Results 51 to 60 of about 433,079 (233)
Finite Element Modelling of the Hydrodynamic Environment of a Small ROV [PDF]
Modeling, Identification and Control, 1993 This paper addresses a practical problem, namely, modeling the hydrodynamic environment of a small ROV. This has become the problem of solving time-dependent incompressible Navier-Stokes equations with moving boundaries and a new method is developed to ...
Ren Guang, Jens G. Balchen
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Abstract and Applied Analysis, 2013 This paper presents two-level iteration penalty finite element methods to approximate the solution of the Navier-Stokes equations with friction boundary conditions.
Yuan Li, Rong An
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Existence and Uniqueness of a Fractional Fokker-Planck Equation [PDF]
arXiv, 2020 Stochastic differential equations with Levy motion arise the mathematical models for various phenomenon in geophysical and biochemical sciences. The Fokker Planck equation for such a stochastic differential equations is a nonlocal partial differential equations. We prove the existence and uniqueness of the weak solution for this equation.
arxiv
Accurate projection methods for the incompressible Navier—Stokes equations
, 2001 This paper considers the accuracy of projection method approximations to the initial–boundary-value problem for the incompressible Navier–Stokes equations.
David L. Brown, R. Cortez, M. Minion
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The Asymptotic Stability of the Generalized 3D Navier-Stokes Equations
Journal of Applied Mathematics, 2013 We study the stability issue of the generalized 3D Navier-Stokes equations. It is shown that if the weak solution u of the Navier-Stokes equations lies in the regular class ∇u∈Lp(0,∞;Bq,∞0(ℝ3)), (2α/p)+(3/q)=2α ...
Wen-Juan Wang, Yan Jia
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About the new version of maximum principle of Navier-Stokes equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2015 The below shows the links of the extreme values of the velocity vector, the kinetic energy density and pressure of nonlinear Navier-Stokes equations.
A.Sh. Akysh
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Memoir on Integration of Ordinary Differential [1.2ex] Equations by Quadrature [PDF]
arXiv, 2011 The Riccati equations reducible to first-order linear equations by an appropriate change the dependent variable are singled out. All these equations are integrable by quadrature. A wide class of linear ordinary differential equations reducible to algebraic equations is found. It depends on two arbitrary functions.
arxiv
Transformations between nonlocal and local integrable equations [PDF]
arXiv, 2017 Recently, a number of nonlocal integrable equations, such as the PT-symmetric nonlinear Schrodinger (NLS) equation and PT-symmetric Davey-Stewartson equations, were proposed and studied. Here we show that many of such nonlocal integrable equations can be converted to local integrable equations through simple variable transformations.
arxiv
Predicting airfoil stalling dynamics using upwind numerical solutions to non-viscous equations
Results in Engineering, 2023 Over the last few decades, researchers have been focusing on determining the critical attack angle at which dynamic stall occurs. This angle is usually determined by solving the Navier-Stokes equations, which include viscosity, pressure, gravity, and ...
Tohid Adibi +5 more
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Linear differential equations to solve nonlinear mechanical problems: A novel approach [PDF]
arXiv, 2004 Often a non-linear mechanical problem is formulated as a non-linear differential equation. A new method is introduced to find out new solutions of non-linear differential equations if one of the solutions of a given non-linear differential equation is known. Using the known solution of the non-linear differential equation, linear differential equations
arxiv