Anisotropic motion of a phase interface.
Anisotropic nonlinear diffusion with absorption: Existence and extinction.
Anisotropic parabolic equations with variable nonlinearity.
Anisotropic parabolic problems with slowly or rapidly growing terms
We consider an abstract parabolic problem in a framework of maximal monotone graphs, possibly multi-valued, with growth conditions formulated with the help of an x-dependent N-function. The main novelty of the paper consists in the lack of any growth restrictions on the N-function combined with its anisotropic character, namely we allow the dependence on all the directions of the gradient, not only on its absolute value. This leads to using the notion of modular convergence and studying in detail...
Anti-periodic solutions of some nonlinear evolution equations.
Anti-periodic solutions to a parabolic hemivariational inequality
In this paper we deal with the anti-periodic boundary value problems with nonlinearity of the form , where Extending to be multivalued we obtain the existence of solutions to hemivariational inequality and variational-hemivariational inequality.
Apparition de motifs géométriques dans une membrane enzymatique
Apparition éventuelle de singularités dans des problèmes d'évolution non linéaires
Application of a center manifold theory to a reaction-diffusion system of collective motion of camphor disks and boats
Unidirectional motion along an annular water channel can be observed in an experiment even with only one camphor disk or boat. Moreover, the collective motion of camphor disks or boats in the water channel exhibits a homogeneous and an inhomogeneous state, depending on the number of disks or boats, which looks like a kind of bifurcation phenomena. In a theoretical research, the unidirectional motion is represented by a traveling wave solution in a model. Hence it suffices to investigate a linearized...
Application of Calderón's inverse problem in civil engineering
In specific fields of research such as preservation of historical buildings, medical imaging, geophysics and others, it is of particular interest to perform only a non-intrusive boundary measurements. The idea is to obtain comprehensive information about the material properties inside the considered domain while keeping the test sample intact. This paper is focused on such problems, i.e. synthesizing a physical model of interest with a boundary inverse value technique. The forward model is represented...
Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations.
Application of Interpolation Theory to the Analysis of the Convergence Rate for Finite Difference Schemes of Parabolic Type
Application of relaxation scheme to degenerate variational inequalities
In this paper we are concerned with the solution of degenerate variational inequalities. To solve this problem numerically, we propose a numerical scheme which is based on the relaxation scheme using non-standard time discretization. The approximate solution on each time level is obtained in the iterative way by solving the corresponding elliptic variational inequalities. The convergence of the method is proved.
Application of restricted Backlund transformation to linearization of second order nonlinear parabolic equation
Application of Rothe's method to a parabolic inverse problem with nonlocal boundary condition
We consider an inverse problem for the determination of a purely time-dependent source in a semilinear parabolic equation with a nonlocal boundary condition. An approximation scheme for the solution together with the well-posedness of the problem with the initial value is presented by means of the Rothe time-discretization method. Further approximation scheme via Rothe’s method is constructed for the problem when and the integral kernel in the nonlocal boundary condition is symmetric.
Application of Rothe's method to abstract parabolic equations
Application of Rothe's method to parabolic variational inequalities
Application of the -expansion method for the Burgers, Fisher and Burgers–Fisher equations.
Applications Harmoniques de Variétés Produits.
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.