No. 4, 719--733 (2016; Zbl 1359.35160) Full Text: DOI
Xu, Jiang; Kawashima, Shuichi Frequency-localization Duhamel principle and its application to the optimal decay of dissipative systems in low dimensions. (English) Zbl 1347.35043 J. Differ. Equations 261, No. 5, 2670-2701 (2016). MSC: 35B40 35L60 35L45 35F25 35L65 PDFBibTeX XMLCite \textit{J. Xu} and \textit{S. Kawashima}, J. Differ. Equations 261, No. 5, 2670--2701 (2016; Zbl 1347.35043) 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
Xu, Jiang; Mori, Naofumi; Kawashima, Shuichi \(L^p - L^q - L^r\) estimates and minimal decay regularity for compressible Euler-Maxwell equations. (English. French summary) Zbl 1330.35052 J. Math. Pures Appl. (9) 104, No. 5, 965-981 (2015). Reviewer: Michael Reissig (Freiberg) MSC: 35B45 35B35 35L40 35B40 82D10 35Q31 35Q61 35A09 PDFBibTeX XMLCite \textit{J. Xu} et al., J. Math. Pures Appl. (9) 104, No. 5, 965--981 (2015; Zbl 1330.35052) Full Text: DOI arXiv
Xu, Jiang; Kawashima, Shuichi The optimal decay estimates on the framework of Besov spaces for generally dissipative systems. (English) Zbl 1323.35141 Arch. Ration. Mech. Anal. 218, No. 1, 275-315 (2015). MSC: 35Q31 42B25 76N15 PDFBibTeX XMLCite \textit{J. Xu} and \textit{S. Kawashima}, Arch. Ration. Mech. Anal. 218, No. 1, 275--315 (2015; Zbl 1323.35141) Full Text: DOI arXiv
Xu, Jiang; Kawashima, Shuichi Global classical solutions for partially dissipative hyperbolic system of balance laws. (English) Zbl 1293.35173 Arch. Ration. Mech. Anal. 211, No. 2, 513-553 (2014). MSC: 35L65 35B44 35B65 35Q31 PDFBibTeX XMLCite \textit{J. Xu} and \textit{S. Kawashima}, Arch. Ration. Mech. Anal. 211, No. 2, 513--553 (2014; Zbl 1293.35173) Full Text: DOI arXiv
Dharmawardane, Priyanjana M. N.; Nakamura, Tohru; Kawashima, Shuichi Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity. (English) Zbl 1228.35137 Proc. Japan Acad., Ser. A 87, No. 6, 99-102 (2011). MSC: 35L52 74D10 35B40 35L72 PDFBibTeX XMLCite \textit{P. M. N. Dharmawardane} et al., Proc. Japan Acad., Ser. A 87, No. 6, 99--102 (2011; Zbl 1228.35137) Full Text: DOI