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Charve, Frédéric (ed.) et al., Mathematical methods and modeling for mixtures of fluids and interface evolution. Paris: Société Mathématique de France (SMF). Panor. Synth. 61, 29-76 (2024).

MSC: 47-01 47D06 35Q30 76D03

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Auscher, Pascal; Vasilyev, Ioann

On the use of tent spaces for solving PDEs: a proof of the Koch-Tataru theorem. (English) Zbl 07958499

Charve, Frédéric (ed.) et al., Mathematical methods and modeling for mixtures of fluids and interface evolution. Paris: Société Mathématique de France (SMF). Panor. Synth. 61, 1-27 (2024).

MSC: 35Q30 76D05 42B37 42B35 35B65

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García-Archilla, Bosco; John, Volker; Katz, Sarah; Novo, Julia

POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution: error bounds for the pressure. (English) Zbl 07958076

J. Numer. Math. 32, No. 4, 301-329 (2024).

MSC: 76-XX

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Lange, Theresa

Regularization by noise of an averaged version of the Navier-Stokes equations. (English) Zbl 07957670

J. Dyn. Differ. Equations 36, No. 4, 3011-3036 (2024).

MSC: 35Q30 76D05 60H15 60H50 35B44 35B65 35R25 35R60

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Hu, Zhongtian

Suppression of chemotactic singularity via viscous flow with large buoyancy. (English) Zbl 07957218

SIAM J. Math. Anal. 56, No. 6, 7866-7902 (2024).

MSC: 35B40 35K20 35K59 35Q35 76D03 76D05 92C17 35Q35

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Chae, Dongho; Wolf, Jörg

A new condition on the vorticity for partial regularity of a local suitable weak solution to the Navier-Stokes equations. (English) Zbl 07956421

Arch. Ration. Mech. Anal. 248, No. 6, Paper No. 123, 23 p. (2024).

MSC: 35Q30 76D03 76D05 35B65 35D30

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Ray, Kallol; Goswami, Deepjyoti; Bajpai, Saumya

Discontinuous Galerkin two-grid method for the transient Navier-Stokes equations. (English) Zbl 07956264

Comput. Methods Appl. Math. 24, No. 4, 935-966 (2024).

MSC: 76M10 65M60 65M15 76D05

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Chaudhuri, Nilasis; Feireisl, Eduard; Zatorska, Ewelina; Zegarliński, Bogusław

On thermally driven fluid flows arising in astrophysics. (English) Zbl 07955361

Physica D 470, Part A, Article ID 134401, 13 p. (2024).

MSC: 76Dxx 35-XX 35Qxx

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Kim, Jae-Myoung

Remark on regularity criterion for weak solutions to the shear thinning fluids. (English) Zbl 07953703

Math. Bohem. 149, No. 3, 287-294 (2024).

MSC: 76D05 35Q35

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Fujiwara, Yasushi

Dynamics of turbulence production by attenuating interfacial gravity waves observed in air-water coupled wave-resolving simulation. (English) Zbl 07953445

J. Fluid Mech. 999, Paper No. A97, 44 p. (2024).

MSC: 76D33 76D05 76F10 76M22 76M20

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Pai, Pei-Hsin; Kan, Heng-Chuan; Wong, Hock-Kiet; Tai, Yih-Chin

A neural particle method with interface tracking and adaptive particle refinement for free surface flows. (English) Zbl 07952150

Commun. Comput. Phys. 36, No. 4, 1021-1052 (2024).

MSC: 76M28 35Q30 35Q31 68T07 76D05

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Liu, Zhaoxia; Han, Pigong

Long time behavior for the two-dimensional magnetohydrodynamic flows in a general domain. (English) Zbl 07952048

J. Math. Phys. 65, No. 11, Article ID 111501, 16 p. (2024).

MSC: 76W05 35Q30 35Q35 76D05 35B40

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Ma, Bole; Yue, Baozeng; Lu, Yu; Hao, Bailong

Numerical and experimental study on the nonlinear liquid sloshing in ellipsoidal tanks. (English) Zbl 07951899

Acta Mech. 235, No. 9, 5545-5560 (2024).

MSC: 76D33 76D05 76M10 76-05

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Breit, Dominic; Prohl, Andreas

Error analysis for 2D stochastic Navier-Stokes equations in bounded domains with Dirichlet data. (English) Zbl 07951603

Found. Comput. Math. 24, No. 5, 1643-1672 (2024).

MSC: 65M60 65M06 65N30 65M15 65C30 60H15 60H35 76D05 76M10 76M20 35R60 35Q30

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Fava, T. C. L.; Massaro, D.; Schlatter, P.; Henningson, D. S.; Hanifi, A.

Transition to turbulence on a rotating wind turbine blade at \(Re_c = 3 \times 10^5\). (English) Zbl 07951411

J. Fluid Mech. 999, Paper No. A54, 34 p. (2024).

MSC: 76F06 76F40 76E15 76E07 76U05 76F65 76M22

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Savino, Benjamin S.; Wu, Wen

Impact of spanwise rotation on flow separation and recovery behind a bulge in channel flows. (English) Zbl 07951410

J. Fluid Mech. 999, Paper No. A51, 40 p. (2024).

MSC: 76U05 76F40 76F65 76M99

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Linot, Alec J.; Schmid, Peter J.; Taira, Kunihiko

On the laminar solutions and stability of accelerating and decelerating channel flows. (English) Zbl 07951408

J. Fluid Mech. 999, Paper No. A43, 42 p. (2024).

MSC: 76E05 76D05

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Sarazov, Alexey Vladimirovich; Kozelkov, Andrey Sergeevich

Modification of the IDW method for numerical simulation of aerodynamics problems on large grids. (Russian) Zbl 07950184

Sib. Èlektron. Mat. Izv. 21, No. 2, 591-620 (2024).

MSC: 35Q30 76D05 65M60 65N50 76M10

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Full Text: DOI MNR

Chemetov, Nikolai; Cipriano, Fernanda

A boundary control problem for stochastic 2D-Navier-Stokes equations. (English) Zbl 07950133

J. Optim. Theory Appl. 203, No. 2, 1847-1879 (2024).

Reviewer: Piotr Biler (Wrocław)

MSC: 35Q30 76D55 60H15

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Gaĭdukov, Roman Kosntantinovich

Existence of solution of Rayleigh-type equation on semi-infinite cylinder with Coulomb-type potential. (Russian. English summary) Zbl 07949525

Sib. Èlektron. Mat. Izv. 21, No. 1, 178-187 (2024).

MSC: 35Q30 76D05 76D10 35A01 35A02

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Ngoc, Tran Thi; Xuan, Pham Truong

Stability of solutions of stationary Boussinesq systems in weak-Morrey spaces. (English) Zbl 07948898

Bull. Braz. Math. Soc. (N.S.) 55, No. 4, Paper No. 49, 24 p. (2024).

MSC: 35B40 35B65 35Q30 35Q35 76D03 76D07

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Fanelli, Francesco; Feireisl, Eduard

Thermally driven fluid convection in the incompressible limit regime. (English) Zbl 07948545

Pure Appl. Anal. 6, No. 3, 835-858 (2024).

MSC: 35Q30 35B40 35B25 76N15

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Deteix, J.; Yakoubi, D.

An iterative split scheme for steady flows with heterogeneous viscosity. (English) Zbl 07947896

Comput. Methods Appl. Mech. Eng. 432, Part A, Article ID 117391, 21 p. (2024).

MSC: 76M10 65M60 65M15 76D05

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Haubner, Johannes; Ulbrich, Michael

Numerical methods for shape optimal design of fluid-structure interaction problems. (English) Zbl 07947870

Comput. Methods Appl. Mech. Eng. 432, Part A, Article ID 117352, 22 p. (2024).

MSC: 74F10 76M10 65N30 74P10 76D05

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Hamdache, Kamel; Hamroun, Djamila; Jaffal-Mourtada, Basma

Time-periodic solutions to heated ferrofluid flow models. (English) Zbl 07947502

J. Lond. Math. Soc., II. Ser. 110, No. 4, Article ID e12990, 37 p. (2024).

MSC: 35Q35 76D05

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Vetchanin, Evgeny V.; Valieva, Alina R.

Analysis of the force and torque arising during the oscillatory motion of a Joukowsky foil in a fluid. (English) Zbl 07946636

Russ. J. Nonlinear Dyn. 20, No. 1, 79-93 (2024).

MSC: 37Mxx 65Nxx 70Exx 76Dxx

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Han-Kwan, Daniel; Michel, David

On hydrodynamic limits of the Vlasov-Navier-Stokes system. (English) Zbl 07946546

Memoirs of the American Mathematical Society 1516. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7047-0/pbk; 978-1-4704-7967-1/ebook). v, 115 p. (2024).

Reviewer: Alain Brillard (Riedisheim)

MSC: 35Q35 35-02 35Q83 35Q30 35Q20 35B40 35D30 76D05 76P05 70F40

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Found 27,481 Documents (Results 1–100)

An asymptotic-preserving and exactly mass-conservative semi-implicit scheme for weakly compressible flows based on compatible finite elements. (English) Zbl 07974291

Dynamically regularized Lagrange multiplier schemes with energy dissipation for the incompressible Navier-Stokes equations. (English) Zbl 07974290

Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier-Stokes system. (English) Zbl 07974032

Stability and related zero viscosity limit of steady plane Poiseuille-Couette flows with no-slip boundary condition. (English) Zbl 07971494

The Navier-Stokes equations on manifolds with boundary. (English) Zbl 07971477

The optimal time-decay estimates for 2-D inhomogeneous Navier-Stokes equations. (English) Zbl 07971466

Asymptotic behavior for stationary Navier-Stokes equations. (English) Zbl 07971460

Incompressible limit of all-time solutions to isentropic Navier-Stokes equations with ill-prepared data in bounded domains. (English) Zbl 07967943

Stream virtual elements for the Navier-Stokes system: nonstandard boundary conditions and variable recovery algorithms. (English) Zbl 07967119

The flow field due to a sphere moving in a viscous, density-stratified fluid. (English) Zbl 07967107

Stability threshold of nearly-Couette shear flows with Navier boundary conditions in 2D. (English) Zbl 07966796

Global well-posedness of the Navier-Stokes-Darcy system in 3D horizontally infinite strip domain. (English) Zbl 07965949

The exact limits and improved decay estimates for all order derivatives of the global weak solutions of \(n\)-dimensional incompressible Navier-Stokes equations. (English) Zbl 07965922

Weak global attractor for the \(3D\)-Navier-Stokes equations via the globally modified Navier-Stokes equations. (English) Zbl 07964909

Stability of Couette flow for 2D tropical climate system with zero thermal dissipation. (English) Zbl 07964140

Bayesian inverse Navier-Stokes problems: joint flow field reconstruction and parameter learning. (English) Zbl 07964135

Asymmetric vertical transport in weakly forced shallow flows. (English) Zbl 07963250

Highly singular (frequentially sparse) steady solutions for the 2D Navier-Stokes equations on the torus. (English) Zbl 07962982

Relative energy method for weak-strong uniqueness of the inhomogeneous Navier-Stokes equations far from vacuum. (English) Zbl 07961654

Extension criterion involving the middle eigenvalue of the strain tensor on local strong solutions to the 3D Navier-Stokes equations. (English) Zbl 07961494

Energy equality of the two-fluid incompressible Navier-Stokes-Maxwell equations. (English) Zbl 07961489

Strong alignment of micro-rotation and vorticity in \(3D\) micropolar flows. (English) Zbl 07959766

Higher-order conservative discretizations on arbitrarily varying non-uniform grids. (English) Zbl 07959243

Stratified ocean currents with constant vorticity. (English) Zbl 07959175

Existence of orthogonal domain walls in Bénard-Rayleigh convection. (English) Zbl 07959172

Convergence analysis and applicability of a domain decomposition method with nonlocal interface boundary conditions. (English) Zbl 07958814

Global well-posedness for second grade fluids. (English) Zbl 07955229

The relations between Hölder continuity assumptions on the direction of vorticity and energy equality. (English) Zbl 07955036

Uniform error analysis of an exponential IMEX-SAV method for the incompressible flows with large Reynolds number based on grad-div stabilization. (English) Zbl 07954704

An analysis of second-order sav-filtered time-stepping finite element method for unsteady natural convection problems. (English) Zbl 07954683

A generalized scalar auxiliary variable approach for the Navier-Stokes-\(\omega\)/Navier-Stokes-\(\omega\) equations based on the grad-div stabilization. (English) Zbl 07954655

Stabilizing effect of the magnetic field and decay estimates for the 3D MHD equations with only one direction dissipation. (English) Zbl 07954230

Nonlinear twofold saddle point-based mixed finite element methods for a regularized \(\mu(I)\)-rheology model of granular materials. (English) Zbl 07953962

Error estimates of time discretizations for a Cahn-Hilliard phase-field model for the two-phase magnetohydrodynamic flows. (English) Zbl 07952206

Mixed virtual element approximation for the five-field formulation of the steady Boussinesq problem with temperature-dependent parameters. (English) Zbl 07951580

A localized criterion for the regularity of solutions to Navier-Stokes equations. (English) Zbl 07950076

Energy conservation for 3D Euler and Navier-Stokes equations in a bounded domain: applications to Beltrami flows. (English) Zbl 07948925

Anomalous smoothing effect on the incompressible Navier-Stokes-Fourier limit from Boltzmann with periodic velocity. (English) Zbl 07948488

Hölder continuous solutions of Boussinesq equations with Onsager-critical spatial regularity. (English) Zbl 07947609

Continuous dependence on initial data for the solutions of 3-D anisotropic Navier-Stokes equations. (English) Zbl 07945291

Exponential stability of a diffuse interface model of incompressible two-phase flow with phase variable dependent viscosity and vacuum. (English) Zbl 07941675

Introduction to incompressible Navier-Stokes equations (to appear). (Introduction aux équations de Navier-Stokes incompressibles.) (French) Zbl 07929358

Dissipative solutions to the model of a general compressible viscous fluid with the Coulomb friction law boundary condition. (English) Zbl 07923640

On asymptotic properties of the Boussinesq equations. (English) Zbl 07923038

The global existence for the strong solution of the stochastic 3-D incompressible anisotropic Naiver-Stokes equations. (English) Zbl 07922159

Global Fujita-Kato solutions of the incompressible inhomogeneous magnetohydrodynamic equations. arXiv:2501.06543

A hybrid pressure formulation of the face-centred finite volume method for viscous laminar incompressible flows. arXiv:2501.04864

Optimal Control of the Navier-Stokes equations via Pressure Boundary Conditions. arXiv:2501.04548

The ergodicity and uniform large deviations for the 1D stochastic Landau-Lifshitz-Bloch equation. (English) Zbl 07972604

Global well-posedness and incompressible limit of the Hall-magnetohydrodynamic system in a bounded domain. (English) Zbl 07970751

Numerical investigation of thermally stratified MHD fluid flow with viscous dissipation and heat sink/source effect. (English) Zbl 07969914

MHD flow through variable permeability porous medium in a parallel plate channel with constant suction and injection at the plates: a numerical investigations. (English) Zbl 07969910

A deep learning method for incompressible fluid equations and the coupling problems. (Chinese. English summary) Zbl 07969228

Global regularity of the 3D generalized Navier-Stokes equations with damping term. (English) Zbl 07966544

Some regularity criteria via the signed curl operators for the 3D Navier-Stokes equations. (English) Zbl 07966543

Binary fluid flow simulations with free energy lattice Boltzmann methods. (English) Zbl 07966532

Error analysis of the nonconforming \(P_1\) finite element method to the sequential regularization formulation for unsteady Navier-Stokes equations. (English) Zbl 07966522

Application of IDEAL algorithm based on the collocated unstructured grid for incompressible flows. (English) Zbl 07966489

Lattice Boltzmann study of the double-diffusive convection in porous media with Soret and Dufour effects. (English) Zbl 07966485

The 2D Boussinesq-Navier-Stokes equations with logarithmically supercritical dissipation. (English) Zbl 07965557

Modeling and simulation of pollution transport in the Mediterranean Sea using enriched finite element method. (English) Zbl 07963844

On one class of solutions of 2D Navier-Stokes equations for the incompressible fluids. (English) Zbl 07961993

Solution of the millennium problem related to the Navier-Stokes equations. (English) Zbl 07961747

Well-posedness of the two-dimensional stationary Navier-Stokes equations around a uniform flow. (English) Zbl 07961223

An attempt at axiomatization of extending mechanism of solutions to the fluid dynamical systems. (English) Zbl 07960241

On the Liouville theorem and energy conservation of the tropical climate model. (English) Zbl 07960147

Dynamics of solutions for the three-dimensional stochastic globally modified Navier-Stokes equations on unbounded domains. (English) Zbl 07960145

Several refined regularity criteria for the Navier-Stokes equations. (English) Zbl 07960083

Random perturbations for the chemotaxis-fluid model with fractional dissipation: global pathwise weak solutions. (English) Zbl 07959999

A multigrid reduction framework for domains with symmetries. (English) Zbl 07959773

Global unique solutions for an initial-boundary value problem for the 2D dual-porosity-Navier-Stokes system with large initial data. (English) Zbl 07959318

Parameter Meyer wavelets, nonlinear decaying rate and new iteration space defined by single norm. (English) Zbl 07959315

The semi-implicit DLN algorithm for the Navier-Stokes equations. (English) Zbl 07958576