Oč vlastně jde v teorii Schrodingerových operátorů?
On 2D Rayleigh-Taylor instabilities
On 3D slightly compressible Euler equations.
On a 2D vector Poisson problem with apparently mutually exclusive scalar boundary conditions
This work is devoted to the study of a two-dimensional vector Poisson equation with the normal component of the unknown and the value of the divergence of the unknown prescribed simultaneously on the entire boundary. These two scalar boundary conditions appear prima facie alternative in a standard variational framework. An original variational formulation of this boundary value problem is proposed here. Furthermore, an uncoupled solution algorithm is introduced together with its finite element...
On a boundary value problem in nonlinear theory of thin elastic plates
On a Caginalp phase-field system with a logarithmic nonlinearity
We consider a phase field system based on the Maxwell Cattaneo heat conduction law, with a logarithmic nonlinearity, associated with Dirichlet boundary conditions. In particular, we prove, in one and two space dimensions, the existence of a solution which is strictly separated from the singularities of the nonlinear term and that the problem possesses a finite-dimensional global attractor in terms of exponential attractors.
On a certain lubrication slip model.
On a certain two-sided symmetric condition in magnetic field analysis and computations
A special two-sided condition for the incremental magnetic reluctivity is introduced which guarantees the unique existence of both the weak and the approximate solutions of the nonlinear stationary magnetic field distributed on a region composed of different media, as well as a certain estimate of the error between the two solutions. The condition, being discussed from the physical as well as the mathematical point of view, can be easily verified and is fulfilled for various magnetic reluctivity...
On a class of conservative, highly accurate Galerkin methods for the Schrödinger equation
On a class of non linear Schrödinger equations. III. Special theories in dimensions 1, 2 and 3
On a construction of weak solutions to non-stationary Stokes type equations by minimizing variational functionals and their regularity
In this paper, we prove that the regularity property, in the sense of Gehring-Giaquinta-Modica, holds for weak solutions to non-stationary Stokes type equations. For the construction of solutions, Rothe's scheme is adopted by way of introducing variational functionals and of making use of their minimizers. Local estimates are carried out for time-discrete approximate solutions to achieve the higher integrability. These estimates for gradients do not depend on approximation.
On a counterexample of Garofalo-Lin for a unique continuation of Schrödinger equation.
On a Decay Property of Weak Solution for Semilinear Evolution Equation of Parabolic Type and Its Applications.
On a differential equation approach to quantum field theory : causality property for the solutions of Thirring's model
On a differential inequality for a viscous compressible heat conducting capillary fluid bounded by a free surface
We derive a global differential inequality for solutions of a free boundary problem for a viscous compressible heat concluding capillary fluid. The inequality is essential in proving the global existence of solutions.
On a diphasic low Mach number system
We propose a Diphasic Low Mach Number (DLMN) system for the modelling of diphasic flows without phase change at low Mach number, system which is an extension of the system proposed by Majda in [Center of Pure and Applied Mathematics, Berkeley, report No. 112] and [Combust. Sci. Tech. 42 (1985) 185–205] for low Mach number combustion problems. This system is written for a priori any equations of state. Under minimal thermodynamic hypothesis which are satisfied by a large class of generalized van...
On a diphasic low mach number system
We propose a Diphasic Low Mach Number (DLMN) system for the modelling of diphasic flows without phase change at low Mach number, system which is an extension of the system proposed by Majda in [Center of Pure and Applied Mathematics, Berkeley, report No. 112] and [Combust. Sci. Tech.42 (1985) 185–205] for low Mach number combustion problems. This system is written for a priori any equations of state. Under minimal thermodynamic hypothesis which are satisfied by a large class of generalized van...
On a direct construction of inverse scattering problems for integrable nonlinear evolution equations in the two-spatial dimension.
On a direct decomposition of the space .
On a free boundary barotropic model