Picone's identity and the moving plane procedure.
Picone’s identity for a Finsler -Laplacian and comparison of nonlinear elliptic equations
In the paper we present an identity of the Picone type for a class of nonlinear differential operators of the second order involving an arbitrary norm in which is continuously differentiable for and such that is strictly convex for some . Two important special cases are the -Laplacian and the so-called pseudo -Laplacian. The identity is then used to establish a variety of comparison results concerning nonlinear degenerate elliptic equations which involve such operators. We also get criteria...
Picone-type inequalities for nonlinear elliptic equations and their applications.
Picone-type inequalities for nonlinear elliptic equations with first-order terms and their applications.
Piecewise bilinear preconditioning of high-order finite element method.
Piecewise linear wavelet collocation, approximation of the boundary manifold, and quadrature.
Planar binary trees and perturbative calculus of observables in classical field theory
Planar flows of incompressible heat-conducting shear-thinning fluids — existence analysis
We study the flow of an incompressible homogeneous fluid whose material coefficients depend on the temperature and the shear-rate. For large class of models we establish the existence of a suitable weak solution for two-dimensional flows of fluid in a bounded domain. The proof relies on the reconstruction of the globally integrable pressure, available due to considered Navier’s slip boundary conditions, and on the so-called -truncation method, used to obtain the strong convergence of the velocity...
Plane wave decompositions of monogenic functions
Plane wave discontinuous Galerkin methods: Analysis of the h-version
We are concerned with a finite element approximation for time-harmonic wave propagation governed by the Helmholtz equation. The usually oscillatory behavior of solutions, along with numerical dispersion, render standard finite element methods grossly inefficient already in medium-frequency regimes. As an alternative, methods that incorporate information about the solution in the form of plane waves have been proposed. We focus on a class of Trefftz-type discontinuous Galerkin methods that ...
Plane wave stability of some conservative schemes for the cubic Schrödinger equation
The plane wave stability properties of the conservative schemes of Besse [SIAM J. Numer. Anal.42 (2004) 934–952] and Fei et al. [Appl. Math. Comput.71 (1995) 165–177] for the cubic Schrödinger equation are analysed. Although the two methods possess many of the same conservation properties, we show that their stability behaviour is very different. An energy preserving generalisation of the Fei method with improved stability is presented.
Plane waves in thermoelasticity with one relaxation time.
Plateau's Problem for Surfaces of Prescribed Mean Curvature in Given Regions.
Plongement isométrique de la sphère à courbure non négative dans
Plongements radiaux à courbure de Gauss positive prescrite
Pluriregular, plurigeneralized regular equations in Clifford analysis.
Poche de tourbillon pour Euler 2D incompressible dans un ouvert à bord
Nous considérons l'équation d'Euler pour un fluide incompressible dans un domaine borné régulier du plan. Pour une donnée initiale avec un tourbillon de type poche, i.e valant 1 sur un ouvert lisse à bord höldérien et 0 en dehors, nous prouvons l'existence d'une solution de même type, pour tout temps si la poche initiale est décollée du bord du domaine et seulement localement en temps si la poche initiale est tangente au bord. Nous contrôlons l'influence du bord grâce à la théorie des problèmes...
Poches de tourbillon à bord singulier
Poches de tourbillon et structure géométrique dans les fluides incompressibles bidimensionnels
Poches de tourbillon singulières dans un fluide faiblement visqueux.
In this paper, we study the singular vortex patches in the two-dimensional incompressible Navier-Stokes equations. We show, in particular, that if the initial vortex patch is C1+s outside a singular set Σ, so the velocity is, for all time, lipschitzian outside the image of Σ through the viscous flow. In addition, the correponding lipschitzian norm is independent of the viscosity. This allows us to prove some results related to the inviscid limit for the geometric structures of the vortex patch.