Browsing by Subject "Diffusion"
Now showing items 120 of 31

Article
Classification of potential symmetries of generalised inhomogeneous nonlinear diffusion equations
(2003)We consider the class of generalised nonlinear diffusion equations f(x)ut = [g(x)unux]x which are of considerable interest in mathematical physics. We classify the nonlocal symmetries, which are known as potential symmetries, ...

Article
Convergence analysis of an hp finite element method for singularly perturbed transmission problems in smooth domains
(2013)We consider a twodimensional singularly perturbed transmission problem with two different diffusion coefficients, in a domain with smooth (analytic) boundary. The solution will contain boundary layers only in the part of ...

Article
Differential invariants of the onedimensional quasilinear secondorder evolution equation
(2007)We consider evolution equations of the form ut = f(x, u, ux)uxx + g(x, u, ux) and ut = uxx + g(x, u, ux). In the spirit of the recent work of Ibragimov [Ibragimov NH. Laplace type invariants for parabolic equations. Nonlinear ...

Article
Discrete multiphysics simulations of diffusive and convective mass transfer in boundary layers containing motile cilia in lungs
(2018)In this paper, the mass transfer coefficient (permeability) of boundary layers containing motile cilia is investigated by means of discrete multiphysics. The idea is to understand the main mechanisms of mass transport ...

Article
Femtosecond carrier dynamics in implanted and highly annealed polycrystalline silicon
(2006)We have studied the ultrafast optical response of highly implanted and highly annealed polycrystalline silicon films using 400 nm ultrashort amplified pulses with fluence ranging between 8 mJ cm2 to 56 mJ cm 2. Transient ...

Article
Finite element approximation of convection–diffusion problems using an exponentially graded mesh
(2016)We present the analysis of an h version Finite Element Method for the approximation of the solution to convection–diffusion problems. The method uses piecewise polynomials of degree p≥1, defined on an exponentially graded ...

Article
Further transformation properties of generalised inhomogeneous nonlinear diffusion equations with variable coefficients
(2005)We consider the variable coefficient inhomogeneous nonlinear diffusion equations of the form xput = [xqu nux]x. We present further transformation properties for this nonlinear class of equations that do not appear in the ...

Article
Group classification of systems of diffusion equations
(2017)Group classification of a class of systems of diffusion equations is carried out. Arbitrary elements that appear in the system depend on two variables. All forms of the arbitrary elements that provide additional Lie ...

Article
Insitu measurement of liquid phase moisture in cement mortar
(2012)A sensing method is developed and used for measurement of liquid phase moisture transport through cement mortar. Nearinfrared electromagnetic energy launched through optical fibers is used to analyze the internal environment ...

Article
Investigation of Microbubble Response to Long Pulses Used in UltrasoundEnhanced Drug Delivery
(2012)Abstract: In current drug delivery approaches, microbubbles and drugs can be coadministered while ultrasound is applied. The mechanism of microbubble interaction with ultrasound, the drug and the cells is not fully ...

Article
Linearisation and potential symmetries of certain systems of diffusion equations
(2006)We consider systems of two pure onedimensional diffusion equations that have considerable interest in Soil Science and Mathematical Biology. We construct nonlocal symmetries for these systems. These are determined by ...

Article
Mathematical modeling of herpes simplex virus distribution in solid tumors: Implications for cancer gene therapy
(2009)Purpose: Although oncolytic viral vectors show promise for the treatment of various cancers, ineffective initial distribution and propagation throughout the tumor mass often limit the therapeutic response. A mathematical ...

Article
On the group classification of variablecoefficient nonlinear diffusionconvection equations
(2006)We consider the variable coefficient diffusionconvection equation of the form f (x) ut = [g (x) D (u) ux]x + h (x) K (u) ux which has considerable interest in mathematical physics, biology and chemistry. We present a ...

Article
Optimal mesh design for the finite element approximation of reactiondiffusion problems
(2002)We consider the numerical approximation of singularly perturbed problems, and in particular reactiondiffusion problems, by the h version of the finite element method. We present guidelines on how to design nonuniform ...

Conference Object
Optimization of fully observable nonlinear stochastic uncertain controlled diffusion: Monotonicity properties and optimal sensitivity
(2004)This paper is concerned with fully observable nonlinear stochastically controlled diffusions, in which uncertainty is described by a relative entropy constraint between the nominal measure and the uncertain measure, while ...

Conference Object
Optimization of fully observable nonlinear stochastic uncertain controlled diffusion: Monotonicity properties and optimal sensitivity
(Affiliation: Sch. of Info. Technol. and Eng., University of Ottawa, 800 King Edward Ave., Ottawa, Ont. K1N 6N5, CanadaAffiliation: Sch. of Info. Technol. and Eng., University of Ottawa, 161 Louis Pasteur, A519, Ottawa, Ont. K1N 6N5, CanadaAffiliation: Electrical Engineering Department, University of Cyprus, 75 Kallipoleos Avenue, Nicosia, CyprusAffiliation: Mechanical Engineering Department, University of Cyprus, 75 Kallipoleos Avenue, Nicosia, CyprusCorrespondence Address: Rezaei, F.Sch. of Info. Technol. and Eng., University of Ottawa, 800 King Edward Ave., Ottawa, Ont. K1N 6N5, Canadaemail: frezaei@site.uottawa.ca, 2004)This paper is concerned with fully observable nonlinear stochastically controlled diffusions, in which uncertainty is described by a relative entropy constraint between the nominal measure and the uncertain measure, while ...

Conference Object
Optimization of fully observable nonlinear stochastic uncertain controlled diffusion: Monotonicity properties and optimal sensitivity
(Affiliation: Sch. of Info. Technol. and Eng., University of Ottawa, 800 King Edward Ave., Ottawa, Ont. K1N 6N5, CanadaAffiliation: Sch. of Info. Technol. and Eng., University of Ottawa, 161 Louis Pasteur, A519, Ottawa, Ont. K1N 6N5, CanadaAffiliation: Electrical Engineering Department, University of Cyprus, 75 Kallipoleos Avenue, Nicosia, CyprusAffiliation: Mechanical Engineering Department, University of Cyprus, 75 Kallipoleos Avenue, Nicosia, CyprusCorrespondence Address: Rezaei, F.Sch. of Info. Technol. and Eng., University of Ottawa, 800 King Edward Ave., Ottawa, Ont. K1N 6N5, Canadaemail: frezaei@site.uottawa.ca, 2004)This paper is concerned with fully observable nonlinear stochastically controlled diffusions, in which uncertainty is described by a relative entropy constraint between the nominal measure and the uncertain measure, while ...

Article
Piecewise linear emulation of propagating fronts as a method for determining their speeds
(2003)The selected speed of pushed fronts was found through analytic calculations. The resulting analytic solution constitutes an excellent approximation to the exact propagating front, yielding also the correct value for the ...

Article
Preparation and characterization of nanoporous ceria containing heteroatoms, with and without a matrix
(2005)We have been interested in the synthesis and study of porous ceria, because of its importance in several catalytic applications, and notably in automobile exhaust catalysts. The mesoporosity of these solids is susceptible ...

Article
Probing carrier dynamics in implanted and annealed polycrystalline silicon thin films using white light
(2006)Polycrystalline silicon thin film samples implanted and annealed at various temperatures have been studied using ultrafast laser pulse excitation. Nondegenerate pumpprobe technique has been utilized to investigate carrier ...