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## Kagei, Yoshiyuki

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 Author ID: kagei.yoshiyuki Published as: Kagei, Y.; Kagei, Yoshiuki; Kagei, Yoshiyuki
 Documents Indexed: 54 Publications since 1992, including 1 Book
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#### Co-Authors

 16 single-authored 5 von Wahl, Wolf 4 Nishida, Takaaki 3 Kobayashi, Takayuki 3 Růžička, Michael 2 Aihaiti, Abulizi 2 Aoyama, Reika 2 Březina, Jan 2 Enomoto, Shota 2 Kawashima, Shuichi 2 Maekawa, Yasunori 2 Nagafuchi, Yu 2 Sudou, Takeshi 2 Teramoto, Yuka 2 Thäter, Gudrun 1 Adachi, Tsuyoshi 1 Chen, Zhimin 1 Giga, Yoshikazu 1 Hishida, Toshiaki 1 Ishihara, Yuya 1 Kaiser, Ralf 1 Kozono, Hideo 1 Makio, Naoki 1 Miyakawa, Tetsuro 1 Nukumizu, Takumi 1 Ogawa, Takayoshi 1 Okita, Masatoshi 1 Oomachi, Ryouta 1 Skowron, Maria 1 Tsuda, Kazuyuki 1 Xu, Lanxi
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#### Serials

 7 Journal of Differential Equations 5 Journal of Mathematical Fluid Mechanics 4 Archive for Rational Mechanics and Analysis 3 Hiroshima Mathematical Journal 3 RIMS Kokyuroku 2 Communications in Mathematical Physics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Differential and Integral Equations 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Math-for-Industry 1 International Journal of Non-Linear Mechanics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Funkcialaj Ekvacioj. Serio Internacia 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Osaka Journal of Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Advances in Mathematical Sciences and Applications 1 Continuum Mechanics and Thermodynamics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of Hyperbolic Differential Equations 1 GAKUTO International Series. Mathematical Sciences and Applications 1 RIMS Kôkyûroku Bessatsu
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#### Fields

 51 Partial differential equations (35-XX) 49 Fluid mechanics (76-XX) 4 Classical thermodynamics, heat transfer (80-XX) 2 Operator theory (47-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

43 Publications have been cited 398 times in 204 Documents Cited by Year
Asymptotic behavior of solutions of the compressible Navier-Stokes equations on the half-space. Zbl 1098.76062
Kagei, Yoshiyuki; Kobayashi, Takayuki
2005
On large-time behavior of solutions to the compressible Navier-Stokes equations in the half space in $$\mathbb R^3$$. Zbl 1016.35055
Kagei, Yoshiuki; Kobayashi, Takayuki
2002
Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space. Zbl 1117.35062
Kagei, Yoshiyuki; Kawashima, Shuichi
2006
Large time behavior of solutions to the compressible Navier-Stokes equation in an infinite layer. Zbl 1151.35072
Kagei, Yoshiyuki
2008
Local solvability of an initial boundary value problem for a quasilinear hyperbolic-parabolic system. Zbl 1102.35005
Kagei, Yoshiyuki; Kawashima, Shuichi
2006
On weak solutions of nonstationary Boussinesq equations. Zbl 0785.35078
Kagei, Yoshiyuki
1993
Asymptotic behavior of solutions to the compressible Navier-Stokes equation around a parallel flow. Zbl 1282.76159
Kagei, Yoshiyuki
2012
Natural convection with dissipative heating. Zbl 0986.76083
Kagei, Y.; Růžička, M.; Thäter, G.
2000
Existence and stability of time periodic solution to the compressible Navier-Stokes equation for time periodic external force with symmetry. Zbl 1307.35227
Kagei, Yoshiyuki; Tsuda, Kazuyuki
2015
Asymptotic behavior of solutions of the compressible Navier-Stokes equation around the plane Couette flow. Zbl 1270.35348
Kagei, Yoshiyuki
2011
Asymptotic behavior of the semigroup associated with the linearized compressible Navier-Stokes equation in an infinite layer. Zbl 1181.35172
Kagei, Yoshiyuki
2007
Spectral properties of the linearized compressible Navier-Stokes equation around time-periodic parallel flow. Zbl 1284.35333
Březina, Jan; Kagei, Yoshiyuki
2013
Decay estimates on solutions of the linearized compressible Navier-Stokes equation around a Poiseuille type flow. Zbl 1206.35195
Kagei, Yoshiyuki; Nagafuchi, Yu; Sudou, Takeshi
2010
Resolvent estimates for the linearized compressible Navier-Stokes equation in an infinite layer. Zbl 1180.35413
Kagei, Yoshiyuki
2007
Attractors for two-dimensional equations of thermal convection in the presence of the dissipation function. Zbl 0843.35074
Kagei, Yoshiyuki
1995
Spectral properties of the semigroup for the linearized compressible Navier-Stokes equation around a parallel flow in a cylindrical domain. Zbl 1382.35204
Aoyama, Reika; Kagei, Yoshiyuki
2016
On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis. Zbl 1263.35037
Kagei, Yoshiyuki; Maekawa, Yasunori
2012
Decay properties of solutions to the linearized compressible Navier-Stokes equation around time-periodic parallel flow. Zbl 1241.35144
Březina, Jan; Kagei, Yoshiyuki
2012
Asymptotic behavior of solutions to the compressible Navier-Stokes equation in a cylindrical domain. Zbl 1161.35038
Kagei, Yoshiyuki; Nukumizu, Takumi
2008
The Eckhaus criterion for convection roll solutions of the Oberbeck-Boussinesq equations. Zbl 0891.76035
Kagei, Yoshiyuki; von Wahl, Wolf
1997
Remarks on stability of purely conductive steady states to the exterior Boussinesq problem. Zbl 0777.35055
Chen, Zhimin; Kagei, Yoshiyuki; Miyakawa, Tetsuro
1992
On Chorin’s method for stationary solutions of the Oberbeck-Boussinesq equation. Zbl 1373.35219
Kagei, Yoshiyuki; Nishida, Takaaki
2017
Instability of plane Poiseuille flow in viscous compressible gas. Zbl 1320.35260
Kagei, Yoshiyuki; Nishida, Takaaki
2015
Global existence of solutions to the compressible Navier-Stokes equation around parallel flows. Zbl 1232.35117
Kagei, Yoshiyuki
2011
On two-dimensional equations of thermal convection in the presence of the dissipation function. Zbl 0930.35135
Kagei, Yoshiyuki
1998
Stability of higher norms in terms of energy-stability for the Boussinesq equations: Remarks on the asymptotic behaviour of convection-roll-type solutions. Zbl 0818.76023
Kagei, Yoshiyuki; von Wahl, Wolf
1994
The Oberbeck-Boussinesq approximation as a constitutive limit. Zbl 1355.76055
Kagei, Yoshiyuki; Růžička, Michael
2016
Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance. Zbl 1250.47087
Kagei, Yoshiyuki; Maekawa, Yasunori
2011
Invariant manifolds and long-time asymptotics for the Vlasov–Poisson–Fokker–Planck equation. Zbl 0999.35011
Kagei, Yoshiyuki
2001
Nonstationary flows of nonsymmetric fluids with thermal convection. Zbl 0791.76004
Kagei, Yoshiyuki; Skowron, Maria
1993
On the spectrum for the artificial compressible system. Zbl 1378.35218
Kagei, Yoshiyuki; Nishida, Takaaki; Teramoto, Yuka
2018
Asymptotic profiles for the compressible Navier-Stokes equations in the whole space. Zbl 1358.35092
Kagei, Yoshiyuki; Okita, Masatoshi
2017
Large time behavior of solutions to the compressible Navier-Stokes equations around a parallel flow in a cylindrical domain. Zbl 1326.35231
Aoyama, Reika; Kagei, Yoshiyuki
2015
Spectral properties of the linearized semigroup of the compressible Navier-Stokes equation on a periodic layer. Zbl 1327.35297
Kagei, Yoshiyuki; Makio, Naoki
2015
Large time behavior of the semigroup on $$L^p$$ spaces associated with the linearized compressible Navier-Stokes equation in a cylindrical domain. Zbl 1180.35412
Ishihara, Yuya; Kagei, Yoshiyuki
2010
Traveling waves bifurcating from plane Poiseuille flow of the compressible Navier-Stokes equation. Zbl 1419.76539
Kagei, Yoshiyuki; Nishida, Takaaki
2019
Asymptotic behavior of the linearized semigroup at space-periodic stationary solution of the compressible Navier-Stokes equation. Zbl 1395.35164
Enomoto, Shota; Kagei, Yoshiyuki
2017
Stability of time periodic solution of the Navier-Stokes equation on the half-space under oscillatory moving boundary condition. Zbl 1347.35037
Kagei, Yoshiyuki; Oomachi, Ryouta
2016
Correction to “Decay estimates on solutions of the linearized compressible Navier-Stokes equation around a Poiseuille type flow” in J. Math-for-Ind. 2A (2010), pp. 39–56. Zbl 1206.35196
Kagei, Yoshiyuki; Nagafuchi, Yu; Sudou, Takeshi
2010
A limit problem in natural convection. Zbl 1147.35326
Kagei, Yoshiyuki; Růžička, Michael; Thäter, Gudrun
2006
On thermal convection equations of Oberbeck-Boussinesq type with the dissipation function. Zbl 0968.76593
Kagei, Yoshiyuki
2000
Asymptotic stability of steady flows in infinite layers of viscous incompressible fluids in critical cases of stability. Zbl 0939.76030
Kagei, Yoshiyuki; von Wahl, Wolf
1999
Asymptotic stability of higher order norms in terms of asymptotic energy stability for viscous incompressible fluid flows heated from below. Zbl 0856.76024
Kagei, Yoshiyuki; von Wahl, Wolf
1996
Traveling waves bifurcating from plane Poiseuille flow of the compressible Navier-Stokes equation. Zbl 1419.76539
Kagei, Yoshiyuki; Nishida, Takaaki
2019
On the spectrum for the artificial compressible system. Zbl 1378.35218
Kagei, Yoshiyuki; Nishida, Takaaki; Teramoto, Yuka
2018
On Chorin’s method for stationary solutions of the Oberbeck-Boussinesq equation. Zbl 1373.35219
Kagei, Yoshiyuki; Nishida, Takaaki
2017
Asymptotic profiles for the compressible Navier-Stokes equations in the whole space. Zbl 1358.35092
Kagei, Yoshiyuki; Okita, Masatoshi
2017
Asymptotic behavior of the linearized semigroup at space-periodic stationary solution of the compressible Navier-Stokes equation. Zbl 1395.35164
Enomoto, Shota; Kagei, Yoshiyuki
2017
Spectral properties of the semigroup for the linearized compressible Navier-Stokes equation around a parallel flow in a cylindrical domain. Zbl 1382.35204
Aoyama, Reika; Kagei, Yoshiyuki
2016
The Oberbeck-Boussinesq approximation as a constitutive limit. Zbl 1355.76055
Kagei, Yoshiyuki; Růžička, Michael
2016
Stability of time periodic solution of the Navier-Stokes equation on the half-space under oscillatory moving boundary condition. Zbl 1347.35037
Kagei, Yoshiyuki; Oomachi, Ryouta
2016
Existence and stability of time periodic solution to the compressible Navier-Stokes equation for time periodic external force with symmetry. Zbl 1307.35227
Kagei, Yoshiyuki; Tsuda, Kazuyuki
2015
Instability of plane Poiseuille flow in viscous compressible gas. Zbl 1320.35260
Kagei, Yoshiyuki; Nishida, Takaaki
2015
Large time behavior of solutions to the compressible Navier-Stokes equations around a parallel flow in a cylindrical domain. Zbl 1326.35231
Aoyama, Reika; Kagei, Yoshiyuki
2015
Spectral properties of the linearized semigroup of the compressible Navier-Stokes equation on a periodic layer. Zbl 1327.35297
Kagei, Yoshiyuki; Makio, Naoki
2015
Spectral properties of the linearized compressible Navier-Stokes equation around time-periodic parallel flow. Zbl 1284.35333
Březina, Jan; Kagei, Yoshiyuki
2013
Asymptotic behavior of solutions to the compressible Navier-Stokes equation around a parallel flow. Zbl 1282.76159
Kagei, Yoshiyuki
2012
On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis. Zbl 1263.35037
Kagei, Yoshiyuki; Maekawa, Yasunori
2012
Decay properties of solutions to the linearized compressible Navier-Stokes equation around time-periodic parallel flow. Zbl 1241.35144
Březina, Jan; Kagei, Yoshiyuki
2012
Asymptotic behavior of solutions of the compressible Navier-Stokes equation around the plane Couette flow. Zbl 1270.35348
Kagei, Yoshiyuki
2011
Global existence of solutions to the compressible Navier-Stokes equation around parallel flows. Zbl 1232.35117
Kagei, Yoshiyuki
2011
Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance. Zbl 1250.47087
Kagei, Yoshiyuki; Maekawa, Yasunori
2011
Decay estimates on solutions of the linearized compressible Navier-Stokes equation around a Poiseuille type flow. Zbl 1206.35195
Kagei, Yoshiyuki; Nagafuchi, Yu; Sudou, Takeshi
2010
Large time behavior of the semigroup on $$L^p$$ spaces associated with the linearized compressible Navier-Stokes equation in a cylindrical domain. Zbl 1180.35412
Ishihara, Yuya; Kagei, Yoshiyuki
2010
Correction to “Decay estimates on solutions of the linearized compressible Navier-Stokes equation around a Poiseuille type flow” in J. Math-for-Ind. 2A (2010), pp. 39–56. Zbl 1206.35196
Kagei, Yoshiyuki; Nagafuchi, Yu; Sudou, Takeshi
2010
Large time behavior of solutions to the compressible Navier-Stokes equation in an infinite layer. Zbl 1151.35072
Kagei, Yoshiyuki
2008
Asymptotic behavior of solutions to the compressible Navier-Stokes equation in a cylindrical domain. Zbl 1161.35038
Kagei, Yoshiyuki; Nukumizu, Takumi
2008
Asymptotic behavior of the semigroup associated with the linearized compressible Navier-Stokes equation in an infinite layer. Zbl 1181.35172
Kagei, Yoshiyuki
2007
Resolvent estimates for the linearized compressible Navier-Stokes equation in an infinite layer. Zbl 1180.35413
Kagei, Yoshiyuki
2007
Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space. Zbl 1117.35062
Kagei, Yoshiyuki; Kawashima, Shuichi
2006
Local solvability of an initial boundary value problem for a quasilinear hyperbolic-parabolic system. Zbl 1102.35005
Kagei, Yoshiyuki; Kawashima, Shuichi
2006
A limit problem in natural convection. Zbl 1147.35326
Kagei, Yoshiyuki; Růžička, Michael; Thäter, Gudrun
2006
Asymptotic behavior of solutions of the compressible Navier-Stokes equations on the half-space. Zbl 1098.76062
Kagei, Yoshiyuki; Kobayashi, Takayuki
2005
On large-time behavior of solutions to the compressible Navier-Stokes equations in the half space in $$\mathbb R^3$$. Zbl 1016.35055
Kagei, Yoshiuki; Kobayashi, Takayuki
2002
Invariant manifolds and long-time asymptotics for the Vlasov–Poisson–Fokker–Planck equation. Zbl 0999.35011
Kagei, Yoshiyuki
2001
Natural convection with dissipative heating. Zbl 0986.76083
Kagei, Y.; Růžička, M.; Thäter, G.
2000
On thermal convection equations of Oberbeck-Boussinesq type with the dissipation function. Zbl 0968.76593
Kagei, Yoshiyuki
2000
Asymptotic stability of steady flows in infinite layers of viscous incompressible fluids in critical cases of stability. Zbl 0939.76030
Kagei, Yoshiyuki; von Wahl, Wolf
1999
On two-dimensional equations of thermal convection in the presence of the dissipation function. Zbl 0930.35135
Kagei, Yoshiyuki
1998
The Eckhaus criterion for convection roll solutions of the Oberbeck-Boussinesq equations. Zbl 0891.76035
Kagei, Yoshiyuki; von Wahl, Wolf
1997
Asymptotic stability of higher order norms in terms of asymptotic energy stability for viscous incompressible fluid flows heated from below. Zbl 0856.76024
Kagei, Yoshiyuki; von Wahl, Wolf
1996
Attractors for two-dimensional equations of thermal convection in the presence of the dissipation function. Zbl 0843.35074
Kagei, Yoshiyuki
1995
Stability of higher norms in terms of energy-stability for the Boussinesq equations: Remarks on the asymptotic behaviour of convection-roll-type solutions. Zbl 0818.76023
Kagei, Yoshiyuki; von Wahl, Wolf
1994
On weak solutions of nonstationary Boussinesq equations. Zbl 0785.35078
Kagei, Yoshiyuki
1993
Nonstationary flows of nonsymmetric fluids with thermal convection. Zbl 0791.76004
Kagei, Yoshiyuki; Skowron, Maria
1993
Remarks on stability of purely conductive steady states to the exterior Boussinesq problem. Zbl 0777.35055
Chen, Zhimin; Kagei, Yoshiyuki; Miyakawa, Tetsuro
1992
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#### Cited by 246 Authors

 26 Kagei, Yoshiyuki 10 Tan, Zhong 8 Zhao, Huijiang 7 Pu, Xueke 6 Guo, Boling 6 Kawashima, Shuichi 6 Nakamura, Tohru 6 Xu, Jiang 5 Li, Hailiang 5 Wang, Wenjun 5 Xi, Xiaoyu 5 Yao, Zhengan 5 Zhu, Changjiang 4 Liu, Hongxia 4 Nishibata, Shinya 4 Tsuda, Kazuyuki 4 Wang, Yanjin 4 Zhang, Guojing 3 Beneš, Michal 3 Cai, Hong 3 Du, Linglong 3 Duan, Renjun 3 Enomoto, Shota 3 Fan, Lili 3 Geredeli, Pelin G. 3 Komo, Christian 3 Maekawa, Yasunori 3 Nishida, Takaaki 3 Passerini, Arianna 3 Teramoto, Yuka 3 von Wahl, Wolf 3 Wang, Huaqiao 3 Wu, Guochun 3 Xu, Xiuli 3 Yang, Tong 3 Yao, Lei 3 Yin, Hui 3 Zadrzyńska, Ewa 3 Zajączkowski, Wojciech M. 3 Zumbrun, Kevin R. 2 Avalos, George 2 Bie, Qunyi 2 Březina, Jan 2 Choi, Young-Pil 2 Danchin, Raphaël 2 De Martino, Antonino 2 Deng, Chao 2 Du, Yi 2 Gao, Jincheng 2 He, Lin 2 Hishida, Toshiaki 2 Hong, Hakho 2 Hsia, Chun-Hsiung 2 Jiang, Song 2 Jin, Chunhua 2 Jung, Changyeol 2 Kwon, Bongsuk 2 Li, Tong 2 Liao, Yongkai 2 Liu, Hairong 2 Naumann, Joachim 2 Qian, Jianzhen 2 Rojas-Medar, Marko Antonio 2 Roubíček, Tomáš 2 Růžička, Michael 2 Tao, Qiang 2 Tong, Leilei 2 Ueda, Yoshihiro 2 Ukai, Seiji 2 Wang, Qiru 2 Wang, Weiwei 2 Wang, Yuzhu 2 Xie, Feng 2 Ye, Xia 2 Yin, Huicheng 2 Zhang, Lin 2 Zhang, Ting 2 Zhang, Xingwei 2 Zhang, Yinghui 2 Zhong, Hua 1 Aihaiti, Abulizi 1 Amorim, Charles 1 Antontsev, Stanislav Nikolaevich 1 Aoyama, Reika 1 Bae, Hyeong-Ohk 1 Baird, Graham 1 Bian, Dongfen 1 Boldrini, José Luiz 1 Braz e Silva, Pablo 1 Bürger, Raimund 1 Cai, Xiaojing 1 Cao, Daomin 1 Chen, Shih-Hsin 1 Chen, Yan 1 Chen, Yazhou 1 Chen, Yuhui 1 Chen, Zhimin 1 Climent-Ezquerra, Blanca 1 Corli, Andrea 1 Cui, Haibo ...and 146 more Authors
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#### Cited in 54 Serials

 33 Journal of Differential Equations 13 Journal of Mathematical Analysis and Applications 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Journal of Mathematical Fluid Mechanics 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Archive for Rational Mechanics and Analysis 9 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Mathematical Methods in the Applied Sciences 6 Acta Mathematicae Applicatae Sinica. English Series 6 Discrete and Continuous Dynamical Systems 5 Communications in Mathematical Physics 5 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Mathematical Physics 4 Acta Applicandae Mathematicae 4 SIAM Journal on Mathematical Analysis 4 Nonlinear Analysis. Real World Applications 4 Journal of Hyperbolic Differential Equations 3 Journal of Functional Analysis 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Acta Mathematica Sinica. English Series 3 Analysis and Applications (Singapore) 2 Numerische Mathematik 2 Osaka Journal of Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Transactions of the American Mathematical Society 2 Japan Journal of Industrial and Applied Mathematics 2 Continuum Mechanics and Thermodynamics 2 Journal of Evolution Equations 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Communications on Pure and Applied Analysis 2 Mediterranean Journal of Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Quarterly of Applied Mathematics 1 Tokyo Journal of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Physica D 1 Communications in Partial Differential Equations 1 Journal of Nonlinear Science 1 St. Petersburg Mathematical Journal 1 Mathematical Physics, Analysis and Geometry 1 Revista Matemática Complutense 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Fixed Point Theory and Applications 1 Networks and Heterogeneous Media 1 Electronic Research Archive
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#### Cited in 20 Fields

 187 Partial differential equations (35-XX) 158 Fluid mechanics (76-XX) 14 Classical thermodynamics, heat transfer (80-XX) 7 Numerical analysis (65-XX) 7 Mechanics of deformable solids (74-XX) 5 Operator theory (47-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Biology and other natural sciences (92-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)