Shannon Entropy Computations in Navier–Stokes Flow Problems Using the Stochastic Finite Volume Method by Marcin Kamiński, Rafał Leszek Ossowski

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Cruising speed of a cylindrical wing performing small translational-rotational oscillations by A.N. Nuriev

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Localized Turbulent Structures in a Circular Pipe by N.V. Nikitin, V.O. Pimanov

Subjects: “…navier–stokes equations…”
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The Legacy of Roland Glowinski by Bensoussan, Alain, Pironneau, Olivier

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Evolution of CFD numerical methods and physical models towards a full discrete approach by Caltagirone, Jean-Paul

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A Navier–Stokes-Informed Neural Network for Simulating the Flow Behavior of Flowable Cement Paste in 3D Concrete Printing by Tianjie Zhang, Donglei Wang, Yang Lu

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Existence of a weak solution to a regularized moving boundary fluid-structure interaction problem with poroelastic media by Kuan, Jeffrey, Čanić, Sunčica, Muha, Boris

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Attempts to Determine the Velocity Variations in Ocean Geostrothrophic Currents Based on GRACE Solutions by Zofia Rzepecka, Monika Birylo

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Determination of hydrodynamic forces acting on the body in an unsteady viscous flow using characteristics of the flow on the control surface by A.N. Nuriev, A.M. Kamalutdinov, O.N. Zaitseva

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Navier-Stokes: Singularities and Bifurcations by Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales

“… This article presents substantial advances in the analysis of the Navier-Stokes equations for both compressible and incompressible fluids, focusing on the formation of singularities, hypercomplex bifurcations, and regularity in Sobolev and Besov spaces. …”
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Turbulent Flow Analysis with Banach and Sobolev Spaces in the LES Method Incorporating the Smagorinsky Subgrid-Scale Model by Rômulo Damasclin Chaves dos Santos, Jorge Henrique Oliveira Sales

“…At first, the effort dedicated here aims to present a more comprehensive mathematical analysis, promoting a more leveled understanding of the challenge posed by the regularity of the Navier-Stokes equations. …”
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A Remark on the Regularity Criterion for the 3D Boussinesq Equations Involving the Pressure Gradient by Zujin Zhang

“…This extends and improves the result of Gala (Gala 2013) for the Navier-Stokes equations.…”
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Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation by Yoshiaki Kusaka

“…The model is described as a free boundary problem consisting of the Navier-Stokes equations and a surface mass balance equation. …”
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Algebra Properties in Fourier-Besov Spaces and Their Applications by Xuhuan Zhou, Weiliang Xiao

“…As applications of these algebra properties, we establish the global well-posedness for small initial data and local well-posedness for large initial data of the generalized Navier-Stokes equations. Particularly, we give a blow-up criterion of the solutions in Fourier-Besov spaces as well as a space analyticity of Gevrey regularity.…”
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On the Nusselt Solution of a Nonisothermal Two-Fluid Inclined Film Flow by Jürgen Socolowsky

“…The corresponding mathematical models often represent two-dimensional free boundary value problems for the Navier-Stokes equations or their modifications. In the present paper we are concerned with a particular problem of coupled heat and mass transfer. …”
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Global Existence for the 3D Tropical Climate Model with Small Initial Data in H˙1/2ℝ3∗ by Hui Zhang, Juan Xu

“…This result can be regard as a generalization of the famous Fujita–Kato result to 3D Navier–Stokes equations.…”
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Sensitivity Analysis of Transonic Flow over J-78 Wings by Alexander Kuzmin

“…Solutions of the unsteady Reynolds-averaged Navier-Stokes equations are obtained with a finite-volume solver on unstructured meshes. …”
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Global Well-Posedness and Large-Time Behavior for the Equilibrium Diffusion Model in Radiation Hydrodynamics by Peng Jiang, Jinkai Ni, Lu Zhu

“…The model consists of the compressible Navier-Stokes equations coupled with radiation effect terms described by the fourth power of temperature. …”
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Conservation Laws for Some Systems of Nonlinear Partial Differential Equations via Multiplier Approach by Rehana Naz

“…The conservation laws for the integrable coupled KDV type system, complexly coupled kdv system, coupled system arising from complex-valued KDV in magnetized plasma, Ito integrable system, and Navier stokes equations of gas dynamics are computed by multipliers approach. …”
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Nanofluidics and Nanofluids Shape Oscillation of a Single Microbubble in an Ultrasound Field by Xian Li, Fubing Bao, Yuebing Wang

“…The shape oscillation of a single two-dimensional nitrogen microbubble in an ultrasound field is numerically investigated. The Navier–Stokes equations are solved by using the finite-volume method combined with the volume-of-fluid model. …”
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