Models of Elastic Joint of a Plate with Rods Based on Sobolev Point Conditions and Self-Adjoint Extensions of Differential Operators

Standard

Models of Elastic Joint of a Plate with Rods Based on Sobolev Point Conditions and Self-Adjoint Extensions of Differential Operators. / Nazarov, S. A.

In: Differential Equations, Vol. 57, No. 5, 05.2021, p. 683-699.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{4db5e425ea7848f494f1e6a0dd313e00,

title = "Models of Elastic Joint of a Plate with Rods Based on Sobolev Point Conditions and Self-Adjoint Extensions of Differential Operators",

abstract = "Abstract: Two- and one-dimensional Kirchhoff models of thin isotropic plates and rods are combinedinto a single problem describing the deformation of the joint of these elastic objects. Theconjugation conditions at the points of attachment of the rods to the plate are assigned using thetechnique of self-adjoint extensions of fourth-order differential operators in a two-dimensionaldomain and second-order differential operators on one-dimensional segments. Statements ofproblems containing nonlinear transmission conditions, in particular, unilateral constraints, aregiven.",

keywords = "BOUNDARY-VALUE-PROBLEMS",

author = "Nazarov, {S. A.}",

note = "Nazarov, S.A. Models of Elastic Joint of a Plate with Rods Based on Sobolev Point Conditions and Self-Adjoint Extensions of Differential Operators. Diff Equat 57, 683–699 (2021). https://doi.org/10.1134/S0012266121050116",

year = "2021",

month = may,

doi = "10.1134/s0012266121050116",

language = "English",

volume = "57",

pages = "683--699",

journal = "Differential Equations",

issn = "0012-2661",

publisher = "Pleiades Publishing",

number = "5",

}

RIS

TY - JOUR

T1 - Models of Elastic Joint of a Plate with Rods Based on Sobolev Point Conditions and Self-Adjoint Extensions of Differential Operators

AU - Nazarov, S. A.

N1 - Nazarov, S.A. Models of Elastic Joint of a Plate with Rods Based on Sobolev Point Conditions and Self-Adjoint Extensions of Differential Operators. Diff Equat 57, 683–699 (2021). https://doi.org/10.1134/S0012266121050116

PY - 2021/5

Y1 - 2021/5

N2 - Abstract: Two- and one-dimensional Kirchhoff models of thin isotropic plates and rods are combinedinto a single problem describing the deformation of the joint of these elastic objects. Theconjugation conditions at the points of attachment of the rods to the plate are assigned using thetechnique of self-adjoint extensions of fourth-order differential operators in a two-dimensionaldomain and second-order differential operators on one-dimensional segments. Statements ofproblems containing nonlinear transmission conditions, in particular, unilateral constraints, aregiven.

AB - Abstract: Two- and one-dimensional Kirchhoff models of thin isotropic plates and rods are combinedinto a single problem describing the deformation of the joint of these elastic objects. Theconjugation conditions at the points of attachment of the rods to the plate are assigned using thetechnique of self-adjoint extensions of fourth-order differential operators in a two-dimensionaldomain and second-order differential operators on one-dimensional segments. Statements ofproblems containing nonlinear transmission conditions, in particular, unilateral constraints, aregiven.

KW - BOUNDARY-VALUE-PROBLEMS

UR - http://www.scopus.com/inward/record.url?scp=85107533102&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/99447f75-ec23-32ba-8a79-82ac80312ff6/

U2 - 10.1134/s0012266121050116

DO - 10.1134/s0012266121050116

M3 - Article

AN - SCOPUS:85107533102

VL - 57

SP - 683

EP - 699

JO - Differential Equations

JF - Differential Equations

SN - 0012-2661

IS - 5

ER -

ID: 88365864