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pro vyhledávání: '"Criado P"'
In quantum field theories, field redefinitions are often employed to remove redundant operators in the Lagrangian, making calculations simpler and physics more evident. This technique requires some care regarding, among other things, the choice of ob
Externí odkaz:
http://arxiv.org/abs/2408.03369
Autor:
Black, Alexander E., Criado, Francisco
Estimating the number of vertices of a two dimensional projection, called a shadow, of a polytope is a fundamental tool for understanding the performance of the shadow simplex method for linear programming among other applications. We prove multiple
Externí odkaz:
http://arxiv.org/abs/2406.06936
The dynamics of phase transitions (PT) in quantum field theories at finite temperature is most accurately described within the framework of dimensional reduction. In this framework, thermodynamic quantities are computed within the 3-dimensional effec
Externí odkaz:
http://arxiv.org/abs/2406.02667
Publikováno v:
Acta Applicandae Mathematicae 189, 1 (2024)
This paper offers a number of examples showing that in the case of two independent variables the uniform ellipticity of a linear system of differential equations with partial derivatives of the second order, which fulfills condition (3), do not alway
Externí odkaz:
http://arxiv.org/abs/2405.20453
Autor:
Zakradze, Mamuli, Tabagari, Zaza, Koblishvili, Nana, Davitashvili, Tinatin, Sanchez, Jose Maria, Criado-Aldeanueva, Francisco
Publikováno v:
Mathematics 11, 3 (2023)
In the present paper, an algorithm for the numerical solution of the external Dirichlet generalized harmonic problem for a sphere by the method of probabilistic solution (MPS) is given, where generalized indicates that a boundary function has a finit
Externí odkaz:
http://arxiv.org/abs/2405.19500
Publikováno v:
Mathematics and Mechanics of Solids 28 (8), 1798-1808 (2023)
A piecewise-homogeneous elastic orthotropic plate, reinforced with a finite patch of the wedgeshaped, which meets the interface at a right angle and is loaded with tangential and normal forces is considered. By using methods of the theory of analytic
Externí odkaz:
http://arxiv.org/abs/2405.18411
Publikováno v:
Journal of Mathematics 2022, 2787606
A nonlocal contact problem for two-dimensional linear elliptic equations is stated and investigated. The method of separation of variables is used to find the solution of a stated problem in case of Poisson's equation. Then the more general problem w
Externí odkaz:
http://arxiv.org/abs/2405.18342
Publikováno v:
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (ZAMP) 72, 2 (2022)
The exact and approximate solutions of singular integro-differential equations relating to the problems of interaction of an elastic thin finite or infinite non-homogeneous patch with a plate are considered, provided that the materials of plate and p
Externí odkaz:
http://arxiv.org/abs/2405.17647
Publikováno v:
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (ZAMP) 71, 4 (2020)
The problem of constructing an exact solution of singular integro-differential equations related to problems of adhesive interaction between elastic thin semi-infinite homogeneous patch and elastic plate is investigated. For the patch loaded with hor
Externí odkaz:
http://arxiv.org/abs/2405.16572
Publikováno v:
Mathematics and Mechanics of Solids 24 (4), 968-978 (2019)
A contact problem of the theory of electroelasticity for piecewise-homogeneous plate of piezo-electric material with infinite cut and elastic finite inclusion of variable bending rigidity is considered. By using methods of the theory of analytic func
Externí odkaz:
http://arxiv.org/abs/2405.11543