Boussinesq system with non-homogeneous boundary conditions

A Remark on Persistence of Global Well-Posedness for the Boussinesq System with Non-homogeneous Boundary in Dimension Two

Positive Solutions of Second Order Multi–point Boundary Value Problems with Non–homogeneous Boundary Conditions

We are interested in the existence of positive solutions to multi-point boundary value problems for second order nonlinear differential equations with non-homogeneous boundary conditions. We show that results for the multi-point problems can be proved much in a similar way by methods available for the three point problem. Mathematics subject classification (2010): 34B10, 34B15.

A System of Semilinear Evolution Equations with Homogeneous Boundary Conditions for Thin Plates Coupled with Membranes

In this work we consider a semilinear initial boundary-value problem modelling an elastic thin plate (in the context of the so-called KirchhoffLove theory) coupled with an elastic membrane, regarding homogeneous boundary conditions. By means of the theory of strongly continuous semigroups of linear operators applied to abstract semilinear initial valued problems [16], we obtain existence and un...

Nonsteady Navier-stokes Equations with Homogeneous Mixed Boundary Conditions

Let Ω be a bounded domain in IR with a Lipschitz boundary, ∂Ω ∈ | C and let Γ1, Γ2 be open disjoint subsets of ∂Ω such that ∂Ω = Γ1 ∪ Γ2, Γ1 6= ∅ and the 1-dimensional measure of ∂Ω − (Γ1 ∪ Γ2) is zero. The domain Ω represents a channel filled up with a fluid, Γ1 is a fixed wall and Γ2 is both the input and the output of the channel. Let T ∈ (0,∞], Q = Ω×(0, T ). The classical formulation of ou...

Spline wavelets on the interval with homogeneous boundary conditions

In this paper we investigate spline wavelets on the interval with homogeneous boundary conditions. Starting with a pair of families of B-splines on the unit interval, we give a general method to explicitly construct wavelets satisfying the desired homogeneous boundary conditions. On the basis of a new development of multiresolution analysis, we show that these wavelets form Riesz bases of certa...