The mixed variational formulation of many elliptic boundary value problems involves vector valued function spaces, like, in three dimensions, H(curl; Ω) and H(Div;Ω). Thus finite element subspaces of these function spaces are indispensable for effective finite element discretization schemes. Given a simplicial triangulation of the computational domain Ω, among others, Raviart, Thomas and Nédéle...

Cotton leaf curl virus (CLCuV) (Gemininiviridae: Begomovirus) is the causative agent of leaf curl disease in cotton plants (Gossypium hirsutum). CLCuV is exclusively transmitted by the whitefly species B. tabaci (Gennadius) (Hemiptera: Alerodidae). B. tabaci contains several biotypes which harbor dissimilar bacterial endo-symbiotic community. It is reported that these bacterial endosymbionts pr...

Cotton leaf curl disease is the major biotic constraint to cotton production in Pakistan and India.The disease causes unusual symptoms that include vein swelling, enations and the formation of leaf-like outgrowths. Cotton production during the 1990s was severely curtailed by CLCuD across the sub-continent. This stimulated interest in determining the aetiology and generating resistant varieties....

The div-curl lemma, one of the basic results of the theory of compensated compactness of Murat and Tartar, does not take over to the case in which the two factors two-scale converge in the sense of Nguetseng. A suitable modification of the differential operators however allows for this extension. The argument follows the lines of a well-known paper of F. Murat of 1978, and uses a two-scale exte...