Kagei, Yoshiyuki; Takeda, Hiroshi Decay estimates of solutions to nonlinear elastic wave equations with viscoelastic terms in the framework of \(L^p\)-Sobolev spaces. (English) Zbl 1501.35063 J. Math. Anal. Appl. 519, No. 1, Article ID 126801, 35 p. (2023). MSC: 35B40 35L35 35L76 PDFBibTeX XMLCite \textit{Y. Kagei} and \textit{H. Takeda}, J. Math. Anal. Appl. 519, No. 1, Article ID 126801, 35 p. (2023; Zbl 1501.35063) Full Text: DOI
Kagei, Yoshiyuki On the mathematical analysis of the artificial compressibility method. (English) Zbl 1476.35174 SN Partial Differ. Equ. Appl. 2, No. 5, Paper No. 65, 19 p. (2021). MSC: 35Q30 76E99 76M99 PDFBibTeX XMLCite \textit{Y. Kagei}, SN Partial Differ. Equ. Appl. 2, No. 5, Paper No. 65, 19 p. (2021; Zbl 1476.35174) Full Text: DOI
Hsia, Chun-Hsiung; Kagei, Yoshiyuki; Nishida, Takaaki; Teramoto, Yuka Singular limit in Hopf bifurcation for doubly diffusive convection equations. I: Linearized analysis at criticality. (English) Zbl 1467.76027 J. Math. Fluid Mech. 23, No. 3, Paper No. 60, 27 p. (2021). MSC: 76E06 76R50 76M45 35Q35 PDFBibTeX XMLCite \textit{C.-H. Hsia} et al., J. Math. Fluid Mech. 23, No. 3, Paper No. 60, 27 p. (2021; Zbl 1467.76027) Full Text: DOI arXiv
Hsia, Chun-Hsiung; Kagei, Yoshiyuki; Nishida, Takaaki; Teramoto, Yuka Singular limit in Hopf bifurcation for doubly diffusive convection equations. II: Bifurcation and stability. (English) Zbl 1467.76026 J. Math. Fluid Mech. 23, No. 3, Paper No. 59, 35 p. (2021). MSC: 76E06 76N10 76M45 35Q35 PDFBibTeX XMLCite \textit{C.-H. Hsia} et al., J. Math. Fluid Mech. 23, No. 3, Paper No. 59, 35 p. (2021; Zbl 1467.76026) Full Text: DOI arXiv
Kagei, Yoshiyuki; Teramoto, Yuka On the spectrum of the linearized operator around compressible Couette flows between two concentric cylinders. (English) Zbl 1434.35055 J. Math. Fluid Mech. 22, No. 2, Paper No. 21, 23 p. (2020). MSC: 35Q30 76N15 PDFBibTeX XMLCite \textit{Y. Kagei} and \textit{Y. Teramoto}, J. Math. Fluid Mech. 22, No. 2, Paper No. 21, 23 p. (2020; Zbl 1434.35055) Full Text: DOI
Kagei, Yoshiyuki; Nishida, Takaaki Traveling waves bifurcating from plane Poiseuille flow of the compressible Navier-Stokes equation. (English) Zbl 1419.76539 Arch. Ration. Mech. Anal. 231, No. 1, 1-44 (2019). MSC: 76N10 35Q35 35C07 PDFBibTeX XMLCite \textit{Y. Kagei} and \textit{T. Nishida}, Arch. Ration. Mech. Anal. 231, No. 1, 1--44 (2019; Zbl 1419.76539) Full Text: DOI
Kagei, Yoshiyuki; Nishida, Takaaki; Teramoto, Yuka On the spectrum for the artificial compressible system. (English) Zbl 1378.35218 J. Differ. Equations 264, No. 2, 897-928 (2018). MSC: 35Q30 76N15 35B35 76D05 35B25 PDFBibTeX XMLCite \textit{Y. Kagei} et al., J. Differ. Equations 264, No. 2, 897--928 (2018; Zbl 1378.35218) Full Text: DOI
Enomoto, Shota; Kagei, Yoshiyuki Asymptotic behavior of the linearized semigroup at space-periodic stationary solution of the compressible Navier-Stokes equation. (English) Zbl 1395.35164 J. Math. Fluid Mech. 19, No. 4, 739-772 (2017). MSC: 35Q35 35B10 35B40 76N10 PDFBibTeX XMLCite \textit{S. Enomoto} and \textit{Y. Kagei}, J. Math. Fluid Mech. 19, No. 4, 739--772 (2017; Zbl 1395.35164) Full Text: DOI
Kagei, Yoshiyuki; Růžička, Michael The Oberbeck-Boussinesq approximation as a constitutive limit. (English) Zbl 1355.76055 Contin. Mech. Thermodyn. 28, No. 5, 1411-1419 (2016). MSC: 76Nxx PDFBibTeX XMLCite \textit{Y. Kagei} and \textit{M. Růžička}, Contin. Mech. Thermodyn. 28, No. 5, 1411--1419 (2016; Zbl 1355.76055) Full Text: DOI arXiv
Aihaiti, Abulizi; Enomoto, Shota; Kagei, Yoshiyuki Large time behavior of solutions to the compressible Navier-Stokes equations in an infinite layer under slip boundary condition. (English) Zbl 1358.35085 Math. Models Methods Appl. Sci. 26, No. 14, 2617-2649 (2016). MSC: 35Q30 76N15 35B40 PDFBibTeX XMLCite \textit{A. Aihaiti} et al., Math. Models Methods Appl. Sci. 26, No. 14, 2617--2649 (2016; Zbl 1358.35085) Full Text: DOI
Kagei, Yoshiyuki; Oomachi, Ryouta Stability of time periodic solution of the Navier-Stokes equation on the half-space under oscillatory moving boundary condition. (English) Zbl 1347.35037 J. Differ. Equations 261, No. 6, 3366-3413 (2016). MSC: 35B35 35Q30 35D30 35D35 35B10 PDFBibTeX XMLCite \textit{Y. Kagei} and \textit{R. Oomachi}, J. Differ. Equations 261, No. 6, 3366--3413 (2016; Zbl 1347.35037) Full Text: DOI
Aoyama, Reika; Kagei, Yoshiyuki Large time behavior of solutions to the compressible Navier-Stokes equations around a parallel flow in a cylindrical domain. (English) Zbl 1326.35231 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 127, 362-396 (2015). MSC: 35Q30 35Q53 35B40 76N10 76E05 PDFBibTeX XMLCite \textit{R. Aoyama} and \textit{Y. Kagei}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 127, 362--396 (2015; Zbl 1326.35231) Full Text: DOI
Kagei, Yoshiyuki; Nishida, Takaaki Instability of plane Poiseuille flow in viscous compressible gas. (English) Zbl 1320.35260 J. Math. Fluid Mech. 17, No. 1, 129-143 (2015). MSC: 35Q30 76N15 35B20 PDFBibTeX XMLCite \textit{Y. Kagei} and \textit{T. Nishida}, J. Math. Fluid Mech. 17, No. 1, 129--143 (2015; Zbl 1320.35260) Full Text: DOI Link
Kagei, Yoshiyuki; Makio, Naoki Spectral properties of the linearized semigroup of the compressible Navier-Stokes equation on a periodic layer. (English) Zbl 1327.35297 Publ. Res. Inst. Math. Sci. 51, No. 2, 337-372 (2015). Reviewer: Pavel Burda (Praha) MSC: 35Q30 35Q35 76N15 PDFBibTeX XMLCite \textit{Y. Kagei} and \textit{N. Makio}, Publ. Res. Inst. Math. Sci. 51, No. 2, 337--372 (2015; Zbl 1327.35297) Full Text: DOI
Kagei, Yoshiyuki; Tsuda, Kazuyuki Existence and stability of time periodic solution to the compressible Navier-Stokes equation for time periodic external force with symmetry. (English) Zbl 1307.35227 J. Differ. Equations 258, No. 2, 399-444 (2015). MSC: 35Q35 76N10 35B35 35B10 PDFBibTeX XMLCite \textit{Y. Kagei} and \textit{K. Tsuda}, J. Differ. Equations 258, No. 2, 399--444 (2015; Zbl 1307.35227) Full Text: DOI
Březina, Jan; Kagei, Yoshiyuki Spectral properties of the linearized compressible Navier-Stokes equation around time-periodic parallel flow. (English) Zbl 1284.35333 J. Differ. Equations 255, No. 6, 1132-1195 (2013). MSC: 35Q35 76N99 34A30 35S05 PDFBibTeX XMLCite \textit{J. Březina} and \textit{Y. Kagei}, J. Differ. Equations 255, No. 6, 1132--1195 (2013; Zbl 1284.35333) Full Text: DOI
Kagei, Yoshiyuki Asymptotic behavior of solutions to the compressible Navier-Stokes equation around a parallel flow. (English) Zbl 1282.76159 Arch. Ration. Mech. Anal. 205, No. 2, 585-650 (2012). MSC: 76N10 35Q30 PDFBibTeX XMLCite \textit{Y. Kagei}, Arch. Ration. Mech. Anal. 205, No. 2, 585--650 (2012; Zbl 1282.76159) Full Text: DOI
Kagei, Yoshiyuki; Maekawa, Yasunori On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis. (English) Zbl 1263.35037 J. Differ. Equations 253, No. 11, 2951-2992 (2012). Reviewer: Gabriela Marinoschi (Bucharest) MSC: 35B40 92C17 35C06 PDFBibTeX XMLCite \textit{Y. Kagei} and \textit{Y. Maekawa}, J. Differ. Equations 253, No. 11, 2951--2992 (2012; Zbl 1263.35037) Full Text: DOI
Březina, Jan; Kagei, Yoshiyuki Decay properties of solutions to the linearized compressible Navier-Stokes equation around time-periodic parallel flow. (English) Zbl 1241.35144 Math. Models Methods Appl. Sci. 22, No. 7, 1250007, 53 p. (2012). MSC: 35Q30 35Q35 76N15 35B40 PDFBibTeX XMLCite \textit{J. Březina} and \textit{Y. Kagei}, Math. Models Methods Appl. Sci. 22, No. 7, 1250007, 53 p. (2012; Zbl 1241.35144) Full Text: DOI
Kagei, Yoshiyuki Asymptotic behavior of solutions of the compressible Navier-Stokes equation around the plane Couette flow. (English) Zbl 1270.35348 J. Math. Fluid Mech. 13, No. 1, 1-31 (2011). MSC: 35Q30 76N10 PDFBibTeX XMLCite \textit{Y. Kagei}, J. Math. Fluid Mech. 13, No. 1, 1--31 (2011; Zbl 1270.35348) Full Text: DOI
Kagei, Yoshiyuki; Maekawa, Yasunori Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance. (English) Zbl 1250.47087 J. Funct. Anal. 260, No. 10, 3036-3096 (2011). Reviewer: Evgeniy Panov (Novgorod) MSC: 47N20 47J35 35B40 35K55 35C06 35Q35 PDFBibTeX XMLCite \textit{Y. Kagei} and \textit{Y. Maekawa}, J. Funct. Anal. 260, No. 10, 3036--3096 (2011; Zbl 1250.47087) Full Text: DOI Link
Kagei, Yoshiyuki Global existence of solutions to the compressible Navier-Stokes equation around parallel flows. (English) Zbl 1232.35117 J. Differ. Equations 251, No. 11, 3248-3295 (2011). Reviewer: Qin Mengzhao (Beijing) MSC: 35Q30 76N15 PDFBibTeX XMLCite \textit{Y. Kagei}, J. Differ. Equations 251, No. 11, 3248--3295 (2011; Zbl 1232.35117) Full Text: DOI
Ishihara, Yuya; Kagei, Yoshiyuki Large time behavior of the semigroup on \(L^p\) spaces associated with the linearized compressible Navier-Stokes equation in a cylindrical domain. (English) Zbl 1180.35412 J. Differ. Equations 248, No. 2, 252-286 (2010). MSC: 35Q30 76N15 35B40 47N20 PDFBibTeX XMLCite \textit{Y. Ishihara} and \textit{Y. Kagei}, J. Differ. Equations 248, No. 2, 252--286 (2010; Zbl 1180.35412) Full Text: DOI
Kagei, Yoshiyuki; Nukumizu, Takumi Asymptotic behavior of solutions to the compressible Navier-Stokes equation in a cylindrical domain. (English) Zbl 1161.35038 Osaka J. Math. 45, No. 4, 987-1026 (2008). MSC: 35Q30 76N15 35B40 35B45 PDFBibTeX XMLCite \textit{Y. Kagei} and \textit{T. Nukumizu}, Osaka J. Math. 45, No. 4, 987--1026 (2008; Zbl 1161.35038) Full Text: Euclid
Kagei, Yoshiyuki Asymptotic behavior of the semigroup associated with the linearized compressible Navier-Stokes equation in an infinite layer. (English) Zbl 1181.35172 Publ. Res. Inst. Math. Sci. 43, No. 3, 763-794 (2007). Reviewer: Jens Rademacher (Amsterdam) MSC: 35Q30 35B40 76N15 PDFBibTeX XMLCite \textit{Y. Kagei}, Publ. Res. Inst. Math. Sci. 43, No. 3, 763--794 (2007; Zbl 1181.35172) Full Text: DOI
Kagei, Yoshiyuki; Kawashima, Shuichi Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space. (English) Zbl 1117.35062 Commun. Math. Phys. 266, No. 2, 401-430 (2006). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 35Q30 76N10 76E30 35B35 35B40 PDFBibTeX XMLCite \textit{Y. Kagei} and \textit{S. Kawashima}, Commun. Math. Phys. 266, No. 2, 401--430 (2006; Zbl 1117.35062) Full Text: DOI
Kagei, Yoshiyuki; Kawashima, Shuichi Local solvability of an initial boundary value problem for a quasilinear hyperbolic-parabolic system. (English) Zbl 1102.35005 J. Hyperbolic Differ. Equ. 3, No. 2, 195-232 (2006). Reviewer: Nickolaj A. Lar’kin (Maringa) MSC: 35A07 PDFBibTeX XMLCite \textit{Y. Kagei} and \textit{S. Kawashima}, J. Hyperbolic Differ. Equ. 3, No. 2, 195--232 (2006; Zbl 1102.35005) Full Text: DOI
Kagei, Yoshiyuki; Kobayashi, Takayuki Asymptotic behavior of solutions of the compressible Navier-Stokes equations on the half-space. (English) Zbl 1098.76062 Arch. Ration. Mech. Anal. 177, No. 2, 231-330 (2005). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 76N10 35Q30 PDFBibTeX XMLCite \textit{Y. Kagei} and \textit{T. Kobayashi}, Arch. Ration. Mech. Anal. 177, No. 2, 231--330 (2005; Zbl 1098.76062) Full Text: DOI
Kagei, Y.; Kaiser, R.; von Wahl, W.; Xu, L. X. Global stability in some dissipative systems. (English) Zbl 0970.76032 ZAMM, Z. Angew. Math. Mech. 79, Suppl. 1, S159-S162 (1999). Reviewer: Brian D.Sleeman (Leeds) MSC: 76E07 80A20 PDFBibTeX XMLCite \textit{Y. Kagei} et al., ZAMM, Z. Angew. Math. Mech. 79, S159--S162 (1999; Zbl 0970.76032) Full Text: DOI
Kagei, Yoshiyuki; von Wahl, Wolf Asymptotic stability of higher order norms in terms of asymptotic energy stability for viscous incompressible fluid flows heated from below. (English) Zbl 0856.76024 Japan J. Ind. Appl. Math. 13, No. 1, 33-49 (1996). MSC: 76E15 76D99 35Q35 35B35 PDFBibTeX XMLCite \textit{Y. Kagei} and \textit{W. von Wahl}, Japan J. Ind. Appl. Math. 13, No. 1, 33--49 (1996; Zbl 0856.76024) Full Text: DOI