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On Solonnikov parabolicity of the evolution anisotropic Stokes and Oseen PDE systems. (English) Zbl 07919558

Duduchava, Roland (ed.) et al., Tbilisi analysis and PDE seminar. Extended abstracts of the 2020–2023. Seminar talks. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 7, 153-159 (2024).

MSC: 35K40 35Q30 76D07

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Kohr, Mirela; Nistor, Victor; Wendland, Wolfgang L.

The Stokes operator on manifolds with cylindrical ends. (English) Zbl 07910517

J. Differ. Equations 407, 345-373 (2024).

MSC: 35R01 35Q35 76M99

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Medková, Dagmar

The mixed problem for the Darcy-Forchheimer-Brinkman system. (English) Zbl 07901391

J. Differ. Equations 405, 398-429 (2024).

MSC: 35Q35 76S05 76D07 47H10 35A01

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Kohr, Mirela; Precup, Radu

Localization of energies in Navier-Stokes models with reaction terms. (English) Zbl 07896936

Anal. Appl., Singap. 22, No. 6, 1053-1073 (2024).

MSC: 35Q30 76D05 76S05 76V05 35A15 47H10

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Wendland, Wolfgang L.

On the construction of the Stokes flow in a domain with cylindrical ends. (English) Zbl 07883067

Math. Methods Appl. Sci. 47, No. 12, 10000-10005 (2024).

MSC: 35R01 76Mxx

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Jaouabi, Ahlem; Khelifi, Abdessatar

Asymptotic behavior for eigenvalues and eigenfunctions associated to Stokes operator in the presence of a rapidly oscillating boundary. (English) Zbl 1539.35152

Math. Methods Appl. Sci. 47, No. 4, 1915-1939 (2024).

MSC: 35P20 35P15 35P10 35B05

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Miura, Tatsu-Hiko

Approximation of a solution to the stationary Navier-Stokes equations in a curved thin domain by a solution to thin-film limit equations. (English) Zbl 1539.35172

J. Math. Fluid Mech. 26, No. 2, Paper No. 33, 35 p. (2024).

MSC: 35Q30 76D05 76A20 35B40

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Medková, Dagmar

One Navier’s problem for the Brinkman system. (English) Zbl 1533.35279

Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 70, No. 1, 89-106 (2024).

MSC: 35Q35 76S05 76D07 76D10 35A01 35A02

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Papuc, Ioan

A Dirichlet-transmission problem for Darcy-Forchheimer-Brinkman and Navier-Stokes equations in bounded Lipschitz domain. (English) Zbl 1533.35096

Result. Math. 79, No. 2, Paper No. 55, 29 p. (2024).

MSC: 35J25 76D05 35A01 35A02

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Maekawa, Yasunori; Miura, Tatsu-Hiko

Rate of the enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere. (English) Zbl 07922671

Ozawa, Tohru (ed.), Collected papers in honor of Yoshihiro Shibata. Cham: Birkhäuser. 207-257 (2023).

MSC: 35Q30 35R01 47A10 76D05

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Jin, Chunhua

A chemotaxis-Stokes system with nonhomogeneous boundary condition: global large-datum solution and asymptotic behavior. (English) Zbl 1536.35335

ZAMM, Z. Angew. Math. Mech. 103, No. 5, Article ID e202200070, 29 p. (2023).

MSC: 35Q92 35Q35 92C17 76D07 76S05 76T20 35B65 35K92

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Mikhailov, Sergey E.

Stationary anisotropic Stokes, Oseen and Navier-Stokes systems: periodic solutions in \(\mathbb{R}^n\). (English) Zbl 1532.35179

Math. Methods Appl. Sci. 46, No. 9, 10903-10928 (2023).

MSC: 35J57 35A01 35A02

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Pramanik, Abdush Salam; Dey, Bibaswan; Karmakar, Timir; Saha, Kalyan

Two-phase modeling of fluid injection inside subcutaneous layer of skin. (English) Zbl 07749669

Int. J. Eng. Sci. 192, Article ID 103935, 23 p. (2023).

MSC: 92C10 92C35 92C50 35B20 76D05

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Kohr, Mirela; Precup, Radu

Analysis of Navier-Stokes models for flows in bidisperse porous media. (English) Zbl 1514.35319

J. Math. Fluid Mech. 25, No. 2, Paper No. 38, 16 p. (2023).

MSC: 35Q30 76D05 76S05 76V05 35A15 35A01 35A02 47J26

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Miura, Tatsu-Hiko

Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part. (English) Zbl 1507.35146

Nonlinearity 36, No. 3, 1716-1742 (2023).

MSC: 35Q30 76D05 35B35 35R01

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Mikhailov, S. E.

Periodic solutions in \({\mathbb{R}}^n\) for stationary anisotropic Stokes and Navier-Stokes systems. (English) Zbl 07910562

Constanda, Christian (ed.) et al., Integral methods in science and engineering. Applications in theoretical and practical research. Based on talks given at the 16th symposium on the theory and applications of integral methods in science and engineering, IMSE, virtual, July 2021. Cham: Birkhäuser. 227-243 (2022).

MSC: 35Q30 76D05 76D07 76N10 35B10 35B65 35A01 35A02