Article
Physics, Multidisciplinary
Shuta Noro, Satoshi Hongo, Shin-ichiro Nagahiro, Hisatoshi Ikai, Hiroshi Koibuchi, Madoka Nakayama, Tetsuya Uchimoto, Gildas Diguet
Summary: This paper reports numerical results obtained using Langevin Navier-Stokes simulation of protoplasmic streaming velocity distribution in plant cells, as well as the effects of Brownian force on biological material mixing. The results are in good agreement with previous observations and theoretical expectations.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2023)
Article
Mathematics, Applied
Qionglei Chen, Xiaonan Hao
Summary: The global well-posedness of the three-dimensional chemotaxis Navier-Stokes equations with a class of large initial data slowly varying in one direction is investigated in this study. The proof utilizes the special coupling structure of the system and localization technique in Fourier spaces. This research is copyrighted by Elsevier Ltd.
APPLIED MATHEMATICS LETTERS
(2021)
Article
Mathematics
Mads Kyed
Summary: This study establishes the existence of weak time-periodic solutions to the Navier-Stokes equations in three dimensional whole-space with time-periodic forcing terms. The solutions are constructed in such a way that the structural properties of their kinetic energy are obtained, without any restrictions on either the size or structure of the external force.
Article
Mathematics, Applied
Anthony Suen
Summary: The study presents a Serrin type blow-up criterion for 3-D viscous compressible flows with large external potential force, and proves the global existence of strong solutions for the Cauchy problem of the 3-D compressible Navier-Stokes system with a potential force term. It further discusses the removal of the Serrin condition on velocity in the case of isothermal flows with no vacuum.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Mathematics, Applied
Yanqing Wang, Yongfu Wang, Yulin Ye
Summary: This paper discusses the continuation criteria to the 3D isentropic compressible Navier-Stokes equations in Lorentz spaces. It proves that under certain conditions, there won't be blowup occurrences at a specific time in this system.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Applied
Franco Flandoli, Umberto Pappalettera
Summary: The study investigates the limit from an Euler-type system to the 2D Euler equations with Stratonovich transport noise, proving weak convergence for the vorticity field and strong convergence for the velocity field. The aim is to provide a stochastic reduction of fluid-dynamics models with three different time scales.
JOURNAL OF NONLINEAR SCIENCE
(2021)
Article
Mathematics, Applied
Michael Winkler
Summary: This study examines the evolution system coupling the incompressible Navier-Stokes equations with a class of flux-limited Keller-Segel systems in a bounded domain, and asserts that global solutions exist for the corresponding initial-boundary value problem. The research highlights that the saturation exponent plays a critical role in determining global solvability, even in the presence of fluid interaction.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
(2021)
Article
Computer Science, Interdisciplinary Applications
F. Golse, F. Hecht, O. Pironneau, D. Smets, P. -H. Tournier
Summary: This article presents a method for studying the temperature in a gas subjected to electromagnetic radiations using the Radiative Transfer equations and Navier-Stokes equations. The method employs an H-matrix compression scheme for numerical implementation, which is efficient and accurate.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Mathematics, Applied
Wai-Tong Louis Fan, Michael Jolly, Ali Pakzad
Summary: This study investigates the incompressible 3D Navier-Stokes equations subject to shear induced by noisy movement of the boundary. The effect of noise is quantified by upper bounds on the first two moments of the dissipation rate, with the expected value estimate consistent with the Kolmogorov dissipation law. The boundary movement is modeled by an Ornstein-Uhlenbeck process, and there is a potential for over-dissipation if the Ornstein-Uhlenbeck process is replaced by the Wiener process.
Article
Mathematics, Applied
Subha Pal, Rajib Haloi
Summary: This article studies the solutions of the damped Navier-Stokes equation with the Navier slip boundary condition in a bounded domain Omega in R-3 with sufficiently smooth boundary. The Galerkin method is employed to approximate the solutions, and the existence of solutions is global for beta = 1. Regularity of solutions is established for beta >= 3, and uniqueness of solutions is proven for beta >= 1.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
(2021)
Article
Multidisciplinary Sciences
K. Ohkitani, R. Vanon
Summary: In this study, we propose a systematic method to construct forward self-similar solutions to the Navier-Stokes equations in order to characterize the late stage of decaying turbulent flows. We utilize the vorticity curl as the dependent variable and treat the nonlinear term as a perturbation, allowing us to quantitatively estimate its strength.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2022)
Article
Mathematics, Applied
Anthony Suen
Summary: This paper focuses on the blow-up problem of three-dimensional viscous compressible flows and provides some refined blow-up criteria. For the Cauchy problem of the three-dimensional compressible Navier-Stokes system with potential force term and general pressure, the strong solution exists globally if the velocity satisfies Serrin's condition and the supremum norm of the density is bounded. Furthermore, for the case without initial vacuum state, the blow-up criterion only depends on the density.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
(2022)
Article
Mathematics, Applied
Ju Zhou
Summary: In this paper, the initial-boundary value problem of the Keller-Segel-Navier-Stokes system is considered. The obtained result shows that the solution of the system converges to the solution of the corresponding Stokes variant with an exponential time decay rate as kappa approaches zero.
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
(2023)
Article
Thermodynamics
Youhi Morii, Ajit K. Dubey, Hisashi Nakamura, Kaoru Maruta
Summary: This study conducted a two-dimensional DNS of a knocking experiment using a stoichiometric n-C7H16/O-2/Ar mixture at engine-like condition with the latest reduced SIP isooctane kinetics. The results were compared with experimental observations, showing that the validated reduced chemical kinetics successfully reproduced the knock onset timing and features. The DNS also captured the occurrence of cool flame ignition and rapid formation of density gradients in the unburned gas region.
COMBUSTION AND FLAME
(2021)
Article
Mathematics, Applied
Hui Liu, Chengfeng Sun, Jie Xin
Summary: This paper examines the three-dimensional Navier-Stokes-Maxwell system with damping. It proves the existence and uniqueness of strong solutions for this system when beta >= 3.
APPLIED MATHEMATICS LETTERS
(2023)