Existence and uniqueness of solution for fluid-plate interaction problem

Ćurković, Andrijana; Marušić–Paloka, Eduard

doi:10.1080/00036811.2015.1027695

Cited by 4 publications

(4 citation statements)

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“…where S 0 (u), µ 0 , ν 0 , κ 0 , and r 0 are given by (5). As a corollary of Proposition 5, we obtain Corollary 2.…”

Section: Thusmentioning

confidence: 52%

“…Acknowledgments: We thank the anonymous referees for informing us of the references [4][5][6][7] and for their helpful comments on our manuscript.…”

Section: Conflicts Of Interestmentioning

confidence: 99%

“…[3] and references therein for more details. Concerning strong and weak solutions for other kind of fluids, we refer, e.g., to [4][5][6][7]. We focus on well-posedness results for strong solutions of the Korteweg-type model in what follows.…”

Section: Introductionmentioning

confidence: 99%

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Local Solvability for a Compressible Fluid Model of Korteweg Type on General Domains

Inna

Saito

2023

Mathematics

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In this paper, we consider a compressible fluid model of the Korteweg type on general domains in the N-dimensional Euclidean space for N≥2. The Korteweg-type model is employed to describe fluid capillarity effects or liquid–vapor two-phase flows with phase transition as a diffuse interface model. In the Korteweg-type model, the stress tensor is given by the sum of the standard viscous stress tensor and the so-called Korteweg stress tensor, including higher order derivatives of the fluid density. The local existence of strong solutions is proved in an Lp-in-time and Lq-in-space setting, p∈(1,∞) and q∈(N,∞), with additional regularity of the initial density on the basis of maximal regularity for the linearized system.

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“…where S 0 (u), µ 0 , ν 0 , κ 0 , and r 0 are given by (5). As a corollary of Proposition 5, we obtain Corollary 2.…”

Section: Thusmentioning

confidence: 52%

“…Acknowledgments: We thank the anonymous referees for informing us of the references [4][5][6][7] and for their helpful comments on our manuscript.…”

Section: Conflicts Of Interestmentioning

confidence: 99%