論文

• Tohru Nakamura, Shinya Nishibata, Naoto Usami. Convergence rate of solutions towards the stationary solutions to symmetric hyperbolic-parabolic systems in half space, Kinetic and Related Models, Vol. 11, No. 4, pp. 757-793, Aug. 2018.
• Tohru Nakamura, Shinya Nishibata. Existence and asymptotic stability of stationary waves for symmetric hyperbolic–parabolic systems in halfline, Mathematical Models and Methods in Applied Sciences (M3AS), Vol. 27, No. 11, pp. 2071--2110, Sept. 2017.
• Shinya Nishibata. Outflow/inflow problems to symmetric hyperbolic-parabolic systems, RIMS Kôkyûroku Bessatsu, Vol. B67, Aug. 2017.
• Tohru Nakamura, Shinya Nishibata. Boundary layer solution to system of viscous conservation laws in half line, Bull. Braz. Math. Soc., Vol. 47, pp. 619-630, 2016.
• Shinya Nishibata, Masashi Ohnawa, Masahiro Suzuki. The mathematical justication of the Bohm criterion in plasma physics, Advanced Studies in Pure Mathematics, Vol. 64, pp. 489-495, 2015.
• Shinya Nishibata, Masashi Ohnawa, Masahiro Suzuki. Nonlinear stability of boundary layer solutions to the Euler-Poisson equations in plasma physics, Hyperbolic Problems: Theory, Numerics, Applications, pp. 817-822, 2014.
• Tohru Nakamura, Shinya Nishibata. Energy estimate for a linear symmetric hyperbolic-parabolic system in half line, Kinetic and Related Models, Vol. 8, pp. 883-892, 2013.
• Shinya Nishibata, Masahiro Suzuki, Masashi Ohnawa. Asymptotic stability of boundary layers to the Euler-Poisson equations arising in plasma physics, SIAM J. Math. Anal., Vol. 44, pp. 761-790, 2012.
• Tohru Nakamura, Shinya Nishibata. Stationary wave associated with an inflow problem in the half line for viscous heat-conductive gas, Journal of Hyperbolic Differential Equations, Vol. 8, pp. 651-670, 2011.
• Shuichi Kawashima, Tohru Nakamura, Shinya Nishibata, Peicheng Zhu. Stationary waves to viscous heat-conductive gases in half space: existence, stability and convergence rate, Math. Models and Methods Appl. Sci., Vol. 20, pp. 2201-2235, 2010.
• Shinya Nishibata, Masahiro Suzuki. Relaxation limit and initial layer to hydrodynamic models for semiconductors, Journal of Differential Equations, Vol. 249, pp. 1385-1409, 2010.
• Shinya Nishibata, Masahiro Suzuki. Asymptotic stability of a stationary solution to a heat-conductive hydrodynamic model for semiconductors, Archive for Rational Mechanics and Analysis, Vol. 192, pp. 187-215, 2009.
• Tohru Nakamura, Shinya Nishibata. Convergence rate toward planar stationary waves for compressible viscous fluid in multi-dimensional half space, SIAM Journal on Mathematical Analysis, Vol. 41, pp. 1757-1791, 2009.
• Shinya Nishibata, Masahiro Suzuki. Stationary solutions of a hydrodynamic model for semiconductors, 数理解析研究所講究録別冊, Vol. B15, pp. 179-187, 2009.
• Tohru Nakamura, Shinya Nishibata. Large-time behavior of spherically symmetric flow of heat-conductive gas in a field of potential forces, Indiana Univ. Math. J., Vol. 57, no. 2, pp. 1019-1054, 2008.
• Shinya Nishibata, Masahiro Suzuki. Initial boundary value problems for a quantum hydrodynamic model of semiconductors: asymptotic behaviors and classical limits, Journal of Differential Equations, Vol. 244, no. 4, pp. 836-874, 2008.
• Shinya Nishibata, Masahiro Suzuki. Asymptotic stability of a stationary solution to a hydrodynamic model for semiconductors, Osaka Journal of Mathematics, Vol. 44, pp. 639-665, Sept. 2007.
• Masataka Nishikawa, Shinya Nishibata. Convergence rates toward the traveling waves for a model system of the radiating gas, Math. Meth. Appl. Sci., Vol. 30, pp. 649-663, 2007.
• Tohro Nakanura, Shinya Nishibata, Takeshi Yuge. Convergence rates toward the stationary solution for the compressible Navier--Stokes equation in half space, Journal of Differential Equations, Vol. 241, pp. 94-111, 2007.
• Shuichi Kawashima, Yoshiko Nikkuni, Shinya Nishibata. Large-time behavior of solutions to hyperbolic-elliptic coupled systems, Arch. Rational Mech. Anal., Vol. 170, No. 4, pp. 297-329, 2003.

著書

• Shinya Nishibata, Masahiro Suzuki. Hierarchy of semiconductor equations: relaxation limits with initial layers for large initial data, MSJ Memoir, The Mathematical Society of Japan, Vol. 26, pp. 1-113, 2011.

国際会議発表 (査読有り)

• Tohru Nakamura, Shinya Nishibata. Half space problem for the compressible Navier-Stokes equation, International Conference on Hyperbolic Problems: Theory, Hyperbolic Problems: Theory, Numerics and Applications, Proceedings of Symposia in Applied Mathematics, Vol. 67, No. 2, pp. 805-814, 2009.
• Shinya Nishibata, Masahiro Suzuki. A review of semiconductor models: Global solvability and hierarchy, International Conference on Hyperbolic Problems: Theory, Hyperbolic Problems: Theory, Numerics and Applications, Proceedings of Symposia in Applied Mathematics, Vol. 67, No. 1, pp. 315-330, 2009.
• Tohru Nakamura, Shinya Nishibata. Asymptotic behavior of spherically symmetric flow for viscous heat-conductive gas, Proceedings of the fourth International Conference on Nonlinear Analysis and Convex Analysis, Yokohama Publishers, pp. 451-459, 2007.
• Shinya Nishibata, Masahiro Suzuki. A stationary solution for a fluid dynamical model of semiconductor, Suurikaisekikenkyusho Kokyuroku, Vol. 1495, pp. 71-77, May 2006.
• Tohru Nakamura, Shinya Nishibata. Large-time behavior of spherically symmetric flow for viscous heat-conductive gas, Suurikaisekikenkyusho Kokyuroku, Vol. 1425, pp. 150-159, Apr. 2005.
• Tohru Nakamura, Shinya Nishibata, Shigenori Yanagi. Asymptotic behavior of spherically symmetric solutions to the compressible Navier-Stokes equations with external forces, Suurikaisekikenkyusho Kokyuroku, Vol. 1353, pp. 102-112, 2004.
• Shinya Nishibata. Asymptotic behavior of spherically symmetric solutions to the compressible Navier-Stokes equation with external forces, Hokkaido University Technical Report Series in Mathematics, Vol. 77, pp. 25-32, 2003.
• Shuichi Kawashima, Shinya Nishibata. Stationary waves for the discrete Boltzmann equations in the half space, Hyperbolic Problems: Theory, Numerics, Applications, Birkhauser, ISNM, Hyperbolic Problems: Theory, Numerics, Applications, Birkhauser, ISNM, Vol. 141, pp. 593-602, 2001.
• Shinya Nishibata. Stationary waves for the discrete Boltzmann equations in the half space with reflection boundary conditions, Suurikaisekikenkyusho Kokyuroku, Vol. 1146, pp. 143-153, 2000.
• Shuichi Kawashima, Shinya Nishibata. Weak solutions with a shock for a model system of the radiating gas, Science Bulletin of Josai University, Vol. 5, pp. 119-130, 1998.

国際会議発表 (査読なし・不明)

• Shinya Nishibata. Asymptotic behavior of solutions to heat-conductive viscous gas in half space, 7th East Asia Conference on Partial Differential Equations, Dec. 2009.
• Shinya Nishibata. Asymptotic stability of stationary solutions to heat-conductive viscous gas in half space, 2009 NIMS Hot Topic Workshop on Kinetic Theory and Fluid Dynamics, Oct. 2009.
• Shinya Nishibata. Model hierarchy of semiconductor equations: Relaxation and classical limits, International Conference on Applied Analysis and Scientific Computation, June 2009.
• Shinya Nishibata. Hierarchy of semiconductor equations: Relaxation and classical limits, International Conference on Kinetic and Related Models, Apr. 2009.
• Shinya Nishibata. Model hierarchy of equations for semiconductors, Mathematical Analysis on the Self-organization and Self-similarity, Sept. 2008.
• Shinya Nishibata. Relaxation limit of time global solutions to a hydrodynamic model of semiconductors, International Workshop dedicated to several aspects of Mathematical Fluid Dynamics, Sept. 2008.
• Shinya Nishibata. Stationary waves to the compressible Navier-Stokes equation in multi-dimensional half space, Parabolic and Navier-Stokes Equations in honour of Profesor Vsevolod Alekseevich Solonnikov, Sept. 2008.
• Shinya Nishibata. Relaxation limits and asymptotic behaviors of solutions to the hydrodynamic model for semiconductors, 12th Int. Conf. on Hyperbolic Problems,, June 2008.
• Shinya Nishibata. Mathematical analysis on model hierarchy of equations for semiconductors, Mathematical modeling and simulation of advanced semiconductor device, Mar. 2008.
• Shinya Nishibata. Heat-conductive hydrodynamic model for semiconductors: asymptotic behavior and relaxation limit, The 2nd international conference on conservation laws and kinetic equations, Nov. 2007.
• Shinya Nishibata. Asymptotic behavior of solutions to fluid dynamic model for semiconductor, COE Conference on the Development of Dynamic Mathematics with High Functionality, Oct. 2007.
• Shinya Nishibata. Convergence rate of solutions toward stationary solutions to the compressible Navier-Stokes equation in multi-dimensional half space, FRG Conference, June 2007.
• Shinya Nishibata. Asymptotic behavior of solutions to heat-conductive hydrodynamic model for semiconductor, International Conference on Nonlinear Partial Differential Equations and Their Applications, June 2007.
• Shinya Nishibata. Asymptotic stability of a stationary solution to a heat-conductive hydrodynamic model for semiconductors, The 24th Kyushu Symposium of Partial Differential Equations, Jan. 2007.
• Shinya Nishibata. Asymptotic stability of the stationary solution to the quantum hydrodynamic model for semiconductors, International Conference on Nonlinear Evolutionary Partial Differential Equations, Aug. 2006.
• Shinya Nishibata. Asymptotic behavior of solutions to the quantum hydrodynamic model for semiconductors, General Relativity & Shock Wave Theory, A conference in honor of Joel Smoller on his 70th Birthday, Apr. 2006.

国内会議発表 (査読なし・不明)

• Shinya Nishibata. Relaxation and classical limits of quantum hydrodynamic model for semiconductors, 第27回九州における偏微分方程式研究集会, Jan. 2010.
• 西畑伸也. 熱伝導圧縮性粘性流体の半空間上の定常解について, 偏微分方程式と現象：PDEs and Phenomena in Miyazaki 2009, Nov. 2009.
• 中村徹, 西畑伸也. 熱伝導圧縮性粘性流体の Inflow 問題における定常解について, 日本数学会２００９年度秋季総合分科会, Sept. 2009.
• 中村徹, 西畑伸也. 半空間における熱伝導圧縮性粘性流体の定常波について, 第58回理論応用力学講演会, June 2009.
• 西畑伸也. 半空間上での圧縮性ナビエストークス方程式の定常解について, 非線形波動現象の数理と応用, Oct. 2008.
• 中村徹, 西畑伸也. 半直線上の熱伝導圧縮性粘性流体の定常解について, 日本数学会, Sept. 2008.
• 鈴木政尋, 西畑伸也. 半導体の heat-conductive hydorodynamic model の緩和極限, 日本数学会, Sept. 2008.
• 重田尚孝, 西畑伸也. 半導体中の電子流を記述する quantum drift-diffusion モデルの定常解について, 日本数学会, Sept. 2008.
• 鈴木政尋, 西畑伸也. 半導体のenergy transport model の緩和極限, 日本数学会, Mar. 2008.
• 鈴木政尋, 西畑伸也. 半導体の流体力学モデルの緩和時間極限について, 日本数学会, Sept. 2007.
• 中村徹, 西畑伸也. 多次元半空間における圧縮性粘性流体の縮退定常波の漸近安定性, 日本数学会, Sept. 2007.
• 鈴木政尋, 西畑伸也. 半導体の熱伝導流体力学モデルの時間大域解の挙動, 日本数学会, Mar. 2007.
• 西畑伸也. 量子効果を含む半導体の流体力学モデルに対する数学解析, 応用物理学会分科会シリコンテクノロジー, Nov. 2006.
• 中村徹, 西畑伸也. ２次元半空間における圧縮性Navier--Stokes方程式の解の定常解への漸近レート, 日本数学会, Sept. 2006.
• 鈴木政尋, 西畑伸也. 量子効果を考慮した半導体の流体力学モデルI：時間大域解の挙動, 日本数学会, Sept. 2006.
• 鈴木政尋, 西畑伸也. 量子効果を考慮した半導体の流体力学モデルII：古典極限, 日本数学会, Sept. 2006.

学位論文

• Hyperbolic conservation laws with relaxation,  本文,  Ph.D.,  Stanford University,  1994/--/--, 

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