Results 21 to 30 of about 2,222 (257)
Energies, 2022 Theoretical influence of the buoyancy and thermal radiation effects on the MHD (magnetohydrodynamics) flow across a stretchable porous sheet were analyzed in the present study.
Hari Mohan Srivastava +5 more
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Fundamental solutions for a class of hypoelliptic PDE generated by composition of quadratic forms [PDF]
Transactions of the American Mathematical Society, 1980 We introduce a class of nilpotent Lie groups which arise naturally from the notion of composition of quadratic forms, and show that their standard sublaplacians admit fundamental solutions analogous to that known for the Heisenberg group.
openaire +1 more source
Lie group symmetries as integral transforms of fundamental solutions [PDF]
, 2006 We obtain fundamental solutions for PDEs of the form ut = σ xγ ux x + f (x) ux - μ xr u by showing that if the symmetry group of the PDE is nontrivial, it contains a standard integral transform of the fundamental solution.
Mark Craddock +5 more
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On a Modified Form of Navier-Stokes Equations for Three-Dimensional Flows
The Scientific World Journal, 2015 A rephrased form of Navier-Stokes equations is performed for incompressible, three-dimensional, unsteady flows according to Eulerian formalism for the fluid motion. In particular, we propose a geometrical method for the elimination of the nonlinear terms
J. Venetis
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Deterministic approaches for head lice infestations and treatments
Infectious Disease Modelling, 2020 Pediculus humanus capitis are human ectoparasites which cause infestations, mostly in children, worldwide. Understanding the life cycle of head lice is an important step in knowing how to treat lice infestations, as the parasite behavior depends ...
Noemi Castelletti +1 more
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On construction of symmetries and recursion operators from zero-curvature representations and the Darboux-Egoroff system [PDF]
, 2014 The Darboux–Egoroff system of PDEs with any number n ≥ 3 of independent variables plays an essential role in the problems of describing n-dimensional flat diagonal metrics of Egoroff type and Frobenius manifolds. We construct a recursion operator and its
Sub Algebra,Geometry&Mathem. Logic begr. +3 more
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Coupling techniques of Trefftz methods
Computer Assisted Methods in Engineering and Science, 2022 The Trefftz method pioneered by Trefftz [71] in 1926 is described as follows: The particular solutions or the fundamental solutions are chosen, a linear combination of those functions is regarded as an approximate solution of partial differential ...
Hung-Tsai Huang +2 more
doaj
A new transform method I: domain-dependent fundamental solutions and integral representations [PDF]
, 2010 A new method for solving boundary-value problems (BVPs) for linear and certain nonlinear PDEs was introduced by one of the authors in the late 1990s. For linear PDEs, this method constructs novel integral representations (IRs) that are formulated in the ...
Fokas, A S, Spence, Euan A
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Lie symmetry methods for multi-dimensional parabolic PDEs and diffusions [PDF]
, 2012 In this paper we introduce new methods based upon integrating Lie symmetries for the construction of explicit fundamental solutions of multi-dimensional second order parabolic PDEs. We present applications to the problem of finding transition probability
Mark Craddock +5 more
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Approximate symmetries of the perturbed KdV-KS equation [PDF]
Iranian Journal of Numerical Analysis and OptimizationThe analysis of approximate symmetries in perturbed nonlinear partial differential equations $(PDEs)$ stands as a cornerstone for unraveling complex physical behaviors and solution patterns.
A. Mohammadpouri +3 more
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