Application of the approximate analytic prolongment to the boundary problems of the partial differential equations
Application of the averaging method for the solution of boundary problems for ordinary differential and integro-differential equations
Application of the Cole-Hopf transformation for finding exact solutions to several forms of the seventh-order KdV equation.
Application of the -expansion method for the Burgers, Fisher and Burgers–Fisher equations.
Application of the Ritz method to the solution of parabolic boundary value problems of arbitrary order in the space variables
Application of variational iteration method to fractional hyperbolic partial differential equations.
Application of very weak formulation on homogenization of boundary value problems in porous media
The goal of this paper is to present a different approach to the homogenization of the Dirichlet boundary value problem in porous medium. Unlike the standard energy method or the method of two-scale convergence, this approach is not based on the weak formulation of the problem but on the very weak formulation. To illustrate the method and its advantages we treat the stationary, incompressible Navier-Stokes system with the non-homogeneous Dirichlet boundary condition in periodic porous medium. The...
Applications bilinéaires compatibles avec un opérateur hyperbolique
Applications de la méthode de Lavine au problème à trois corps
Applications Harmoniques de Variétés Produits.
Applications harmoniques stables
Applications of a max-min principle
Applications of a weighted symmetrization inequality to elastic membranes and plates.
Applications of abstract parabolic quasi-variational inequalities to obstacle problems
In this paper we study a class of abstract quasi-variational inequalities with nonlocal constraints depending on the unknown and establish an existence result. Further we give its applications to parabolic systems of partial differential inequalities with nonlocal obstacles depending on the unknowns.
Applications of an extended -expansion method to find exact solutions of nonlinear PDEs in mathematical physics.
Applications of approximate gradient schemes for nonlinear parabolic equations
We develop gradient schemes for the approximation of the Perona-Malik equations and nonlinear tensor-diffusion equations. We prove the convergence of these methods to the weak solutions of the corresponding nonlinear PDEs. A particular gradient scheme on rectangular meshes is then studied numerically with respect to experimental order of convergence which shows its second order accuracy. We present also numerical experiments related to image filtering by time-delayed Perona-Malik and tensor diffusion...
Applications of Fourier integral operators
Applications of geometric measure theory to the study of Gauss- Weierstrass and Poisson integrals.
Applications of Lie Group Analysis to Mathematical Modelling in Natural Sciences
Today engineering and science researchers routinely confront problems in mathematical modeling involving solutions techniques for differential equations. Sometimes these solutions can be obtained analytically by numerous traditional ad hoc methods appropriate for integrating particular types of equations. More often, however, the solutions cannot be obtained by these methods, in spite of the fact that, e.g. over 400 types of integrable second-order ordinary differential equations were summarized...
Applications of nonlinear diffusion in image processing and computer vision.