Algebraic Approaches to Partial Differential Equations [PDF]
arXiv, 2012 Partial differential equations are fundamental tools in mathematics,sciences and engineering. This book is mainly an exposition of the various algebraic techniques of solving partial differential equations for exact solutions developed by the author in recent years, with emphasis on physical equations such as: the Calogero-Sutherland model of quantum ...
arxiv
On the existence and uniqueness of solution of the Cauchy problem for linear integro-differential equations with operator coefficients [PDF]
, 1971 Ivan Hlaváček
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Classical microscopic derivation of the relativistic hydrodynamics equations [PDF]
arXiv, 2012 We present microscopic derivation of the relativistic hydrodynamics (RHD) equations directly from mechanics omitting derivation of kinetic equation. We derive continuity equation and energy-momentum conservation law. We also derive equation of evolution of particles current.
arxiv
Integro-differential equations of Volterra type [PDF]
, 1970 M. Rama Mohana Rao, Chris P. Tsokos
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Note on a Volterra integro-differential equation system [PDF]
, 1974 Dennis G. Weis
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Approximative solution of a system of integro-differential equations by S. A. Tschaplygin's method [PDF]
, 1970 Svatoslav Staněk
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On the existence and uniqueness of solution of the Cauchy problem for a class of linear integro-differential equations [PDF]
, 1971 Ivan Hlaváček
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Formal derivations from Boltzmann equation to three stationary equations [PDF]
arXivIn this paper, we concentrate on the connection between Boltzmann equation and stationary equations. To our knowledge, the stationary Navier-Stokes-Fourier system, the stationary Euler equations and the stationary Stokes equations are formally derived by moment estimate in the first time and extend the results of Bardos, Golse, and Levermore in J ...
arxiv
Existence and uniqueness of solution of some integro-differential equation [PDF]
, 1986 Antoni Leon Dawidowicz +1 more
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Integro-differential equations [PDF]
Bulletin of the American Mathematical Society, 1925 openaire +2 more sources