Results 31 to 40 of about 433,079 (233)
Hypergeometric solutions to Schrödinger equations for the quantum Painlevé equations [PDF]
, 2011 We consider Schr\"odinger equations for the quantum Painlev\'e equations. We present hypergeometric solutions of the Schr\"odinger equations for the quantum Painlev\'e equations, as particular solutions. We also give a representation theoretic correspondence between Hamiltonians of the Schr\"odinger equations for the quantum Painlev\'e equations and ...
arxiv +1 more source
On the accuracy of difference scheme for Navier-Stokes equations
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 The article presents a study of difference schemes in time, which accuracy can be arbitrarily high. We present difference schemes in time for solving the Navier-Stokes equations, where series expansions are used to find the singularities of solutions of ...
Nikolay I Sidnyaev, Nadezhda M Gordeeva
doaj +1 more source
A study on the bilinear equation of the sixth Painlevé transcendents [PDF]
arXiv, 2023 The sixth Painlev\'e equation is a basic equation among the non-linear differential equations with three fixed singularities, corresponding to Gauss's hypergeometric differential equation among the linear differential equations. It is known that 2nd order Fuchsian differential equations with three singular points are reduced to the hypergeometric ...
arxiv
Analysis of a mathematical model related to Czochralski crystal growth
Abstract and Applied Analysis, 1998 This paper is devoted to the study of a stationary problem consisting of the Boussinesq approximation of the Navier–Stokes equations and two convection–diffusion equations for the temperature and concentration, respectively.
Petr Knobloch, Lutz Tobiska
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Global regularity to the Navier-Stokes equations for a class of large initial data
Mathematical Modelling and Analysis, 2018 In [5], Chemin, Gallagher and Paicu proved the global regularity of solutions to the classical Navier-Stokes equations with a class of large initial data on T2 × R.
Bin Han, Yukang Chen
doaj +1 more source
Well-posedness for the Navier–Stokes Equations
, 2001 where u is the velocity and p is the pressure. It is well known that the NavierStokes equations are locally well-posed for smooth enough initial data as long as one imposes appropriate boundary conditions on the pressure at ∞.
H. Koch, D. Tataru
semanticscholar +1 more source
Asymptotic Stability of Global Solutions to Non-isentropic Navier–Stokes Equations
Journal of Mathematics, 2023 This paper studies the asymptotic stability of global solutions of the three-dimensional nonisentropic compressible Navier–Stokes equations, where the initial data satisfy the “well-prepared” initial conditions, and the velocity field and temperature ...
Qingliu Li, Dandan Ren, Xinfeng Liang
doaj +1 more source
The BR1 Scheme is Stable for the Compressible Navier–Stokes Equations [PDF]
Journal of Scientific Computing, 2017 In this work we prove that the original (Bassi and Rebay in J Comput Phys 131:267–279, 1997) scheme (BR1) for the discretization of second order viscous terms within the discontinuous Galerkin collocation spectral element method (DGSEM) with Gauss ...
G. Gassner +3 more
semanticscholar +1 more source
Navier-Stokes equations in the half-space in variable exponent spaces of Clifford-valued functions
Electronic Journal of Differential Equations, 2017 In this article, we study the steady generalized Navier-Stokes equations in a half-space in the setting of variable exponent spaces. We first establish variable exponent spaces of Clifford-valued functions in a half-space.
Rui Niu, Hongtao Zheng, Binlin Zhang
doaj
Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing [PDF]
, 2004 The stochastic 2D Navier-Stokes equations on the torus driven by degenerate noise are studied. We characterize the smallest closed invariant subspace for this model and show that the dynamics restricted to that subspace is ergodic.
Martin Hairer, Jonathan C. Mattingly
semanticscholar +1 more source