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84 papers · 1 filter
Stationary waves to viscous heat-conductive gases in half space: existence, stability and convergence rate
Shuichi Kawashima, Tohru Nakamura, Shinya Nishibata +1
The present paper is concerned with large-time behavior of solutions to an outflow problem for an ideal polytropic model of compressible viscous gases in one-dimensional half space…
Traveling waves for models of phase transitions of solids driven by configurational forces
Shuichi Kawashima, Peicheng Zhu
This article is concerned with the existence of traveling wave solutions, including standing waves, to some models based on configurational forces, describing respectively the diff…
Scale-free dynamics of somatic adaptability in immune system
Shiro Saito, Osamu Narikiyo
The long-time dynamics of somatic adaptability in immune system is simulated by a simple physical model. The immune system described by the model exhibits a scale free behavior as…
Relativistic particle acceleration in developing Alfvén turbulence
S. Matsukiyo, T. Hada
A new particle acceleration process in a developing Alfvén turbulence in the course of successive parametric instabilities of a relativistic pair plasma is investigated by utilyzin…
Discrete flat surfaces and linear Weingarten surfaces in hyperbolic 3-space
Tim Hoffmann, Wayne Rossman, Takeshi Sasaki +1
We define discrete flat surfaces in hyperbolic 3-space from the perspective of discrete integrable systems and prove properties that justify the definition. We show how these surfa…
On some combinations of multiple zeta-star values
Kohtaro Imatomi, Tatsushi Tanaka, Koji Tasaka +1
We prove that the sum of multiple zeta-star values over all indices inserted two 2's into the string is evaluated to a rational multiple of powe…