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Elastodynamics in Domains with Edges. / Korikov, Dmitrii ; Plamenevskii, Boris ; Sarafanov, Oleg.

Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains. Springer Nature, 2021. p. 129-195 (Operator Theory: Advances and Applications; Vol. 284).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

Harvard

Korikov, D , Plamenevskii, B & Sarafanov, O 2021, Elastodynamics in Domains with Edges. in Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains. Operator Theory: Advances and Applications, vol. 284, Springer Nature, pp. 129-195. https://doi.org/10.1007/978-3-030-65372-9_4

APA

Korikov, D., Plamenevskii, B., & Sarafanov, O. (2021). Elastodynamics in Domains with Edges. In Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains (pp. 129-195). (Operator Theory: Advances and Applications; Vol. 284). Springer Nature. https://doi.org/10.1007/978-3-030-65372-9_4

Vancouver

Korikov D , Plamenevskii B , Sarafanov O. Elastodynamics in Domains with Edges. In Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains. Springer Nature. 2021. p. 129-195. (Operator Theory: Advances and Applications). https://doi.org/10.1007/978-3-030-65372-9_4

Author

Korikov, Dmitrii ; Plamenevskii, Boris ; Sarafanov, Oleg. / Elastodynamics in Domains with Edges. Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains. Springer Nature, 2021. pp. 129-195 (Operator Theory: Advances and Applications).

BibTeX

@inbook{fa958bd72a044cf3b8e6fcbd045e507c,

title = "Elastodynamics in Domains with Edges",

abstract = "Let G be a domain in ℝm with compact closure G¯, m ≥ 2. The boundary ∂G may contain nonintersecting closed smooth “edges” of various dimensions. In the cylinder {(x, t) : x ∈ G, −∞ < t < +∞}, we study the equations of elastodynamics. The Dirichlet condition (displacements) or the Neumann condition (stresses) is given on the boundary ∂G× ℝ of the cylinder. The goal is to describe the behavior of solutions near edges.",

author = "Dmitrii Korikov and Boris Plamenevskii and Oleg Sarafanov",

year = "2021",

doi = "10.1007/978-3-030-65372-9_4",

language = "English",

series = "Operator Theory: Advances and Applications",

publisher = "Springer Nature",

pages = "129--195",

booktitle = "Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains",

address = "Germany",

}

RIS

TY - CHAP

T1 - Elastodynamics in Domains with Edges

AU - Korikov, Dmitrii

AU - Plamenevskii, Boris

AU - Sarafanov, Oleg

PY - 2021

Y1 - 2021

N2 - Let G be a domain in ℝm with compact closure G¯, m ≥ 2. The boundary ∂G may contain nonintersecting closed smooth “edges” of various dimensions. In the cylinder {(x, t) : x ∈ G, −∞ < t < +∞}, we study the equations of elastodynamics. The Dirichlet condition (displacements) or the Neumann condition (stresses) is given on the boundary ∂G× ℝ of the cylinder. The goal is to describe the behavior of solutions near edges.

AB - Let G be a domain in ℝm with compact closure G¯, m ≥ 2. The boundary ∂G may contain nonintersecting closed smooth “edges” of various dimensions. In the cylinder {(x, t) : x ∈ G, −∞ < t < +∞}, we study the equations of elastodynamics. The Dirichlet condition (displacements) or the Neumann condition (stresses) is given on the boundary ∂G× ℝ of the cylinder. The goal is to describe the behavior of solutions near edges.

UR - http://www.scopus.com/inward/record.url?scp=85103875977&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/df39ba53-6eff-3797-b278-782706056a68/

U2 - 10.1007/978-3-030-65372-9_4

DO - 10.1007/978-3-030-65372-9_4

M3 - Chapter

AN - SCOPUS:85103875977

T3 - Operator Theory: Advances and Applications

SP - 129

EP - 195

BT - Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains

PB - Springer Nature

ER -

ID: 77222773