We present the exact and complete analytical solution of the classical problem of the Josephson tunnel junction of arbitrary length W ∈ (0, ∞) in the presence of externally applied magnetic fields and transport currents. ...
We analyze the resistance between two nodes in a cobweb network of resistors. Based on an exact expression, we derive the asymptotic expansions for the resistance between the center node and a node on the boundary of the ...
Rui Li; Yang Zhong; Bin Tian; Jian Du(Прикладная механика, 2011)
Exact bending solutions of orthotropic rectangular cantilever thin plates subjected to arbitrary loads are derived by using a novel double finite integral transform method. Since only the basic elasticity equations for ...
Borsuk, M.; Zawadzka, A.(Нелинейные граничные задачи, 2004)
We investigate the behavior of strong solutions to the Robin boundary value problem for linear elliptic non divergence second order equations in a neighborhood of the boundary conical point. We establish precise exponent ...
Sasakura, N.; Sato, Y.(Symmetry, Integrability and Geometry: Methods and Applications, 2014)
Statistical systems on random networks can be formulated in terms of partition functions expressed with integrals by regarding Feynman diagrams as random networks. We consider the cases of random networks with bounded but ...
D'Hoker, E.(Symmetry, Integrability and Geometry: Methods and Applications, 2015)
In this paper, an overview is presented of the recent construction of fully back-reacted half-BPS solutions in 11-dimensional supergravity which correspond to near-horizon geometries of M2 branes ending on, or intersecting ...
Using the Wiener-Hopf method, for the model with arithmetic distributions of waiting times Ti and claims Zi in ordinary renewal process, an exact non-ruin probabilities for an insurance company in terms of the factorization ...
Using the Wiener-Hopf method, for the fundamental equation of the risk theory it is obtained an exact solution in terms of the Fourier transforms and factorization.
Pavlov, S.S.; Castejon, F.; Dreval, N.B.(Вопросы атомной науки и техники, 2007)
On the base the theory of Cauchy type integrals is given an analytic continuation of the exact relativistic plasma dispersion functions from the real axis into the complex region and studied their analytical properties in ...
Pavlov, S.S.(Вопросы атомной науки и техники, 2016)
A new exact integral form of the fully relativistic permittivity tensor for plasmas in a magnetic field is given. It is
suitable for numerical applications for arbitrary wave numbers since all integrals in it are ...
Pavlov, S.S.; Castejon, F.(Вопросы атомной науки и техники, 2005)
On the ground of the theory of singular integrals with Cauchy kernel the exact plasma dispersion functions (PDFs) are introduced and studied. Those PDFs make more exact the weakly relativistic PDFs and generalize them on ...
Krajewski, T.; Toriumi, R.(Symmetry, Integrability and Geometry: Methods and Applications, 2016)
In this paper, we review some general formulations of exact renormalisation group equations and loop equations for tensor models and tensorial group field theories. We illustrate the use of these equations in the derivation ...
Abbasi, A.; Ramin, A.(Algebra and Discrete Mathematics, 2019)
In this paper, exact sequences of graphs are defined and investigated. Considering some functors on the category of graphs, we study some conditions to determine exactness of functors.
We examine the core-level X-ray photoemission spectroscopy (XPS), X-ray absorption near-edge spectroscopy (XANES) and X-ray emission spectroscopy (XES) in the Falicov-Kimball model by using the exact solution from dynamical ...
The geometric frustration in a class of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chains is
investigated by combining three exact analytical techniques: Kambe projection method, decoration-iteration
transformation ...
Mchedlov-Petrosyan, P.O.; Davydov, L.N.(Доповіді НАН України, 2017)
The one-dimensional version of a nonstandard viscous Cahn–Hilliard system (proposed by Colli et al.) for the order
parameter and chemical potential with a generally asymmetric polynomial double-well potential is considered. ...
A potential dynamics approach is developed to determine the periodic standing and traveling wave patterns associated with self-propelling camphor objects floating on ring-shaped water channels. Exact solutions of the wave ...
Kostov, N.A.; Gerdjikov, V.S.; Valchev, T.I.(Symmetry, Integrability and Geometry: Methods and Applications, 2007)
We present two new families of stationary solutions for equations of Bose-Fermi mixtures with an elliptic function potential with modulus k. We also discuss particular cases when the quasiperiodic solutions become periodic ...