Analysis of the mushy region in conduction-convection problems with change of phase.
Analytic solution of an initial-value problem from Stokes flow with free boundary.
Analytic solutions for the classical two-phase Stefan problem
Analytical solution for the time-fractional telegraph equation.
Analytical solution of the hyperbolic heat conduction equation for moving semi-infinite medium under the effect of time-dependent laser heat source.
Analyticité et itères d'un système de champs non elliptique
Analyticity of solutions and Kolmogorov's dissipation scale for 2D Navier-Stokes equations
Analyticity of the interface in a free boundary problem.
Analyticity of thermo-elastic semigroups with free boundary conditions
Ancora sulla perturbazione delle disequazioni d'evoluzione paraboliche
Anisotropic inverse problems and Carleman estimates
This note reports on recent results on the anisotropic Calderón problem obtained in a joint work with Carlos E. Kenig, Mikko Salo and Gunther Uhlmann [8]. The approach is based on the construction of complex geometrical optics solutions to the Schrödinger equation involving phases introduced in the work [12] of Kenig, Sjöstrand and Uhlmann in the isotropic setting. We characterize those manifolds where the construction is possible, and give applications to uniqueness for the corresponding anisotropic...
Anisotropic motion of a phase interface.
Anisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres.
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...
Another approach to vibration analysis of stepped structures.
Application des sentinelles à l'identification des pollutions dans une rivière
Application of a noncompactness technique to an investigation of the existence of solutions to a nonlocal multivalued Darboux problem.
Application of He's homotopy perturbation method for Cauchy problem of ill-posed nonlinear diffusion equation.
Application of He's variational iteration method to solve semidifferential equations of th order.
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.