Results 61 to 70 of about 38,753 (164)

Chemically reactive and naturally convective high speed MHD fluid flow through an oscillatory vertical porous plate with heat and radiation absorption effect

Engineering Science and Technology, an International Journal, 2018
This paper concerns with the modelling of an unsteady natural convective and higher order chemically reactive magnetohydrodynamics (MHD) fluid flow with the effect of heat and radiation absorption.
S.M. Arifuzzaman, M.S. Khan, M.F.U. Mehedi, B.M.J. Rana, S.F. Ahmmed   +4 more
doaj   +1 more source

Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling

npj Quantum Information
The solution of large systems of nonlinear differential equations is essential for many applications in science and engineering. We present three improvements to existing quantum algorithms based on the Carleman linearisation technique.
Pedro C. S. Costa, Philipp Schleich, Mauro E. S. Morales, Dominic W. Berry   +3 more
doaj   +1 more source

The Painlev\'e methods

, 2002
This short review is an introduction to a great variety of methods, the collection of which is called the Painlev\'e analysis, intended at producing all kinds of exact (as opposed to perturbative) results on nonlinear equations, whether ordinary, partial,
Conte, Robert, Musette, Micheline
core   +1 more source

Formation of shocks in higher-order nonlinear dispersion PDEs: nonuniqueness and nonexistence of entropy

, 2009
19 pages, 8 ...
openaire   +2 more sources

Backward error analysis for multisymplectic discretizations of Hamiltonian PDEs

, 2004
Several recently developed multisymplectic schemes for Hamiltonian PDEs have been shown to preserve associated local conservation laws and constraints very well in long time numerical simulations.
Islas, Alvaro L., Schober, Constance M.
core   +1 more source

Nonlinear elliptic equations with high order singularities [PDF]

, 2016
We study non-variational degenerate elliptic equations with high order singular structures. No boundary data are imposed and singularities occur along an {\it a priori} unknown interior region. We prove that positive solutions have a universal modulus of
Teixeira, Eduardo V.
core  

Analyzing heat and mass transport phenomena using the Casson-nanofluid model in the context of Vacuum Pump Oil (VPO) and Cattaneo-Christov heat flux applications

Case Studies in Thermal Engineering
The researchers have shown significant interest in nanofluids due to their superior heat rate transport and enhanced thermal efficiency when compared to general fluids.
Muhammad Ramzan, Poom Kumam, Wiboonsak Watthayu   +2 more
doaj   +1 more source

Very Singular Similarity Solutions and Hermitian Spectral Theory for Semilinear Odd-Order PDEs [PDF]

, 2009
Very singular self-similar solutions of semilinear odd-order PDEs are studied on the basis of a Hermitian-type spectral theory for linear rescaled odd-order operators.Comment: 49 pages, 12 ...
B Dy, R. S. Fernandes, V. A. Galaktionov
core  

Modelling fourth-order hyperelasticity in soft solids using physics informed neural networks without labelled data

Brain Research Bulletin
Mild traumatic brain injury can result from shear shock wave formation in the brain in the event of a head impact like in contact sports, road traffic accidents, etc.
Vikrant Pratap, Pratyush Kumar, Chethana Rao, Michael D. Gilchrist, Bharat B. Tripathi   +4 more
doaj   +1 more source

The Structure of Lie Algebras and the Classification Problem for Partial Differential Equations

, 2000
The present paper solves completely the problem of the group classification of nonlinear heat-conductivity equations of the form\ $u_{t}=F(t,x,u,u_{x})u_{xx} + G(t,x,u,u_{x})$.
Basarab-Horwath, P., Lahno, V., Zhdanov, R.   +2 more
core   +1 more source