Propagation of the Coupled Waves in the Electromagnetoelastic Thick-Walled Sphere

Vestyak, V. A.; Тарлаковский, Д. В.

doi:10.1007/978-3-319-91989-8_99

Cited by 2 publications

(1 citation statement)

References 2 publications

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“…We also note papers [22,23], in which the necessity of solving the equations of mathematical physics with variable coefficients is due to the applied problems leading to them. Such problems lead to topical issues of studying the nonstationary interaction of fields of various nature, in which one-dimensional problems of the nonstationary interaction of mechanical and electromagnetic fields are solved.…”

Section: Applicationsmentioning

confidence: 99%

Asymptotic Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients II

Matevossian

Korovina

Vestyak

2022

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The paper is devoted to studying the behavior of solutions of the Cauchy problem for large values of time—more precisely, obtaining an asymptotic expansion characterizing the behavior of the solution of the Cauchy problem for a one-dimensional second-order hyperbolic equation with periodic coefficients for large values of the time parameter t. To obtain this asymptotic expansion as t→∞, methods of the spectral theory of differential operators are used, as well as the properties of the spectrum of a non-positive Hill operator with periodic coefficients.

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Section: Applicationsmentioning

confidence: 99%

Asymptotic Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients II

Matevossian

Korovina

Vestyak

2022

Axioms

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show abstract

Asymptotic Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients (Case: H0 > 0)

2022

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The main goal of this article is to study the behavior of solutions of non-stationary problems at large timescales, namely, to obtain an asymptotic expansion characterizing the behavior of the solution of the Cauchy problem for a one-dimensional second-order hyperbolic equation with periodic coefficients at large values of the time parameter t. To obtain an asymptotic expansion as t→∞, the basic methods of the spectral theory of differential operators are used, as well as the properties of the spectrum of the Hill operator with periodic coefficients in the case when the operator is positive: H0>0.

show abstract

Propagation of the Coupled Waves in the Electromagnetoelastic Thick-Walled Sphere

Cited by 2 publications

References 2 publications

Asymptotic Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients II

Asymptotic Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients II

Asymptotic Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients (Case: H0 > 0)

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