論文

• Yoshiyuki Kagei, Hiroshi Takeda. Remarks on Global Smoothing Effect of Solutions to Nonlinear Elastic Wave Equations with Viscoelastic Term, Analysis, applications, and computations, Birkhäuser/Springer, pp. 527--536, Oct. 2023.
• Yoshiyuki Kagei, Hiroshi Takeda. Decay estimates of solutions to nonlinear elastic wave equations with viscoelastic terms in the framework of Lp-Sobolev spaces, J. Math. Anal. Appl., Vol. 519, Mar. 2023.
• Yoshiyuki Kagei, Hiroshi Takeda. Smoothing effect and large time behavior of solutions to nonlinear elastic wave equations with viscoelastic term, Nonlinear Anal., Vol. 219, June 2022.
• Yoshiyuki Kagei. On the mathematical analysis of the artificial compressibility method, Partial Differ. Equ. Appl., Vol. 2, Paper No. 65, pp. 19, Sept. 2021.
• Yoshiyuki Kagei, Chun-Hsiung Hsia, Takaaki Nishida, Yuka Teramoto. Singular limit in Hopf bifurcation for doubly diffusive convection equations II: bifurcation and stability, J. Math. Fluid Mech, Birkhaeuser Verlag, Vol. 23, No. 3, Page 35, May 2021.
• Yoshiyuki Kagei, Chun-Hsiung Hsia, Takaaki Nishida, Yuka Teramoto. Singular limit in Hopf bifurcation for doubly diffusive convection equations I: linearized analysis at criticality, J. Math. Fluid Mech., Birkhaeuser Verlag, Vol. 23, No. 3, Page 27, May 2021.
• Yoshiyuki Kagei, Shota Enomoto, Mohamad Nor Azlan. On the spectral properties for the linearized problem around space-time periodic states of the compressible Navier-Stokes equations, Mathematics, MDPI, Vol. 9, No. 7, Mar. 2021.
• Yoshiyuki Kagei. On the Chorin method for thermal convection equations for viscous incompressible fluids, RIMS Kôkyûroku Bessatsu, B80, pp. 95--112, Apr. 2020.
• Yoshiyuki Kagei, Yuka Teramoto. On the spectrum of the linearized operator around compressible Couette flows between two concentric cylinders, Birkhaeuser Verlag, Vol. 22, No. 2, Page 23, Apr. 2020.
• Yoshiyuki Kagei, Yuka Teramoto. On the spectrum of the linearized operator around compressible Couette flows between two concentric cylinders, On the spectrum of the linearized operator around compressible Couette flows between two concentric cylinders, Vol. 22, No. 2, Page 23, Apr. 2020.
• Abulizi Aihaiti, Yoshiyuki Kagei. Asymptotic behavior of solutions of the compressible Navier-Stokes equations in a cylinder under the slip boundary condition, Math. Methods Appl. Sci., Vol. 42, pp. 3428--3464, July 2019.
• Yoshiyuki Kagei, Takaaki Nishida. Traveling waves bifurcating from plane Poiseuille flow of the compressible Navier-Stokes equation, Arch. Rational Mech. Anal., Vol. 231, pp. 1--44, Jan. 2019.
• Yoshiyuki Kagei, Takaaki Nishida, Yuka Teramoto. On the spectrum for the artificial compressible system, J. Differential Equations, Vol. 264, pp. 897--928, 2018.
• Yoshiyuki Kagei, Takaaki Nishida. On Chorin's method for stationary solutions of the Oberbeck-Boussinesq equation, J. Math. Fluid Mech., Vol. 19, pp. 345--365, 2017.
• Yoshiyuki Kagei, Masatoshi Okita. Asymptotic profiles for the compressible Navier-Stokes equations on the whole space, J. Math. Anal. Appl., Vol. 445, pp. 297--317, 2017.
• Shota Enomoto, Yoshiyuki Kagei. Asymptotic behavior of the linearized semigroup at space-periodic stationary solution of the compressible Navier-Stokes equation, J. Math. Fluid Mech., Vol. 19, pp. 739--772, 2017.
• Yoshiyuki Kagei, Ruzicka Michael. The Oberbeck-Boussinesq approximation as a constitutive limit, Continuum Mechanics and Thermodynamics, Vol. 28, pp. 1411--1419, 2016.
• Abulizi Aihaiti, Shota Enomoto, Yoshiyuki Kagei. Large time behavior of solutions to the compressible Navier-Stokes equations in an infinite layer under slip boundary condition, Math. Models Meth. Appl. Sci., Vol. 26, pp. 2617--2649, 2016.
• Yoshiyuki Kagei, Ryouta Oomachi. Stability of time periodic solution of the Navier-Stokes equation on the half-space under oscillatory moving boundary condition, J. Differential Equations, Vol. 261, pp. 3366--3413, 2016.
• Reika Aoyama, Yoshiyuki Kagei. Spectral properties of the semigroup for the linearized compressible Navier-Stokes equation around a parallel flow in a cylindrical domain, Adv. Differential Equations, Vol. 21, pp. 265--300, 2016.
• Yoshiyuki Kagei, Reika Aoyama. Large time behavior of solutions to the compressible Navier-Stokes equations around a parallel flow in a cylindrical domain, Nonlinear Anal., Vol. 127, pp. 362--396, 2015.
• Yoshiyuki Kagei, Naoki Makio. Spectral properties of the linearized semigroup of the compressible Navier-Stokes equation on a periodic layer, Publ. Res. Inst. Math. Sci., Vol. 51, pp. 337--372, 2015.
• Yoshiyuki Kagei, Takaaki Nishida. Instability of plane Poiseuille flow in viscous compressible gas, J. Math. Fluid Mech., Vol. 17, pp. 129--143, 2015.
• Yoshiyuki Kagei, Kazuyuki Tsuda. Existence and stability of time periodic solution to the compressible Navier-Stokes equation for time periodic external force with symmetry, J. Differential Equations, Vol. 258, pp. 399--444, 2015.
• Jan Brezina, Yoshiyuki Kagei. Spectral properties of the linearized compressible Navier-Stokes equation around time-periodic parallel flow, J. Differential Equations, Vol. 255, pp. 1132--1195, 2013.
• Yoshiyuki Kagei. Asymptotic behavior of solutions to the compressible Navier-Stokes equation around a parallel flow, Arch. Rational Mech. Anal., Vol. 205, pp. 585--650, 2012.
• Yoshiyuki Kagei, Yasunori Maekawa. On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis, J. Differential Equations, Vol. 253, pp. 2951--2992, 2012.
• Jan Brezina, Yoshiyuki Kagei. Decay properties of solutions to the linearized compressible Navier-Stokes equation around time-periodic parallel flow, Math. Models Meth. Appl. Sci., Vol. 22, 1250007 (53 pages), 2012.
• Yoshiyuki Kagei, Yasunori Maekawa. Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance, J. Functional Analysis, Vol. 260, pp. 3036--3096, 2011.
• Yoshiyuki Kagei. Global existence of solutions to the compressible Navier-Stokes equation around parallel flows, J. Differential Equations, Vol. 251, pp. 3248--3295, 2011.
• Yoshiyuki Kagei. Asymptotic behavior of solutions of the compressible Navier-Stokes equation around the plane Couette flow, J. Math. Fluid Mech., Vol. 13, pp. 1--31, 2011.
• Yoshiyuki Kagei, Yu Nagafuchi, Takeshi Sudou. Correction to "Decay estimates on solutions of the linearized compressible Navier-Stokes equation around a Poiseuille type flow" in J. Math-for-Ind., {\bf 2} (2010A), pp. 39--56, J. Math-for-Ind., Vol. 2, pp. 235, 2010.
• Yoshiyuki Kagei, Yu Nagafuchi, Takeshi Sudou. Decay estimates on solutions of the linearized compressible Navier-Stokes equation around a Poiseuille type flow, Journal of Math-for-Industory, Vol. 2, pp. 39--56, 2010.
• Yuya Ishihara, Yoshiyuki Kagei. Large time behavior of the semigroup on $L^p$ spaces associated with the linearized compressible Navier-Stokes equation in a cylindrical domain, J. Differential Equations, Vol. 248, pp. 252--286, 2010.
• Yoshiyuki Kagei. Large time behavior of solutions to the compressible Navier-Stokes equation in an infinite layer, HIROSHIMA MATH. J., Vol. 38, pp. 95--124, 2008.
• Yoshiyuki Kagei, Takumi Nukumizu. Asymptotic behavior of solutions to the compressible Navier-Stokes equation in a cylindrical domain, Osaka J. Math., Vol. 45, pp. 987--1026, 2008.
• Yoshiyuki Kagei. Asymptotic behavior of the semigroup associated with the linearized compressible Navier-Stokes equation in an infinite layer, Publ. Res. Inst. Math. Sci., Vol. 43, pp. 763--794, 2007.
• Yoshiyuki Kagei. Resolvent estimates for the linearized compressible Navier-Stokes equation in an infinite layer, Funkcial. Ekvac., Vol. 50, pp. 287--337, 2007.
• Yoshiyuki Kagei, Shuichi Kawashima. Local solvability of initial boundary value problem for a quasilinear hyperbolic-parabolic system, Journal of Hyperbolic Differential Equations, Vol. 3, pp. 195--232, 2006.
• Yoshiyuki Kagei, Ruzicka Michael, Gudrun Thaeter. A limit problem in natural convection, NoDEA Nonlinear Differential Equations Appl., Vol. 13, pp. 447--467, 2006.
• Yoshiyuki Kagei, Shuichi Kawashima. Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space, Comm. Math. Phys., Vol. 266, pp. 401--430, 2006.
• Yoshiyuki Kagei, Takayuki Kobayashi. Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space, Arch. Rational Mech. Anal., Vol. 177, pp. 231--330, 2005.
• Yoshiyuki Kagei, Takayuki Kobayashi. On large-time behavior of solutions to the compressible Navier-Stokes equations in the half space in $R^3$, Arch. Rational Mech. Anal., Vol. 165, pp. 89--159, 2002.
• Yoshiyuki Kagei. Invariant manifolds and long-time asymptotics for the Vlasov-Poisson-Fokker-Planck equation, SIAM J. Math. Anal., Vol. 33, pp. 489--507, 2001.
• Yoshiyuki Kagei, Ruzicka Michael, Gudrun Thaeter. Natural convection with dissipative heating, Comm. Math. Phys., Vol. 214, pp. 287--313, 2000.
• Yoshiyuki Kagei, Wolf von Wahl. Asymptotic stability of steady flows in infinite layers of viscous incompressible fluids in critical cases of stability, Indiana Univ. Math. J., Vol. 48, pp. 1083--1110, 1999.
• Yoshiyuki Kagei, Wolf von Wahl. The Eckhaus criterion for convection roll solutions of the Oberbeck-Boussinesq equations, Internat. J. Non-Linear Mech., Vol. 32, pp. 563--620, 1997.
• Yoshiyuki Kagei, Wolf von Wahl. Asymptotic stability of higher order norms in terms of asymptotic energy stability for viscous incompressible fluid flows heated from below, Japan J. Indust. Appl. Math., Vol. 13, pp. 33-49, 1996.
• Yoshiyuki Kagei. Attractors for two-dimensional equations of thermal convection in the presence of the dissipation function, HIROSHIMA MATH J, Vol. 25, pp. 251--311, 1995.
• Yoshiyuki Kagei. On weak solutions of nonstationary Boussinesq equations, Differential Integral Equations, Vol. 6, pp. 587--611, 1993.
• Yoshiyuki Kagei, Maria Skowron. Nonstationary flows of nonsymmetric fluids with thermal convection, HIROSHIMA MATH. J., Vol. 23, pp. 343--363, 1993.
• Zhi Min Chen, Yoshiyuki Kagei, Tetsuro Miyakawa. Remarks on stability of purely conductive steady states to the exterior Boussinesq, Adv. Math. Sci. Appl., Vol. 1, pp. 411-430, 1992.

国際会議発表 (査読なし・不明)

• Yoshiyuki Kagei. Eckhaus instability of the compressible Taylor vortices, Recent Topics on the Mathematical Fluid Mechanics, Dec. 2023.
• Yoshiyuki Kagei. Eckhaus instability of the compressible Taylor vortices, Critical phenomena in Nonlinear Partial Differential Equations, Harmonic analysis, and Functional inequalities, Nov. 2023.
• Yoshiyuki Kagei. Eckhaus instability of the compressible Taylor vortices, International Conference on Recent Advances in Nonlinear PDEs and Their Applications, Oct. 2023.
• Yoshiyuki Kagei. Eckhaus instability of the compressible Taylor vortices, ICIAM2023, Mini-Symposium: Recent progress on mathematical theory of boundary layer, Aug. 2023.
• Yoshiyuki Kagei. Eckhaus instability of the compressible Taylor vortices, BIRS-IASM workshop ``Partial Differential Equations in Fluid Dynamics'', Aug. 2023.
• Yoshiyuki Kagei. Eckhaus instability of the compressible Taylor vortices, 2023 NCTS PDE Conference on Recent Development of Fluid Dynamics and Kinetic Theory, June 2023.

国内会議発表 (査読なし・不明)

• 隠居良行. 圧縮性 Taylor 渦の Eckhaus 不安定性, 日本数学会秋季総合分科会, Sept. 2023.
• 隠居良行, 竹田寛志. 準線形消散型弾性波方程式に対する時間周期解の安定性について, 日本数学会秋季総合分科会, Sept. 2023.

その他の論文・著書など

• Yoshiyuki Kagei. On Stability and Bifurcation in Parallel Flows of Compressible Navier-Stokes Equations, Springer Proceedings in Mathematics & Statistics, Springer, Vol. 346, pp. 71--93, Apr. 2021.
• Yoshiyuki Kagei. On stationary bifurcation problem for the compressible Navier-Stokes equations, Hyperbolic Problems, Hyperbolic Problems, Hyperbolic Problems: Theory, Numerics, Applications, American Institute of Mathematical Sciences, pp. 192--202, Feb. 2020.

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