, 2013 On the basis of the relativistic kinetic theory the relativistic statistical systems with scalar interaction particles are investigated. The self-consistent system of the equations describing self-gravitating plasma with interpartial scalar interaction is formulated, macroscopical laws of preservation are received.
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Mathematical theory on difference approximation for scalar conservation law
Mathematical theory on difference approximation for scalar conservation law航空宇宙技術研究所 6-7 JUN. 1996 東京 日本 National Aerospace Laboratory 6-7 JUN. 1996 Tokyo Japan スカラー保存則に対する差分近似の数学的理論を数値粘性の観点から概観し、新規の結果を述べた。理論における最重要事項は、エントロピー解(物理的に適切な解)への収束を証明することにある。その目的に対し、エントロピー条件との整合性を論じることが多い。他方で、実際的観点からは高精度を強く要求される。エントロピー解へ収束し、かつ高精度な差分近似の一般的なクラスを確定することは依然として未解決の問題である。研究の目標を数値粘性の観点から明解な理論の概観を示すことにおいた。数値粘性係数により差分近似を分類することにより ...
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Positive curvature conditions on contractible manifolds. [PDF]
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Classification of LRS Bianchi-I spacetime in context of f(T) gravity via its self-similar symmetry. [PDF]
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Mathematical basis, phase transitions and singularities of (3+1)-dimensional phi4 scalar field model
The lambda phi4 scalar field model can be applied to interpret pion-pion scattering and properties of hadrons. In this work, the mathematical basis, phase transitions and singularities of a (3+1)-dimensional (i.e., (3+1)D) phi4 scalar field model are investigated.
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From Thinking to Creativity: The Interplay of Mathematical Thinking Perceptions, Mathematical Communication Dispositions, and Creative Thinking Dispositions. [PDF]
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Rigorous construction and classification of solitary-waves and exact soliton configurations in the nonlinear coupled Maccari system. [PDF]
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