Journal of Mathematical Physics (J MATH PHYS )

Publisher: American Institute of Physics, American Institute of Physics


Journal of Mathematical Physics is published monthly by the American Institute of Physics. Its purpose is the publication of papers in mathematical physics ñ that is, the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories. The mathematics should be written in a manner that is understandable to theoretical physicists. Occasionally, reviews of mathematical subjects relevant to physics and special issues combining papers on a topic of current interest may be published.

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  • Website
    Journal of Mathematical Physics website
  • Other titles
    Journal of mathematical physics
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  • Material type
    Periodical, Internet resource
  • Document type
    Journal / Magazine / Newspaper, Internet Resource

Publisher details

American Institute of Physics

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    • Publishers version/PDF may be used on author's personal website or institutional website
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    • Publisher copyright and source must be acknowledged
    • NIH-funded articles are automatically deposited with PubMed Central with open access after 12 months
    • For Medical Physics see AAPM policy
    • This policy does not apply to Physics Today
    • Publisher last contacted on 27/09/2013
  • Classification
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Publications in this journal

  • Journal of Mathematical Physics 09/2014; 55(9):093509.
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    ABSTRACT: In this paper, we consider a Timoshenko system in one-dimensional bounded domain with infinite memory and distributed time delay both acting on the equation of the rotation angle. Without any restriction on the speeds of wave propagation and under appropriate assumptions on the infinite memory and distributed time delay convolution kernels, we prove, first, the well-posedness and, second, the stability of the system, where we present some decay estimates depending on the equal-speed propagation case and the opposite one. The obtained decay rates depend on the growths of the memory and delay kernels at infinity. In the nonequal-speed case, the decay rate depends also on the regularity of initial data. Our stability results show that the only dissipation resulting from the infinite memory guarantees the asymptotic stability of the system regardless to the speeds of wave propagation and in spite of the presence of a distributed time delay. Applications of our approach to specific coupled Timoshenko-heat and Timoshenko-wave systems as well as the discrete time delay case are also presented. ©2014 American Institute of Physics
    Journal of Mathematical Physics 08/2014; 55(8).
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    ABSTRACT: Let (H, S, α) be a monoidal Hom-Hopf algebra and [Formula: see text] the Hom-Yetter-Drinfeld category over (H, α). Then in this paper, we first find sufficient and necessary conditions for [Formula: see text] to be symmetric and pseudosymmetric, respectively. Second, we study the u-condition in [Formula: see text] and show that the Hom-Yetter-Drinfeld module (H, adjoint, Δ, α) (resp., (H, m, coadjoint, α)) satisfies the u-condition if and only if S (2) = id. Finally, we prove that [Formula: see text] over a triangular (resp., cotriangular) Hom-Hopf algebra contains a rich symmetric subcategory.
    Journal of Mathematical Physics 08/2014; 55(8):081708.