Tensor approximation of functional differential equations

A Rodgers, D Venturi - Physical Review E, 2024 - APS
Functional differential equations (FDEs) play a fundamental role in many areas of
mathematical physics, including fluid dynamics (Hopf characteristic functional equation) …

Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation laws

F He, L Li - Open Physics, 2019 - degruyter.com
In the paper, we research a time fractional modified KdV-type equations. We give the
symmetry reductions and exact solutions of the equations, and we investigate the …

Solutions to Problems

W Kollmann - Navier-Stokes Turbulence: Theory and Analysis, 2024 - Springer
Solutions to Problems | SpringerLink Skip to main content Advertisement SpringerLink Account
Menu Find a journal Publish with us Track your research Search Cart 1.Home 2.Navier-Stokes …

Comments on Janocha et al. Lie Symmetry Analysis of the Hopf Functional-Differential Equation. Symmetry 2015, 7, 1536–1566

M Frewer, G Khujadze - Symmetry, 2016 - mdpi.com
The recent systematic study by Janocha et al. to determine all possible Lie-point symmetries
for the functional Hopf–Burgers equation is re-examined. From a more consistent theoretical …

[PDF][PDF] An example of how a methodological mistake aggravates erroneous results when only correcting the results and not the method itself

M Frewer, G Khujadze - 2016 - academia.edu
Despite correcting their symmetry analysis in Janocha et al.(2015) according to some of our
comments put forward in Symmetry8, 23 (2016), their revised method presented in …

The Hopf fde for the Spatial Characteristic Functional: Cartesian Case

W Kollmann - Navier-Stokes Turbulence: Theory and Analysis, 2024 - Springer
Variational derivatives according to the definitions of Gateaux and Fréchet are applied to
derive the Hopf fde governing the evolution of the characteristic functional for turbulent flows …

[PDF][PDF] LIE SYMMETRY ANALYSIS OF FRACTIONALDIFFERENTIAL EQUATIONS

K ALI, S AHMAD, I KHAN - academia.edu
LIE SYMMETRY ANALYSIS OF FRACTIONALDIFFERENTIAL EQUATIONS KASHIF ALI,
SHABIR AHMAD, ISHAQ KHAN (BS) SESSION 2019-2023 Page 1 i LIE SYMMETRY ANALYSIS …

Symmetry analysis and invariant solutions of the multipoint infinite systems describing turbulence

M Wacławczyk, M Oberlack - Journal of Physics: Conference …, 2016 - iopscience.iop.org
The present work concerns multipoint description of turbulence in terms of the probability
density functions (pdf's) and the characteristic Hopf functional. Lie symmetries of infinite …

Evolution of Plane Curves via Lie Symmetry Analysis in the Galilean Plane

ZK Yüzbaşı, EC Aslan, D Baleanu, M Inc - Numerical Solutions of Realistic …, 2020 - Springer
In this paper, we aim to get the general formulation of evolving generalized plane curves for
motion by an inelastic and an elastic flow in the Galilean plane. We get the linear and …

Appendix F: Solutions to Problems

W Kollmann, W Kollmann - Navier-Stokes Turbulence: Theory and …, 2019 - Springer
Appendix F: Solutions to Problems | SpringerLink Skip to main content Advertisement
SpringerLink Account Menu Find a journal Publish with us Track your research Search Cart …