| 1. |
- Basarab-Horwath, Peter, et al.
(författare)
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Symmetry Classification of Third-Order Nonlinear Evolution Equations. Part I: Semi-simple Algebras
- 2013
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Ingår i: Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications. - : Springer Verlag (Germany). - 0167-8019 .- 1572-9036. ; 124:1, s. 123-170
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Tidskriftsartikel (refereegranskat)abstract
- We give a complete point-symmetry classification of all third-order evolution equations of the form u (t) =F(t,x,u,u (x) ,u (xx) )u (xxx) +G(t,x,u,u (x) ,u (xx) ) which admit semi-simple symmetry algebras and extensions of these semi-simple Lie algebras by solvable Lie algebras. The methods we employ are extensions and refinements of previous techniques which have been used in such classifications.
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| 2. |
- Bobylev, Alexander, 1947-, et al.
(författare)
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DSMC Modeling of a Single Hot Spot Evolution Using the Landau-Fokker-Planck Equation
- 2014
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Ingår i: Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications. - : Springer Science and Business Media LLC. - 0167-8019 .- 1572-9036. ; 132:1, s. 107-116
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Tidskriftsartikel (refereegranskat)abstract
- Numerical solution of a fully nonlinear one dimensional in space and three dimensional in velocity space electron kinetic equation is presented. Direct Simulation Monte Carlo (DSMC) method used for the nonlinear Landau-Fokker-Planck (LFP) collision operator is combined with Particle-in-Cell (PiC) simulations. An assumption of a self-consistent ambipolar electric field is used. The illustrative simulation results for the relaxation of the initial temperature perturbation are compared with the antecedent analytical and numerical results.
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| 3. |
- Douanla Yonta, Hermann, 1982
(författare)
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Homogenization of Steklov spectral problems with indefinite density function in perforated domains
- 2013
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Ingår i: Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications. - : Springer Science and Business Media LLC. - 0167-8019 .- 1572-9036. ; 123:1, s. 261-284
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Tidskriftsartikel (refereegranskat)abstract
- The asymptotic behavior of second order self-adjoint elliptic Steklov eigenvalue problems with periodic rapidly oscillating coefficients and with indefinite (sign-changing) density function is investigated in periodically perforated domains. We prove that the spectrum of this problem is discrete and consists of two sequences, one tending to −∞ and another to +∞. The limiting behavior of positive and negative eigencouples depends crucially on whether the average of the weight over the surface of the reference hole is positive, negative or equal to zero. By means of the two-scale convergence method, we investigate all three cases.
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| 4. |
- Häggström, Olle, 1967
(författare)
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A Pairwise Averaging Procedure with Application to Consensus Formation in the Deffuant Model
- 2012
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Ingår i: Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications. - 0167-8019 .- 1572-9036. ; 119:1, s. 185-201
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Tidskriftsartikel (refereegranskat)abstract
- Place a water glass at each integer point, the one at the origin being full and all others empty, and consider averaging procedures where we repeatedly pick a pair of adjacent glasses and pool their contents, leaving the two glasses with equal amounts but with the total amount unchanged. Some simple results are derived for what kinds of configurations of water levels are obtainable via such procedures. These are applied in the analysis of the so-called Deffuant model for social interaction, where individuals have opinions represented by numbers between 0 and 1, and whenever two individuals interact they take a step towards equalizing their opinion, unless their opinions differ beyond a fixed amount θ in which case they make no adjustment. In particular, we reprove and sharpen the recent result of Lanchier which identifies the critical value θ c for consensus formation in the Deffuant model on ℤ to be 1/2 .
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| 5. |
- Gansten, Martin
(författare)
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Some Early Authorities Cited by Tajika Authors
- 2012
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Ingår i: Indo-Iranian Journal. - 1572-8536. ; 55:4, s. 307-319
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Tidskriftsartikel (refereegranskat)abstract
- In comparison with the spread of Perso-Arabic astrological traditions into medieval Europe, the Indian reception of the same knowledge systems, known in Sanskrit as tajika-'sastra, has received little scholarly attention.. e present article attempts to shed some light on the history of the transmission of tajika-'sastra by examining the statements of Sanskrit authors about their earliest non-Indian sources. In particular, the identities of five traditionally cited authorities-Yavana, Khindhi, Hillaja, Khattakhutta and Romaka-are discussed on the basis of text-internal, historical and linguistic evidence.
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