This note is devoted to the effect of topography on geophysical flows. We consider two models derived from shallow water theory: the quasigeostrophic equation and the lake equati...
We consider solutions of a system of refinement equations written in the form φ = α∈Z a(α)φ(2 · −α), where the vector of functions φ = (φ1, . . . , φr)T is in (Lp(R))...
Rong-Qing Jia, Sherman D. Riemenschneider, Ding-Xu...
The classical inexact Newton algorithm is an efficient and popular technique for solving large sparse nonlinear system of equations. When the nonlinearities in the system are wellb...
Many applications of Mathematical Physics and Engineering are connected with the Laplacian, however, the most part of BVP relevant to the Laplacian are solved in explicit form onl...
The fact that the heat equation is controllable to zero in any bounded domain of the euclidean space, any time T > 0 and from any open subset of the boundary is well known. On ...