Using JMP format - arXiv.org
Typical examples include time-dependent diffusion equations containing a pa- ... obtained by solving the remaining, linear partial differential equation using stan- ...... 1 J. Satsuma and M. Mimura, ''Stability properties of spatially periodic ...
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Linearization of novel nonlinear diffusion equations with the Hilbert
Feb 5, 2014 ... linear diffusion equation while when Y = 0, it coincides with a linearized equation for ...... Satsuma and M. Mimura, J. Phys. Sot. Jpn. 54, 894 ...
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arXiv:q-bio/0504001v1 [q-bio.PE] 1 Apr 2005 - arXiv.org
Apr 1, 2005 ... diffusion equation for a continuum population density field ... 1984; Alt, 1985; Ikeda, 1985; Satsuma and Mimura, 1985; Ikeda and Nagai,. 1987 ..... linear swarm states, and to obtain a quantitative prediction of the equilibrium.
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stochastic differential equations describing the evolution of N individuals ( Lagrangian .... Interaction may also lead to density dependence in the diffusion terms. ...... mathematical difficulty in this framework comes from the non linear term ..... Satsuma J., “ Animal aggregation and solitons: exact solutions for nonlinear diffusion ...
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Applications of the Collective Field Theory for the Calogero
the two leading terms in the low temperature specific heat, large ampli- tude waves, and single ..... energy obtained by solving the Schrödinger equation with a potential V (x). Then the solution of ..... to linear order, we find that ρ and θ have the following second quantized expressions, .... tained by Satsuma and Mimura [ 33].
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Download PDF - Springer
Sep 19, 2014 ... Kimura et al. 2009), and .... data form a linear trend toward a magmatic water compos- ition distinct ..... (Equation 7), where Δδf is the change in isotopic ratio of the fluid .... high Cl content and high 3He/4He ratios, where heat and material ..... compositions of volcanic gases from Satsuma-Iwojima, Japan.
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曲面・曲線についての複眼的研究 - 龍谷大学 科学技術共同研究センター
( 2 ) T. Ito, B. Scardua and Y. Yamagishi: Transversality of complex linear distributions with spheres, ... reaction-diffusion equations", 8-th AIMS conference on Dynamical systems, Differential equations and .... 10：20−11：00 Masayasu Mimura (Meiji University) ... 16：20−17：00 Junkichi Satsuma (Aoyama Gakuin University).
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