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The first boundary value problem for the Laplace equation in unbounded domains
P. 35–35.
We consider the first boundary value problem for elliptic systems defined in unbounded domains, which solutions satisfy the condition of finiteness of the Dirichlet integral also called the energy integral.
Shurakov A., Razakova A., Lvov A. et al., IEEE Antennas and Wireless Propagation Letters 2025 Vol. 24 No. 1 P. 88–92
The quality of wireless connections in the sixth-generation (6G) communication networks is tightly linked to the capabilities of smart antenna environments. They should enable effective routing of ultra-narrow radio beams, intrinsic to D-band channels, and make use of so-called reconfigurable intelligent surfaces (RISs). Practical RISs are seriously judged by their cost and operation efficiencies. In ...
Added: January 9, 2025
Preisler Y., Hölttä T., Grünzweig J. et al., Tree Physiology 2022 Vol. 42 No. 4 P. 771–783
Global warming and drying trends, as well as the increase in frequency and intensity of droughts, may have unprecedented impacts on various forest ecosystems. We assessed the role of internal water storage (WS) in drought resistance of mature pine trees in the semi-arid Yatir Forest. Transpiration (T), soil moisture and sap flow (SF) were measured ...
Added: October 27, 2022
Брауэр О., Buryak A., Функциональный анализ и его приложения 2021 Т. 55 № 4 С. 22–39
In a recent paper, given an arbitrary homogeneous cohomological field theory (CohFT), Rossi, Shadrin, and the first author proposed a simple formula for a bracket on the space of local functionals, which conjecturally gives a second Hamiltonian structure for the double ramification hierarchy associated to the CohFT. In this paper we prove this conjecture in ...
Added: September 14, 2022
Arsie A., Buryak A., Lorenzoni P. et al., Communications in Mathematical Physics 2021 Vol. 388 P. 291–328
We define the double ramification hierarchy associated to an F-cohomological field theory and use this construction to prove that the principal hierarchy of any semisimple (homogeneous) flat F-manifold possesses a (homogeneous) integrable dispersive deformation at all orders in the dispersion parameter. The proof is based on the reconstruction of an F-CohFT starting from a semisimple ...
Added: October 29, 2021
Buryak A., Rossi P., Shadrin S., Letters in Mathematical Physics 2021 Vol. 111 Article 13
We propose a remarkably simple and explicit conjectural formula for a bihamiltonian structure of the double ramification hierarchy corresponding to an arbitrary homogeneous cohomological field theory. Various checks are presented to support the conjecture. ...
Added: October 29, 2021
Karpukhin M., Nadirashvili N., Penskoi Alexei V. et al., Journal of Differential Geometry 2021 Vol. 118 No. 2 P. 313–333
We show that for any positive integer k, the k‑th nonzero eigenvalue of the Laplace–Beltrami operator on the two-dimensional sphere endowed with a Riemannian metric of unit area, is maximized in the limit by a sequence of metrics converging to a union of k touching identical round spheres. This proves a conjecture posed by the ...
Added: June 3, 2021
Kechiev L., М.: Грифон, 2021.
This handbook presents a set of calculated analytical formulas for determining the basic electrophysical parameters of electronic equipment: electrical capacity, inductance and wave impedance. These parameters play an essential role in ensuring the signal integrity and power integrity of electronic equipment and its electromagnetic compatibility. It is especially important to have design ratios when designing ...
Added: March 21, 2021
Buryak A., Rossi P., Bulletin of the London Mathematical Society 2021 Vol. 53 No. 3 P. 843–854
In this paper we compute the intersection number of two double ramification (DR) cycles (with different ramification profiles) and the top Chern class of the Hodge bundle on the moduli space of stable curves of any genus. These quadratic DR integrals are the main ingredients for the computation of the DR hierarchy associated to the ...
Added: February 1, 2021
Brauer Gomez O., Buryak A., Journal of High Energy Physics 2021 Vol. 2021 P. 1–15
The paper is devoted to the open topological recursion relations in genus 1, which are partial differential equations that conjecturally control open Gromov-Witten invariants in genus 1. We find an explicit formula for any solution analogous to the Dijkgraaf-Witten formula for a descendent Gromov-Witten potential in genus 1. We then prove that at the approximation ...
Added: February 1, 2021
Balakin S. V., Serbinov D. L., Measurement Techniques 2018 Vol. 60 No. 10 P. 998–1002
A method of determining the level of dielectric liquids from the parameters of a model of a capacitance level sensor and a model of a communication line is considered. The proposed method may be used to eliminate the infl uence of faults in the communication line on the results of a determination of the fueling ...
Added: January 26, 2021
Mazzucchi S., Moretti V., Remizov I. et al., / Series arXiv "math". 2020.
Feynman formulas are representations of solutions to initial value problems, for some parabolic and Schrödinger equations, by the limits of integrals over finite Cartesian powers of some spaces. Two versions of these formulas which were suggested by Feynman himself are associated with names of Trotter and Chernoff respectively. These formulas can be interpreted as approximations ...
Added: August 10, 2020
Синцова К. А., https://ms.hse.ru/voronovo2019, 2019.
В данной работе исследуется модельная задача о стационарных вынужденных колебаниях жидкости при высокой частоте в поле силы тяжести в бесконечном бассейне с коническим дном. Получаются оценки малых установившихся гравитационных колебаний жидкости в окрестности конической точки и на бесконечности. ...
Added: December 6, 2019
Klimenkova O., Menshutin A., Shchur L., Journal of Physics: Conference Series 2018 Vol. 955 No. 012009 P. 1–6
A well known connection between first-passage probability of random walk and
distribution of electrical potential described by Laplace equation is studied. We simulate random
walk in the plane numerically as a discrete time process with fixed step length. We measure
first-passage probability to touch the absorbing sphere of radius R in 2D. We found a regular
deviation of the ...
Added: February 1, 2018
Beklaryan A., Вестник Тамбовского университета. Серия: Естественные и технические науки 2015 Т. 20 № 4 С. 851–856
Continuous stochastic agent-based model of human behavior in a confined space with a given geometry is presented in the paper. An “exit front” is defined, also the flow characteristics of agents is studied, in particular, its intensity. ...
Added: September 15, 2015
Armen L. Beklaryan, International Journal of Pure and Applied Mathematics 2013 Vol. 88 No. 4 P. 499–522
In this paper we consider the first boundary value problem for elliptic systems, defined on unbounded domains, which solutions satisfy a condition of finiteness of the Dirichlet integral, also known as the energy integral. ...
Added: October 31, 2013
Nikitin A. A., Доклады Академии наук 2006 Т. 406 № 4 С. 458–461
Added: September 29, 2013
Nikitin A. A., , in: Progress in Partial Differential EquationsVol. 44.: Springer, 2013. Ch. 10 P. 223–238.
In the present paper we study the boundary control by the third boundary condition on the left end of a string, the right end being fixed. An optimality criterion based on the minimization of an integral of a linear combination of the control itself and its antiderivative raised to an arbitrary power p≥1 is established. A ...
Added: September 28, 2013
Nikitin A. A., Доклады Академии наук 2007 Т. 417 № 6 С. 743–745
Added: September 24, 2013