We have derived the Navier-Stokes equation, both for the case of compressible and for incompressible fluids. Of particular interest is the Navier-Stokes equation for incompressible Newtonian fluids, which is the
For some relations between the small parameters, the Enskog equation results in the Navier-Stokes equation for incompressible fluids completed by the Boussinesq relation and the temperature fluctuations equation. The global existence of classical solutions of the Enskog equation and convergence towards the...
incompressible Navier-Stokes equation [计]不可压缩纳维尔-斯多克斯方程 incompressible 英 [ˌɪnkəm'presəbl] 美 [ˌɪnkəm'presəbəl]adj.不能压缩的 派生词：incompressibility equation 英 [ɪˈkweɪʒn] 美 [&#...
我们通常把这个方程叫做quasilinear hyperbolic perturbation of Naiver-Stokes equations,翻译过来叫做NS方程的拟线性双曲扰动。 因为Quasilinear的PDE是困难的,为了简化问题,有学者把γ∂t(u⋅∇u)项去掉,简化为semilinear hyperbolic perturbation of Naiver-Stokes equations,翻译过来是NS方程的半线性双曲扰动,也有...
Dive into the research topics of 'Weak solutions of the stationary Navier-Stokes equations for a viscous incompressible fluid past an obstacle'. Together they form a unique fingerprint. Energy Equality Keyphrases 100% Norm Topology Keyphrases 49% Generalized Energy Keyphrases 49% Shar...
不可压 avier Stokes 方程基于误差估算的 网格自适应解法 周春华 ( 南京航空航天大学空气动力学系 南京 210016) 摘要 : 首先导出了广义方程 P -G 有限元数值解的当地事后误差估算公式 ; 以非连续二阶鼓 包 (b ) 函数空间为速度 ~ 压强误差的近似空间 该估算基于求解当地单元上的广义问题...
On the Navier-Stokes initial value problem. I (No. 121). Department of Mathematics, Stanford University. ^Kato, T., 1984. Strong L p-solutions of the Navier-Stokes equation in R m, with applications to weak solutions. Mathematische Zeitschrift, 187, pp.471-480. ^Cannone, M., Meyer, ...
Finite time blowup for an averaged three-dimensional Navier-Stokes equation. J Amer Math Soc, 2016, 29: 601–674 2 Fujita H, Kato T. On the Navier-Stokes initial value problem, I. Arch Ration Mech Anal, 1964, 16: 269–315 3 Temam R. Navier-Stokes Equations: Theory and Numerical ...
3. Euler and Navier-Stokes Equations; Local Theory We shall now apply the abstract theory to the Euler and Navier-Stokes equations for incompressible fluids, which may be written simultaneously in the form w. 111, [21, [31, [41,[51) ...
Although many numerical schemes work well for the incompressible NS equation on two-dimensional planes, most of them are limited to the flat surfaces. Show abstract Least-Squares Virtual Element Method for Stokes Problems on Polygonal Meshes 2024, Journal of Scientific Computing View all citing ...