Yoshida, Natsumi Asymptotic behavior of solutions toward the constant state to the Cauchy problem for the non-viscous diffusive dispersive conservation law. (English) Zbl 1528.35018 J. Appl. Anal. 29, No. 2, 251-259 (2023). MSC: 35B40 35K55 35L65 PDFBibTeX XMLCite \textit{N. Yoshida}, J. Appl. Anal. 29, No. 2, 251--259 (2023; Zbl 1528.35018) Full Text: DOI arXiv
Yoshida, Natsumi Global asymptotic stability of the rarefaction waves to the Cauchy problem for the scalar non-viscous diffusive dispersive conservation laws. (English) Zbl 1512.35101 Commun. Pure Appl. Anal. 22, No. 3, 825-850 (2023). MSC: 35B40 35G25 35L65 35Q35 35Q53 PDFBibTeX XMLCite \textit{N. Yoshida}, Commun. Pure Appl. Anal. 22, No. 3, 825--850 (2023; Zbl 1512.35101) Full Text: DOI
Yoshida, Natsumi Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the generalized Benjamin-Bona-Mahony-Burgers equation with dissipative term. (English) Zbl 1498.35489 Asymptotic Anal. 130, No. 1-2, 167-185 (2022). MSC: 35Q53 35B40 PDFBibTeX XMLCite \textit{N. Yoshida}, Asymptotic Anal. 130, No. 1--2, 167--185 (2022; Zbl 1498.35489) Full Text: DOI arXiv
Yoshida, Natsumi Global structure of solutions toward the rarefaction waves for the Cauchy problem of the scalar conservation law with nonlinear viscosity. (English) Zbl 1447.35068 J. Differ. Equations 269, No. 11, 10350-10394 (2020). MSC: 35B40 35L03 35K55 35K15 35L65 PDFBibTeX XMLCite \textit{N. Yoshida}, J. Differ. Equations 269, No. 11, 10350--10394 (2020; Zbl 1447.35068) Full Text: DOI arXiv
Matsumura, Akitaka; Yoshida, Natsumi Global asymptotics toward the rarefaction waves for solutions to the Cauchy problem of the scalar conservation law with nonlinear viscosity. (English) Zbl 1446.35062 Osaka J. Math. 57, No. 1, 187-205 (2020). MSC: 35K59 35K55 35B40 35L65 PDFBibTeX XMLCite \textit{A. Matsumura} and \textit{N. Yoshida}, Osaka J. Math. 57, No. 1, 187--205 (2020; Zbl 1446.35062) Full Text: arXiv Euclid
Yoshida, Natsumi Asymptotic behavior of solutions toward the viscous shock waves to the Cauchy problem for the scalar conservation law with nonlinear flux and viscosity. (English) Zbl 1387.35349 SIAM J. Math. Anal. 50, No. 1, 891-932 (2018). MSC: 35K55 35B40 35L65 PDFBibTeX XMLCite \textit{N. Yoshida}, SIAM J. Math. Anal. 50, No. 1, 891--932 (2018; Zbl 1387.35349) Full Text: DOI
Yoshida, Natsumi Decay properties of solutions toward a multiwave pattern to the Cauchy problem for the scalar conservation law with degenerate flux and viscosity. (English) Zbl 1383.35125 J. Differ. Equations 263, No. 11, 7513-7558 (2017). Reviewer: Jörg Härterich (Bochum) MSC: 35L65 35B40 35B35 35K92 PDFBibTeX XMLCite \textit{N. Yoshida}, J. Differ. Equations 263, No. 11, 7513--7558 (2017; Zbl 1383.35125) Full Text: DOI arXiv
Yoshida, Natsumi Asymptotic behavior of solutions toward a multiwave pattern to the Cauchy problem for the scalar conservation law with the Ostwald-de Waele-type viscosity. (English) Zbl 1377.35152 SIAM J. Math. Anal. 49, No. 3, 2009-2036 (2017). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K55 35B40 35L65 PDFBibTeX XMLCite \textit{N. Yoshida}, SIAM J. Math. Anal. 49, No. 3, 2009--2036 (2017; Zbl 1377.35152) Full Text: DOI arXiv
Yoshida, Natsumi Decay properties of solutions to the Cauchy problem for the scalar conservation law with nonlinearly degenerate viscosity. (English) Zbl 1329.35070 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 128, 48-76 (2015). MSC: 35B40 35L65 35K15 35L45 PDFBibTeX XMLCite \textit{N. Yoshida}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 128, 48--76 (2015; Zbl 1329.35070) Full Text: DOI arXiv
Yoshida, Natsumi Decay properties of solutions toward a multiwave pattern for the scalar viscous conservation law with partially linearly degenerate flux. (English) Zbl 1284.35082 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 96, 189-210 (2014). MSC: 35B40 35L65 PDFBibTeX XMLCite \textit{N. Yoshida}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 96, 189--210 (2014; Zbl 1284.35082) Full Text: DOI arXiv