Eigenvalue problems for a mixed-type equation with two singular coefficients.
Eindutigkeitsaussagen für das Tricomi-Problem im ... für eine Klasse nichtlinearer Gleichungen gemischten Typs.
Energy inequalities for a model of wave propagation in cold plasma.
Entropy regularization of the transonic potential flow problem
Entropy solutions to a second order forward-backward parabolic differential equation.
Error estimates for Stokes problem with Tresca friction conditions
In this paper, we present and study a mixed variational method in order to approximate, with the finite element method, a Stokes problem with Tresca friction boundary conditions. These non-linear boundary conditions arise in the modeling of mold filling process by polymer melt, which can slip on a solid wall. The mixed formulation is based on a dualization of the non-differentiable term which define the slip conditions. Existence and uniqueness of both continuous and discrete solutions of these...
Existence and uniqueness for a two-dimensional Ventcel problem modeling the equilibrium of a prestressed membrane
This paper deals with a mixed boundary-value problem of Ventcel type in two variables. The peculiarity of the Ventcel problem lies in the fact that one of the boundary conditions involves second order differentiation along the boundary. Under suitable assumptions on the data, we first give the definition of a weak solution, and then we prove that the problem is uniquely solvable. We also consider a particular case arising in real-world applications and discuss the resulting model.
Existence of a principal eigenvalue for the Tricomi problem.
Existence of regular time-periodic solutions for a class of non-Newtonian double-diffusive convection system
We investigate a system of partial differential equations that models the motion of an incompressible double-diffusion convection fluid. The additional stress tensor is generated by a potential with -structure. In a three-dimensional periodic setting and , we employ a regularized approximation scheme in conjunction with the Galerkin method to establish the existence of regular solutions, provided that the forcing term is properly small. Furthermore, we demonstrate the existence of periodic regular...
Existence of solutions for a nonlinear hyperbolic-parabolic equation in a non-cylinder domain.
Existenz und Eindeutigkeit für Lösungen des Neumann-Tricomi-Problems im ...