Results 41 to 50 of about 433,079 (233)
The Incompressible Navier‐Stokes Equations in Vacuum [PDF]
Communications on Pure and Applied Mathematics, 2017 We are concerned with the existence and uniqueness issue for the inhomogeneous incompressible Navier‐Stokes equations supplemented with H1 initial velocity and only bounded nonnegative density. In contrast to all the previous works on those topics, we do
R. Danchin, Piotr Bogusław Mucha
semanticscholar +1 more source
Generalized Navier–Stokes equations and soft hairy horizons in fluid/gravity correspondence
Nuclear Physics B, 2021 The fluid/gravity correspondence establishes how gravitational dynamics, as dictated by Einstein's field equations, are related to the fluid dynamics, governed by the relativistic Navier–Stokes equations.
A.J. Ferreira–Martins, R. da Rocha
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Journal of Function Spaces, 2020 The paper considers the regularity problem on three-dimensional incompressible Navier-Stokes equations in general orthogonal curvilinear coordinate systems.
Fan Geng, Shu Wang, Yongxin Wang
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The weakest nontrivial idempotent equations [PDF]
, 2016 An equational condition is a set of equations in an algebraic language, and an algebraic structure satisfies such a condition if it possesses terms that meet the required equations. We find a single nontrivial equational condition which is implied by any nontrivial idempotent equational condition.
arxiv +1 more source
New Coalescences for the Painlevé Equations [PDF]
arXiv, 2021 The Painlev\'e equations are here connected to other classes of equations with the Painlev\'e Property (Ince's equations) by the same degeneracy procedure that connects the Painlev\'e equations (coalescence). These Ince's equations here are also connected among themselves like in the traditional Painlev\'e's coalescence cascade.
arxiv
Well-posedness analysis of a stationary Navier–Stokes hemivariational inequality
Fixed Point Theory and Algorithms for Sciences and Engineering, 2021 This paper provides a well-posedness analysis for a hemivariational inequality of the stationary Navier-Stokes equations by arguments of convex minimization and the Banach fixed point.
Min Ling, Weimin Han
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Using Aichinger's equation to characterize polynomial functions [PDF]
arXiv, 2022 Aichinger's equation is used to give simple proofs of several well-known characterizations of polynomial functions as solutions of certain functional equations. Concretely, we use that Aichinger's equation characterizes polynomial functions to solve, for arbitrary commutative groups, Ghurye-Olkin's functional equation, Wilson's functional equation, the
arxiv
Electronic Journal of Qualitative Theory of Differential EquationsIn this paper, we study a hydrodynamic system modeling the evolution of a plasma subject to a self-induced electromagnetic Lorentz force in incompressible viscous fluids. The system consists of the Navier–Stokes equations coupled with a Maxwell equation.
Dandan Ma, Fan Wu
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Journal of Physics CommunicationsStokes’ hypothesis allows for the frequent neglect of the bulk viscosity term related to fluid dilation effects on the viscous stress tensor in Newtonian flows.
S Kokou Dadzie
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Reproductive solutions for the g-Navier-Stokes and g-Kelvin-Voight equations
Electronic Journal of Differential Equations, 2016 This article presents the existence of reproductive solutions of g-Navier-Stokes and g-Kelvin-Voight equations. In this way, for weak solutions, we reach basically the same result as for classic Navier-Stokes equations.
Luis Friz +2 more
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