CONTENTS
Plenary Lectures
Eduard Feireisl — Asymptotic analysis of compressible, viscousand heat conducting ﬂuids

1

Robert L. Pego — Nonlinear dynamics of three solvable aggregation models
35
Invited Talks
Chao-Nien Chen and Hung-Jen Tsai — Some recent progress on
standing waves of FitzHugh–Nagumo system
63
Hiroyasu Fujiwara and Tatsuo Iguchi — A shallow water approximation for water waves over a moving bottom
77
Nakao Hayashi and Pavel I. Naumkin — Quadratic nonlinear
Klein–Gordon equation in 2d, Cauchy problem
89
Song Jiang — Existence of weak solutions to the three-dimensional
steady compressible Navier–Stokes equations for any speciﬁcheat ratio γ > 1
101
Shigeaki Koike — On the ABP maximum principle for Lp -viscosity
solutions of fully nonlinear PDE
113
Kenji Nishihara — Diﬀusion phenomenon of solutions to the Cauchy
problem for the damped wave equation
125
TakaoOhta — Self-propelled dynamics of deformable domain in
excitable reaction diﬀusion systems
137
Jun-ichi Segata — Long time behavior of solutions to non-linear
Schrödinger equations with higher order dispersion
151
Organized SessionsYasuhito Miyamoto — Stable patterns and Morse index one solutions
165
Futoshi Takahashi — Blow up points and the Morse indices ofsolutions to the Liouville equation: inhomogeneous case
175
Goro Akagi and Ryuji Kajikiya — Stability analysis of asymptotic proﬁles for fast diﬀusion equations
183

Shinya Okabe — The gradient ﬂow for the modiﬁed one-dimensional
Willmore functional deﬁned onplanar curves with inﬁnite length
193
Atsushi Anma and Kunimochi Sakamoto — Destabilization ofuniform steady states in linear diﬀusion systems with nonlinear
boundary conditions
201
Peter van Heijster, Tasso J. Kaper and Cynthia A. Bradham— A note on a reaction-diﬀusion model describing the bonemorphogen protein gradient in Drosophila embryonic patterning
209
Mitsuru Shibayama — Minimax approach to the n-body problem 221
Kazuyuki Yagasaki — Analytic and algebraic conditions for bifurcations of homoclinic orbits in reversible systems
229
Yoshikazu Giga, Qing Liu and Hiroyoshi Mitake — Large-time
asymptotics for Hamilton–Jacobi equations with noncoercive
Hamiltonians appearing in crystal growth235
Hideki Murakawa — Numerical solution of nonlinear cross-diﬀusion
systems by a linear scheme
243
Shigetoshi Yazaki — A numerical scheme for the Hele-Shaw ﬂow
with a time-dependent gap by a curvature adjusted method
253
Jeongwhan Choi, Dal-Soo Lee, Sangho Oh, Shu-Ming Sun andSung-Im Whang — Mathematical, numerical and experimental study of solitary waves
263
Masaya Maeda and Satoshi Masaki — A survey on nonlinear
Schrödinger equation with growing nonlocal nonlinearity273
Hideo Kubo — On the exterior problem for nonlinear wave equations with small initial data
281
Makoto Nakamura — On the solutions for nonlinear wave equations with localized dissipations in exterior domains
289
Yoshihiro Ueda, Renjun Duan and Shuichi Kawashima — Largetime behavior of solutions to symmetric hyperbolic systems
with non-symmetric relaxation
295
Jens Wirth — Diﬀusion phenomena for partially dissipative hyperbolic systems
303

Tomoyuki Kakehi — Schrödinger equations on compact symmetricspaces and Gauss sums
311
Mitsuru Sugimoto — A vector ﬁelds approach to smoothing anddecaying estimates for equations in anisotropic media
319
Renjun Duan, Shuichi Kawashima and Yoshihiro Ueda — Dissipative structure of the coupled kinetic-ﬂuid models
327
Yasunori Maekawa — Remark on C0 -semigroups with scaling invariance337
Shu Wang, Yuehong Feng and Xin Li — Existence of global
smooth solutions to the Cauchy problem of bipolar Navier–Stokes–Maxwell system
347
Contributed Talks
Thomas Bellsky — Allen–Cahn equation as a long-time modulation to a reaction-diﬀusion system
359
Jan Březina — On decay properties of the linearized compressible Navier–Stokes equations around time-periodic ﬂows in aninﬁnite layer
369Priyanjana M. N. Dharmawardane, Tohru Nakamura and Shuichi
Kawashima — Decay estimates of solutions for nonlinear viscoelastic systems
377
Daniele Garrisi — Orbitally stable standing-wave solutions to acoupled non-linear Klein–Gordon equation
387
Song Jiang, Qiangchang Ju and Fucai Li — Low Mach number
limit for the compressible non-isentropic magnetohydrodynamicequations
399
Yukio Kan-on — On the bifurcation structure of radially symmetric positive stationary solutions for a competition-diﬀusion
system409
Keiichi Kato, Masaharu Kobayashi and Shingo Ito — Wave front
set deﬁned by wave packet transform and its application
417
Takayuki Kobayashi and Takayuki Kubo — Weighted estimate ofStokes semigroup in unbounded domains
427
Chunhua Li — Further decay results on the system of NLS equations in lower order Sobolev spaces
437

Masaya Maeda — Stability of ground states of NLS with fourthorder dispersion
445
Haruya Mizutani — Strichartz estimates for Schrödinger equations
with variable coeﬃcients and unbounded potentials
453
Yūki Naito — A remark on self-similar solutions for a semilinear
heat equation with critical Sobolev exponent
461
Makoto Narita — On spherically symmetric gravitational collapse
in the Einstein–Gauss–Bonnet theory469
Kei Nishi, Yasumasa Nishiura and Takashi Teramoto — Behaviors of a front-back pulse arising in a bistable medium withjump-type heterogeneity
479
Shinya Nishibata, Masashi Ohnawa and Masahiro Suzuki —The mathematical justiﬁcation of the Bohm criterion in plasma
physics
489
Mamoru Okamoto — Well-posedness of the Cauchy problem for
the Maxwell–Dirac system in one space dimension
497
Hiroshi Takeda and Shuji Yoshikawa — On the decay property ofsolutions to the Cauchy problem of the semilinear beam equation with weak damping for large initial data
507
Morimichi Umehara — Global existence of the spherically symmetric ﬂow of a self-gravitating viscous gas
515
Chi-Ru Yang and Ting-Hui Yang — Existence of traveling wave
solution in a diﬀusive predator-prey model with Holling type-III
functional response523