Acta Applicandae Mathematicae

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On Conservation Laws for the Toda Equations
Acta Applicandae Mathematicae - Tập 83 - Trang 175-182 - 2004
Arthemy V. Kiselev
A description of the two-dimensional Toda equations' Noether symmetries, assigned to conservation laws for the latter equations, is given. A continuum of recursion operators, both local and nonlocal, is obtained for the Toda equations' symmetry algebras.
Existence and Asymptotic Behavior of Solutions for the Unstirred Chemostat Model with Ratio-Dependent Function
Acta Applicandae Mathematicae - Tập 166 - Trang 223-232 - 2019
Wenbin Yang
A system of reaction-diffusion equations arising from the unstirred chemostat model with ratio-dependent function is considered. The asymptotic behavior of solutions is given and all positive steady-state solutions to this model lie on a single smooth solution curve. It turns out that the ratio-dependence effect will not affect the dynamics, compared with (Hsu and Waltman in SIAM J. Appl. Math. 53...... hiện toàn bộ
Shock-Induced Phase Transitions in Systems of Hard Spheres with Attractive Interactions
Acta Applicandae Mathematicae - Tập 122 - Trang 473-483 - 2012
Shigeru Taniguchi, Masaru Sugiyama
Shock-induced phase transitions are studied by adopting the recently-developed theoretical framework, which is applicable for shock waves in three phases (gas, liquid, and solid), based on the system of hard spheres with mutual attractive interactions. The Rankine-Hugoniot conditions derived from the system of Euler equations with caloric and thermal equations of state are studied, and the admissi...... hiện toàn bộ
The Minimal Polynomials of Unipotent Elements in Irreducible Representations of the Special Linear Group
Acta Applicandae Mathematicae - Tập 52 - Trang 325-330 - 1998
I. D. Suprunenko
The minimal polynomials of images of unipotent elements in irreducible rational representations of a special linear group over an algebraically closed field of characteristic p > 2 are found. In particular, we show that the degree of such polynomial is equal to the order of an element provided the highest weight of a representation is in some sense large enough with respect to p.
Asymptotic Behavior of Micropolar Fluid Flow Through a Curved Pipe
Acta Applicandae Mathematicae - Tập 116 Số 1 - Trang 1-25 - 2011
Pažanin, Igor
We study the stationary motion of a micropolar fluid in a thin (or long) curved pipe via rigorous asymptotic analysis. An asymptotic solution is found, showing explicitly the effects of pipe’s distortion and microstructure on the effective behavior of the flow. We justify the obtained model by proving the corresponding error estimate.
A method for computing symmetries and conservation laws of integra-differential equations
Acta Applicandae Mathematicae - - 1995
В. Н. Четвериков, A. G. Kudryavtsev
Isotropy Subgroups of Transformation Groups
Acta Applicandae Mathematicae - Tập 100 - Trang 269-289 - 2008
Dmitriy Khots, Tuong Ton-That
In this paper we consider transitive actions of Lie groups on analytic manifolds. We study three cases of analytic manifolds and their corresponding transformation groups. Given a free action on the left, we define left orbit spaces and consider actions on the right by maximal compact subgroups. We show that these actions are transitive and find the corresponding isotropy subgroups. Further, we s...... hiện toàn bộ
Fourier Analysis of Semistable Distributions
Acta Applicandae Mathematicae - Tập 96 - Trang 175-175 - 2007
Sándor Csörgő
On Stratonovich Integral Equations Driven by Continuous p-Semimartingales
Acta Applicandae Mathematicae - Tập 97 - Trang 1-13 - 2007
K. Kubilius
We obtain conditions under which a Stratonovich integral equation driven by a continuous p-semimartingale has a weak solution and a unique strong solution-measure. Generalization of the Wong–Zakai theorem and the convergence rate of the corresponding approximation are given.
Exp-function Method for Generalized Traveling Solutions of Master Partial Differential Equation
Acta Applicandae Mathematicae - Tập 104 - Trang 131-137 - 2008
Muhammad Aslam Noor, Syed Tauseef Mohyud-Din, Asif Waheed
In this paper, we use the Exp-function method to construct the generalized travelling solutions of the master partial differential equation. This equation plays a very important role in mathematical physics and engineering sciences. The suggested algorithm is quite efficient and is practically well suited for use in these problems. The results show the reliability and efficiency of the proposed me...... hiện toàn bộ
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