This issue of the journal is devoted to the publication of selected peer-reviewed articles submitted by the participants of the Czech-Japanese Seminar in Applied Mathematics 2010 which took place on August 30--September 4, 2010 in Prague and Telč, Czech Republic.

2011C-1 Asymptotic behavior of blow-up solutions to a degenerate parabolic equation (pp.1-8)

Author(s)： Koichi Anada and Tetsuya Ishiwata

• File：JMI2011C-1.pdf (159KB)

Keyword(s).　 degenerate parabolic equations, blow-up, asymptotic behavior, type 2, eventual monotonicity

2011C-2 Mixed-hybrid finite element method for modelling two-phase flow in porous media (pp.9-19)

Author(s)： Radek Fučík and Jiří Mikyška

• File：JMI2011C-2.pdf (2234KB)

Keyword(s).　 MHFE-DG method, Two-phase flow, Heterogeneous porous media

2011C-3 Motion of essentially admissible V-shaped polygonal curves governed by generalized crystalline motionwith a driving force (pp.21-25)

Author(s)： Tetsuya Ishiwata

• File：JMI2011C-3.pdf (115KB)

Keyword(s).　 Motion by crystalline curvature, non-closed polygonal curves, essentially admissiblecurves, V-shaped interface.

2011C-4 Numerical study of viscous and viscoelastic fluids flow (pp.27-32)

Author(s)： Radka Keslerová and Karel Kozel

• File：JMI2011C-4.pdf (1209KB)

Keyword(s).　 Navier-Stokes equations, generalized Newtonian fluids, Oldroyd-B fluids

2011C-5 Application of a degenerate diffusion method in medical image processing (pp.33-40)

Author(s)： Radek Máca, Michal Beneš and Jaroslav Tintěra

• File：JMI2011C-5.pdf (1933KB)

Keyword(s).　 Cardiac MRI, co-volume method, image segmentation, level set method, PDE

2011C-6 Application of the nonlinear Galerkin FEM method to the solution of the reaction diffusion equations (pp.41-51)

Author(s)： Jan Mach

• File：JMI2011C-6.pdf (168KB)

Keyword(s).　 Nonlinear Galerkin method, Gray-Scott model, reaction-diffusion equation, method of lines, finite difference method, finite element method, Runge-Kutta-Merson method

2011C-7 Numerical simulation of multicomponent compressible flow in porous medium (pp.53-60)

Author(s)： Ondřej Polívka and Jiří Mikyška

• File：JMI2011C-7.pdf (539KB)

Keyword(s).　 Mixed-hybrid finite element method, finite volume method, Newton-Raphson method, single-phase compressible multicomponent flow, miscible displacement

2011C-8 Numerically repeated support splitting and merging phenomena in a porous media equation with strong absorption (pp.61-68)

Author(s)： Kenji Tomoeda

• File：JMI2011C-8.pdf (477KB)

Keyword(s).　 nonlinear diffusion, support splitting, support merging, finite difference scheme

2011C-9 Universal bound for stationary patterns of an adsorbate-induced phase transition model (pp.69-72)

Author(s)： Kousuke Kuto and Tohru Tsujikawa

• File：JMI2011C-9.pdf (105KB)

Keyword(s).　 reaction-diffusion-advection system, stationary pattern, universal bound

2011C-10 Image segmentation using CUDA implementations of the Runge-Kutta-Merson and GMRES methods (pp.73-79)

Author(s)： Tomáš Oberhuber, Atsushi Suzuki, Jan Vacata and Vítězslav Žabka

• File：JMI2011C-10.pdf (334KB)

Keyword(s).　 CUDA, image segmentation, Allen-Cahn equation, Runge-Kutta-Merson, GMRES