Results 81 to 90 of about 433,079 (233)

An approximate analytical solution of the time-fractional Navier–Stokes equations by the generalized Laplace residual power series method

Partial Differential Equations in Applied Mathematics
The dynamics of viscous fluids may be elucidated via the Navier–Stokes equations, which create a fundamental relationship between the exertion of external forces upon fluid motion and the resultant fluid pressure.
P. Dunnimit, W. Sawangtong, P. Sawangtong   +2 more
doaj  

Dynamic Weight Strategy of Physics-Informed Neural Networks for the 2D Navier-Stokes Equations. [PDF]

Entropy (Basel), 2022
Li S, Feng X.
europepmc   +1 more source

Differential Equations Compatible with KZ Equations [PDF]

arXiv, 2000
We define a system of "dynamical" differential equations compatible with the KZ differential equations. The KZ differential equations are associated to a complex simple Lie algebra $\mathbf{g}$. These are equations on a function of $n$ complex variables $z_i$ taking values in the tensor product of $n$ finite dimensional $\mathbf{g}$-modules.
arxiv  

NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations [PDF]

Journal of Computational Physics, 2020
Xiaowei Jin, Shengze Cai, Hui Li, G. Karniadakis   +3 more
semanticscholar   +1 more source

Spontaneous symmetry breaking for extreme vorticity and strain in the three-dimensional Navier-Stokes equations. [PDF]

Philos Trans A Math Phys Eng Sci, 2022
Schorlepp T, Grafke T, May S, Grauer R.
europepmc   +1 more source

Direct integral method, complete discrimination system for polynomial and applications to classifications of all single traveling wave solutions to nonlinear differential equations:a survey [PDF]

arXiv, 2006
Complete discrimination system for polynomial and direct integral method were discussed systematically. In particularly, we pointed out some mistaken viewpoints. Combining with complete discrimination system for polynomial, direct integral method was developed to become a powerful method and was applied to a lot of nonlinear mathematical physics ...
arxiv  

Finite Element Iterative Methods for the 3D Steady Navier--Stokes Equations. [PDF]

Entropy (Basel), 2021
He Y.
europepmc   +1 more source

Symmetries of quantum Lax equations for the Painlevé equations [PDF]

arXiv, 2012
The Painlev\'e equations can be written as Hamiltonian systems with affine Weyl group symmetries. A canonical quantization of the Painlev\'e equations preserving the affine Weyl group symmetries has been studied. While, the Painlev\'e equations are isomonodromic equations for certain second-order linear differential equations.
arxiv  

Analytical solution with tanh-method and fractional sub-equation method for non-linear partial differential equations and corresponding fractional differential equation composed with Jumarie fractional derivative [PDF]

arXiv, 2015
The solution of non-linear differential equation, non-linear partial differential equation and non-linear fractional differential equation is current research in Applied Science. Here tanh-method and Fractional Sub-Equation methods are used to solve three non-linear differential equations and the corresponding fractional differential equation.
arxiv  

Stokes-Navier Equations and the Fundamental Equations of Flow Noise [PDF]

, 1961
Eugen Skudrzyk, G. P. Haddle
openalex   +1 more source