Results 11 to 20 of about 836 (108)
Simplified Mixing Rules for Calculating Transport Coefficients of High‐Temperature Air
International Journal of Aerospace Engineering, Volume 2023, Issue 1, 2023., 2023 The transport process of high‐temperature air is vital in aerospace fields and has attracted increased attention in recent years. In this paper, an adequate study of factors affecting transport coefficients for high‐temperature air is conducted. The results of a different‐species model at different pressures and temperatures show that the 9‐species air
Zhe Wang +3 more
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Journal of Applied Mathematics, Volume 2016, Issue 1, 2016., 2016 We prove existence and uniqueness of the solution of the problem with initial and Maxwell‐Auzhan boundary conditions for nonstationary nonlinear one‐dimensional Boltzmann’s six‐moment system equations in space of functions continuous in time and summable in square by a spatial variable. In order to obtain a priori estimation of the initial and boundary
A. Sakabekov +2 more
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A characterization of the four Chebyshev orthogonal families
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 13, Page 2071-2079, 2005., 2005 We obtain a property which characterizes the Chebyshev orthogonal polynomials of first, second, third, and fourth kind. Indeed, we prove that the four Chebyshev sequences are the unique classical orthogonal polynomial families such that their linear combinations, with fixed length and constant coefficients, can be orthogonal polynomial sequences.
E. Berriochoa +2 more
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The dual integral equation method in hydromechanical systems
Journal of Applied Mathematics, Volume 2004, Issue 6, Page 447-460, 2004., 2004 Some hydromechanical systems are investigated by applying the dual integral equation method. In developing this method we suggest from elementary appropriate solutions of Laplace′s equation, in the domain under consideration, the introduction of a potential function which provides useful combinations in cylindrical and spherical coordinates systems ...
N. I. Kavallaris, V. Zisis
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Integral equations of the first kind of Sonine type
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 57, Page 3609-3632, 2003., 2003 A Volterra integral equation of the first kind Kφ(x):≡∫−∞xk(x−t)φ(t)dt=f(x) with a locally integrable kernel k(x)∈L1loc(ℝ+1) is called Sonine equation if there exists another locally integrable kernel ℓ(x) such that ∫0xk(x−t)ℓ(t)dt≡1 (locally integrable divisors of the unit, with respect to the operation of convolution). The formal inversion φ(x)=(d/dx)
Stefan G. Samko, Rogério P. Cardoso
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On relaxation phenomena in a two-component plasma [PDF]
, 2015 The relaxation of temperatures and velocities of the components of a quasi-equilibrium two-component homogeneous completely ionized plasma is investigated on the basis of a generalization of the Chapman-Enskog method applied to the Landau kinetic ...
Chelbaevsky, Z. Yu. +2 more
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Asymptotic behavior of solutions of the damped Boussinesq equation in two space dimensions
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 131-145, 1999., 1999 The Cauchy problem for the damped Boussinesq equation with small initial data is considered in two space dimensions. Existence and uniqueness of its classical solution is proved and the solution is constructed in the form of a series. The major term of its long‐time asymptotics is calculated explicitly and a uniform in space estimate of the residual ...
Vladimir V. Varlamov
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A note on Bessel function dual integral equation with weight function
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 543-549, 1988., 1987 An elementary procedure based on Sonine′s integrals has been used to reduce dual integral equations with Bessel functions of different orders as kernels and an arbitrary weight function to a Fredholm integral equation of the second kind. The result obtained here encompasses many results concerning dual integral equations with Bessel functions as ...
B. N. Mandal
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Weighted Sonine Conditions and Application
Advances in Applied Mathematics and MechanicsThe Sonine kernel described by the classical Sonine condition of convolution form is an important class of kernels used in integral equations and nonlocal differential equations. This work extends this idea to introduce weighted Sonine conditions where the non-convolutional weight functions accommodate the inhomogeneity in practical applications.
Zheng, Xiangcheng +2 more
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Modified Sonine approximation for the Navier-Stokes transport coefficients of a granular gas
, 2006 Motivated by the disagreement found at high dissipation between simulation data for the heat flux transport coefficients and the expressions derived from the Boltzmann equation by the standard first Sonine approximation [Brey et al., Phys. Rev.
Alexander +32 more
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