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   Articles with "solution cauchy" as a keyword



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Classical Fundamental Solution of the Cauchy Problem for Ultraparabolic Kolmogorov-Type Equations with Two Groups of Spatial Variables of Degeneration. I

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recommendations! Published in 2020 at "Journal of Mathematical Sciences"

DOI: 10.1007/s10958-020-04726-z

Abstract: We construct a classical fundamental solution of the Cauchy problem for the degenerate ultraparabolic Kolmogorov-type equation with two groups of spatial variables of degeneration. We also established exact estimates for this solution and its derivatives. read more here.

Keywords: ultraparabolic kolmogorov; cauchy problem; fundamental solution; kolmogorov type ... See more keywords

DRBEM solution of the Cauchy MHD duct flow with a slipping perturbed boundary

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recommendations! Published in 2018 at "Engineering Analysis With Boundary Elements"

DOI: 10.1016/j.enganabound.2018.04.007

Abstract: Abstract In this study, the MHD flow direct and Cauchy problems are solved in a rectangular duct with a perturbed, curved, and slip upper boundary. The aim is to recompute the slipping velocity and the… read more here.

Keywords: duct; mhd; cauchy; perturbed boundary ... See more keywords

Large-time behavior of weak solution to a Cauchy problem for the Swift-Hohenberg equation

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recommendations! Published in 2025 at "Journal of Mathematical Physics"

DOI: 10.1063/5.0246287

Abstract: We shall study the large-time behavior of weak solution to the Cauchy problem of the Swift-Hohenberg equation in both cases, the non-conserved and the conserved one, respectively. We first prove the existence of global weak… read more here.

Keywords: weak solution; solution cauchy; time; solution ... See more keywords
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Solution of the Cauchy problem for the wave equation using iterative regularization

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recommendations! Published in 2021 at "Inverse Problems in Science and Engineering"

DOI: 10.1080/17415977.2021.1949590

Abstract: We propose a regularization method based on the iterative conjugate gradient method for the solution of a Cauchy problem for the wave equation in one dimension. This linear but ill-posed Cauchy pro... read more here.

Keywords: problem wave; cauchy problem; regularization; solution cauchy ... See more keywords

On an Approximate Solution of the Cauchy Problem for Systems of Equations of Elliptic Type of the First Order

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recommendations! Published in 2022 at "Entropy"

DOI: 10.3390/e24070968

Abstract: In this paper, on the basis of the Carleman matrix, we explicitly construct a regularized solution of the Cauchy problem for the matrix factorization of Helmholtz’s equation in an unbounded two-dimensional domain. The focus of… read more here.

Keywords: problem; cauchy problem; approximate solution; solution cauchy ... See more keywords

Regularized Solution of the Cauchy Problem in an Unbounded Domain

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recommendations! Published in 2022 at "Symmetry"

DOI: 10.3390/sym14081682

Abstract: In this paper, using the construction of the Carleman matrix, we explicitly find a regularized solution of the Cauchy problem for matrix factorizations of the Helmholtz equation in a three-dimensional unbounded domain. read more here.

Keywords: solution cauchy; unbounded domain; cauchy problem; regularized solution ... See more keywords