We obtain the weak well-posedness results for linear strongly damped wave equation and nonlinear Westervelt on arbitrary three-dimensional domains with homogeneous Dirichlet boundary conditions. In R2, we prove in class of NTA or their limit domains, obtained as a sequences characterized by same geometrical constants. The nonhomogeneous condition is also treated Sobolev extension Rn d-set n−2<d...

This fifth installment is devoted to an in-depth study of CA Characteristic Functions, a unified global representation for all 256 one-dimensional Cellular Automata local rules. Except for eight rather special local rules whose global dynamics are described by an affine (mod 1 ) function of only one binary cell state variable, all characteristic functions exhibit a fractal geometry where self-s...

a brass vortex tube (vt) with interchangeable parts is used to determine the optimum cold end orifice diameter, main tube length and diameter. experiments were carried out to study the effects of operating pressure as well. it is shown that there is an optimum value for cold end orifice diameter, which is equal to 4mm and there is an optimum value for cold and hot exit temperature difference at...

The process of developing architectural forms has greatly been changed by advances in digital technology, especially in design tools and applications. In recent years, the advent of graphical scripting languages in the design process has profoundly affected 3D modeling. Scripting languages help develop algorithms and geometrical grammar of shapes based on their constituent parameters. This stud...

Let k be an algebraically closed field of characteristic 0 or p>2. G affine supergroup scheme over k. We classify the indecomposable exact module categories tensor category sCohf(G) (coherent sheaves of) finite dimensional O(G)-supermodules in terms (H,Ψ)-equivariant coherent on G. deduce from it classification geometrical sRep(G). When is finite, this yields all In particular, we obtain a twis...