Results 31 to 40 of about 23,214 (312)
The paper deals with an application of the direct scheme method, consisting of immediately substituting a postulated asymptotic solution into a problem condition and determining a series of control problems for finding asymptotics terms, for asymptotics ...
Galina Kurina, Margarita Kalashnikova
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In this study, a third-order linear integro-differential equation with a small parameter at two higher derivatives was considered. An asymptotic expansion of the solution to the boundary value problem for the considered equation is constructed by ...
Assiya Zhumanazarova, Young Im Cho
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Exponential asymptotics and gravity waves
The problem of irrotational inviscid incompressible free-surface flow is examined in the limit of small Froude number. Since this is a singular perturbation, singularities in the flow field (or its analytic continuation) such as stagnation points, or ...
Vanden-Broeck, J-.M. +8 more
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Asymptotics of superstatistics [PDF]
Published version, few typos corrected, 7 pages, 1 figure ...
Touchette, Hugo, Beck, Christian
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Second order phase field asymptotics for multi-component systems [PDF]
An asymptotic analysis of a phase field model for solidification in multicomponent alloy systems is presented. In the limit of vanishing interface thickness the related sharp interface model is approximated to second order by taking a non-constant ...
Stinner, Björn, Garcke, Harald
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Under some conditions, an asymptotic solution containing boundary functions was constructed in a paper by Vasil’eva and Butuzov (Differ. Uravn. 1970, 6(4), 650−664 (in Russian); English transl.: Differential Equations 1971, 6, 499−510 ...
Galina Kurina
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Weyl asymptotics for perturbations of Morse potential and connections to the Riemann zeta function
Let N(T;V)N\left(T;\hspace{0.33em}V) denote the number of eigenvalues of the Schrödinger operator −y″+Vy-{y}^{^{\prime\prime} }+Vy with absolute value less than TT. This article studies the Weyl asymptotics of perturbations of the Schrödinger operator −y″
Rahm Rob
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This paper deals with aggregation operators. A new class of aggregation operators, called asymptotically idempotent, is introduced. A generalization of the basic notion of aggregation operator is provided, with an in-depth discussion of the notion of idempotency.
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The Cauchy problem for singularly perturbed higher-order integro-differential equations
The article is devoted to research the Cauchy problem for singularly perturbed higher-order linear integro-differential equation with a small parameter at the highest derivatives, provided that the roots of additional characteristic equation have ...
A. E. Mirzakulova +3 more
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Spectral asymptotics for stable trees [PDF]
We calculate the mean and almost-sure leading order behaviour of the high frequency asymptotics of the eigenvalue counting function associated with the natural Dirichlet form on alpha-stable trees, which lead in turn to short-time heat kernel asymptotics
Croydon, David A., Hambly, Ben M.
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