Results 21 to 30 of about 2,797,632 (233)

PDE comparison principles for Robin problems [PDF]

open access: yesCanadian Journal of Mathematics, 2021
AbstractWe compare the solutions of two Poisson problems in a spherical shell with Robin boundary conditions, one with given data, and one where the data have been cap symmetrized. When the Robin parameters are nonnegative, we show that the solution to the symmetrized problem has larger convex means. Sending one of the Robin parameters to $+\infty $ ,
openaire   +4 more sources

Genetic algorithm search for stent design improvements [PDF]

open access: yes, 2002
Copyright @ 2002 SpringerThis paper presents an optimisation process for finding improved stent design using Genetic Algorithms. An optimisation criterion based on dissipated power is used which fits with the accepted principle that arterial flows follow
Atherton, MA, Collins, MW, Tesch, K
core   +2 more sources

Existence and uniqueness for a crystalline mean curvature flow [PDF]

open access: yes, 2016
An existence and uniqueness result, up to fattening, for a class of crystalline mean curvature flows with natural mobility is proved. The results are valid in any dimension and for arbitrary, possibly unbounded, initial closed sets.
Almeida   +45 more
core   +3 more sources

Asymptotic behavior for cross coupled parabolic equations

open access: yesJournal of Hebei University of Science and Technology, 2017
In order to better describe the heat transfer process of three kinds of mixed substances, namely the reaction of the reactants in the three chemical reactions, a class of three variable cross coupling with non parabolic equations of the whole existence ...
Yingzhen XUE
doaj   +1 more source

Some results about semilinear elliptic problems on half-spaces

open access: yesMathematics in Engineering, 2020
We prove some new results about the growth, the monotonicity and the symmetry of (possibly) unbounded non-negative solutions of −∆u = f (u) on half-spaces, where f is merely a locally Lipschitz continuous function.
Alberto Farina
doaj   +1 more source

On necessary conditions for the Comparison Principle and the Sub and Supersolutions Method for the stationary Kirchhoff Equation

open access: yes, 2017
In this paper we propose a counterexample to the validity of the Comparison Principle and of the Sub and Supersolution Method for nonlocal problems like the stationary Kirchhoff Equation.
Iturriaga, Leonelo, Massa, Eugenio
core   +1 more source

Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
We investigate the behaviour of weak solutions of boundary value problems for quasi-linear elliptic divergence second order equations in unbounded domains. We show the boundedness of weak solutions to our problem.
Wiśniewski Damian
doaj   +1 more source

A Liouville comparison principle for solutions of semilinear parabolic inequalities in the whole space

open access: yesAdvances in Nonlinear Analysis, 2014
We obtain a new Liouville comparison principle for weak solutions (u,v) of semilinear parabolic second-order partial differential inequalities of the form ut-ℒu-|u|q-1u≥vt-ℒv-|v|q-1v(*)$u_t -{\mathcal {L}}u- |u|^{q-1}u\ge v_t -{\mathcal {L}}v- |v|^{q-1}v\
Kurta Vasilii V.
doaj   +1 more source

The 'ideal square' of logographic scripts and the structural similarities of Khitan script and han'gul [PDF]

open access: yes, 2002
A comparison of the Khitan Small Script and Korean han'gŭl shows a striking structural similarity of two essentially phonetic scripts that combine 'letters' into large blocks.
Tranter, Nicolas
core  

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