Results 31 to 40 of about 38,753 (164)

Magnetohydrodynamic stagnation point on a Casson nanofluid flow over a radially stretching sheet

Beilstein Journal of Nanotechnology, 2020
This article proposes a numerical model to investigate the impact of the radiation effects in the presence of heat generation/absorption and magnetic field on the magnetohydrodynamics (MHD) stagnation point flow over a radially stretching sheet using a ...
Ganji Narender, Kamatam Govardhan, Gobburu Sreedhar Sarma   +2 more
doaj   +1 more source

Variational iteration method along with intelligent computing system for the radiated flow of electrically conductive viscous fluid through porous medium

Heliyon, 2023
This article aims to investigate the analytical nature and approximate solution of the radiated flow of electrically conductive viscous fluid into a porous medium with slip effects (RFECVF).
Muhammad Shoaib, Farooq Ahmed Shah, Kottakkaran Sooppy Nisar, Muhammad Asif Zahoor Raja, Ehsan ul Haq, Aqsa Zafar Abbasi, Qazi Mahmood Ul Hassan, Nuha Al-Harbi, Abdel-Haleem Abdel-Aty   +8 more
doaj   +1 more source

Accurately model the Kuramoto--Sivashinsky dynamics with holistic discretisation [PDF]

, 2005
We analyse the nonlinear Kuramoto--Sivashinsky equation to develop accurate discretisations modeling its dynamics on coarse grids. The analysis is based upon centre manifold theory so we are assured that the discretisation accurately models the dynamics ...
A. J. Roberts, Roberts A., Roberts A., T. MacKenzie   +3 more
core   +2 more sources

On a theorem of Cauchy-Kovalevskaya type for a class of nonlinear PDE's of higher order with deviating arguments [PDF]

Annales Polonici Mathematici, 1999
Summary: We prove an existence theorem of Cauchy-Kovalevskaya type for the equation \[ D_tu(t,z) =f\biggl(t,z, u\bigl(\alpha^{(0)} (t,z) \bigr), \;D_z u\bigl(\alpha^{(1)} (t,z)\bigr), \dots,D^k_z u\bigl(\alpha^{(k)} (t,z)\bigr) \biggr) \] where \(f\) is a polynomial with respect to the last \(k\) variables.
openaire   +2 more sources

Dispersionless integrable systems in 3D and Einstein-Weyl geometry [PDF]

, 2013
For several classes of second order dispersionless PDEs, we show that the symbols of their formal linearizations define conformal structures which must be Einstein-Weyl in 3D (or self-dual in 4D) if and only if the PDE is integrable by the method of ...
Ferapontov, Eugene, Kruglikov, Boris
core   +2 more sources

MHD nanofluid flow over an absorbent plate in the company of chemical response and zero nanoparticle flux

Forces in Mechanics, 2022
The aspire of this article is to examine the combined influences of suction/injection and external magnetic field on forced convection motion of nanoliquid past an absorbent plate in attendance with the first order compound response.
Sudip Dey, Swati Mukhopadhyay
doaj   +1 more source

Partially integrable systems in multidimensions by a variant of the dressing method. 1

, 2006
In this paper we construct nonlinear partial differential equations in more than 3 independent variables, possessing a manifold of analytic solutions with high, but not full, dimensionality. For this reason we call them ``partially integrable''.
A I Zenchuk, Ablowitz M J, Ablowitz M J, Beals R Coifman R R, Bogdanov L V, Calogero F, Drinfeld V G, Konopelchenko B, Manakov S V Santini P M, P M Santini, Zakharov V E, Zakharov V E, Zakharov V E, Zakharov V E, Zakharov V E, Zakharov V E, Zenchuk A   +16 more
core   +1 more source

Some symmetry classifications of hyperbolic vector evolution equations

, 2005
Motivated by recent work on integrable flows of curves and 1+1 dimensional sigma models, several O(N)-invariant classes of hyperbolic equations $u_{tx} =f(u,u_t,u_x)$ for an $N$-component vector $u(t,x)$ are considered.
Habibullin I T, Sanders J A, Sharpe R W, Sokolov V V   +3 more
core   +3 more sources

Solution of the Stochastic Heat Equation with Nonlinear Losses Using Wiener-Hermite Expansion

Journal of Applied Mathematics, 2014
In the current work, the Wiener-Hermite expansion (WHE) is used to solve the stochastic heat equation with nonlinear losses. WHE is used to deduce the equivalent deterministic system up to third order accuracy.
Mohamed A. El-Beltagy, Noha A. Al-Mulla
doaj   +1 more source

Comment on ‘Conservation laws of higher order nonlinear PDEs and the variational conservation laws in the class with mixed derivatives’ [PDF]

Journal of Physics A: Mathematical and Theoretical, 2010
In a recent paper (R Narain and A H Kara 2010 J. Phys. A: Math. Theor. 43 085205), the authors claim to be applying Noether's theorem to higher-order partial differential equations and state that in a large class of examples 'the resultant conserved flows display some previously unknown interesting 'divergence properties' owing to the presence of the ...
openaire   +1 more source