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Current advances in nonlinear analysis and related topics. Collected papers of the conference on nonlinear evolution equations and related topics, Tokyo, Japan, October 10–12, 2009, the 4th Polish-Japanese days on current advances in applied nonlinear analysis and mathematical modelling issues, Warsaw, Poland, May 18–21, 2009 and the RIMS conference on nonlinear evolution equations and mathematical modeling, Kyoto, Japan, October 20–24, 2009. (English) Zbl 1192.35004

GAKUTO International Series. Mathematical Sciences and Applications 32. Tokyo: Gakkōtosho (ISBN 978-4-7625-0457-0/hbk). v, 533 p. (2010).

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The articles of this volume will be reviewed individually.
Indexed articles:
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B., Structural properties of the set of global solutions of the nonlinear heat equation, 13-23 [Zbl 1222.35108]
Damlamian, Alain, From linear to nonlinear by the homogenization of cracks, 25-40 [Zbl 1211.35029]
Efendiev, Messoud; Sonner, Stefanie, On verifying mathematical models with diffusion, transport and interaction, 41-67 [Zbl 1219.35016]
Fan, Jishan; Ozawa, Tohru, On regularity criterion for the 2D wave maps and the 4D biharmonic wave maps, 69-83 [Zbl 1213.35162]
Furuya, Kiyoko, On the \(L^2\)-illposed mixed problem for the wave equations with oblique boundary conditions, 85-93 [Zbl 1208.35165]
Hashimoto, Takahiro, Nonexistence of weak solutions of nonlinear elliptic equations associated with Caffarelli-Kohn-Nirenberg type inequalities, 95-109 [Zbl 1208.35060]
Hayashi, Nakao; Tomoeda, Kyoko; Yanagisawa, Taku, Analyticity for higher order nonlinear dispersive equations, 111-130 [Zbl 1214.35063]
Imai, Hitoshi; Sakaguchi, Hideo, Numerical continuation for the Laplace equation with higher order regularization, 131-144 [Zbl 1208.65140]
Pawłow, Irena; Zajączkowski, Wojciech M., Kelvin-Voigt type thermoviscoelastic system. Existence of regular solutions, 145-162 [Zbl 1211.35002]
Suzuki, Kanako; Takagi, Izumi, Collapse of patterns and effect of basic production terms in some reaction-diffusion systems, 163-187 [Zbl 1213.35089]
Suzuki, Takashi, Thermomechanical system of equations on shape memory materials, 189-213 [Zbl 1432.74058]
Takagi, Satoru, Some properties of weak solutions for parabolic-hyperbolic equations, 215-230 [Zbl 1211.35160]
Aiki, Toyohiko; Muntean, Adrian, Mathematical treatment of concrete carbonation process – a moving one-phase approach, 231-238 [Zbl 1208.35179]
Akagi, Goro, On some doubly nonlinear parabolic equations, 239-254 [Zbl 1228.35124]
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D., A macroscopic model for pedestrian flows in panic situations, 255-272 [Zbl 1226.35050]
Fukao, Takeshi; Kubo, Masahiro, Global attractor of double obstacle problem in thermohydraulics, 273-287 [Zbl 1228.35060]
Gokieli, Maria; Marcinkowski, Leszek, A solver for the finite element approximation scheme for the Cahn-Hilliard/Allen-Cahn system with logarithmic entropy, 289-306 [Zbl 1210.65167]
Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka; Wróblewska, Aneta, Turbulent flows of rapidly thickening fluids, 307-325 [Zbl 1427.76108]
Harada, Junichi; Ôtani, Mitsuharu, On asymptotic states for some parabolic equations with nonlinear boundary conditions, 327-340 [Zbl 1211.35157]
Kadoya, Atsushi; Ito, Akio; Shirakawa, Ken, Optimal control problems for regional economic trends, 341-364 [Zbl 1208.91088]
Kano, Risei; Ito, Akio; Yamamoto, Kazuhiko; Nakayama, Hiroko, Quasi-variational inequality approach to tumor invasion models with constraints, 365-388 [Zbl 1213.35278]
Kenmochi, Nobuyuki; Yamazaki, Noriaki, Large-time behavior of solutions to a phase-field model of grain boundary motion with constraint, 389-403 [Zbl 1211.35048]
Kumazaki, Kota, Evolution equations for the Penrose-Fife phase transition model with time-dependent constraints, 405-418 [Zbl 1221.35215]
Kwiatkowski, Kamil; Bajer, Konrad, Mixing in the vicinity of the vortex, 419-427 [Zbl 1427.76207]
Matsumoto, Toshitaka; Tanaka, Naoki, Well-posedness for the complex Ginzburg-Landau equations, 429-442 [Zbl 1208.35143]
Meier, Sebastian A.; Muntean, Adrian, A two-scale reaction-diffusion system: homogenization and fast-reaction limits, 443-461 [Zbl 1223.35044]
Peszyńska, Małgorzata; Trykozko, Anna; Sobieski, Wojciech, Fochheimer law in computational and experimental studies of flow through porous media at porescale and mesoscale, 463-482 [Zbl 1427.76252]
Shirakawa, Ken, Two-dimensional steady-state solutions of anisotropic total variation flows associated with phase transitions, 483-504 [Zbl 1221.35056]
Terasawa, Kento; Ôtani, Mitsuharu, Global solvability of double-diffusive convection systems based upon Brinkman-Forchheimer equations, 505-515 [Zbl 1208.35118]
Urano, Michio, Transition layers for a bistable reaction-diffusion equation in heterogeneous media, 517-531 [Zbl 1211.35027]

MSC:

35-06 Proceedings, conferences, collections, etc. pertaining to partial differential equations
65-06 Proceedings, conferences, collections, etc. pertaining to numerical analysis
35Q55 NLS equations (nonlinear Schrödinger equations)
65Z05 Applications to the sciences
00B25 Proceedings of conferences of miscellaneous specific interest
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