Mixed initial-boundary value problem for the three-dimensional Navier-Stokes equations in polyhedral domains
Michal Beneš
We study a mixed initial{boundary value problem for the Navier{ Stokes equations, where the Dirichlet, Neumann and slip boundary conditions are prescribed on the faces of a three-dimensional polyhedral domain. We prove the existence, uniqueness and smoothness of the solution on a time interval (0, $T$*), where 0 $< T$* $<= T$.
keywords: Navier-Stokes equations mixed boundary conditions regularity of generalized solutions
Numerical simulation of flow in fluidized beds
Petr Bauer Michal Beneš Radek Fučík Hung Hoang Dieu Vladimír Klement Radek Máca Jan Mach Tomáš Oberhuber Pavel Strachota Vítězslav Žabka Vladimír Havlena
The article provides a brief overview of a one-dimensional model of two-phase flow in the geometry of a circulating fluidized bed combustor exhibiting vertical variability of cross-section. The model is based on numerical solution of conservation laws for mass, momentum and energy of gas and solid components of the fluidized-bed system by means of the finite-volume method in space and of a multistep higher-order solver in time. The presented computational results reproduce characteristic behavior of fluidized beds in the given geometry.
keywords: multi-phase flow turbulence reactive flows. Navier-Stokes equations combustion
Preface: Special Issue on recent topics in industrial and applied mathematics
Michal Beneš Tetsuya Ishiwata Takashi Sakamoto Shigetoshi Yazaki
This issue consists of 16 carefully refereed papers dealing with mathematical modeling, numerical analysis, numerical simulation and mathematical analysis for ordinary/partial differential equations in several fields: fluid dynamics, chemistry, crystal physics, material science, medical science and biology. The authors in the present issue are mainly from Czech Republic, Slovakia and Japan. Scientific and mathematical exchanges began in 2004 among the authors and their friends. Since then, fruitful relationships and effective exchanges have been promoted and developed. Professor Tatsuyuki Nakaki strongly supported these exchanges and established the Czech-Slovak-Japanese joint seminars on industrial and applied mathematics. Unfortunately, he passed away in 2011. In 2013 in Tokyo, we had an opportunity to have a meeting in honor of Professor Nakaki. Recent topics in industrial and applied mathematics were widely discussed and we could exchange new ideas and various kinds of new problems. The present issue includes a part of those results.
    Finally we would like to thank the referees for their valuable comments in reviewing the papers.

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