The Three-Dimensional Wave Equation in a Characteristic Quarter-Space

Characteristic Strichartz Estimates for the Wave Equation

A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients

This paper concerns with the modeling and construction of a fifth order method for two dimensional acoustic wave equation in heterogenous media. The method is based on a standard discretization of the problem on smooth regions and a nonstandard method for nonsmooth regions. The construction of the nonstandard method is based on the special treatment of the interface using suitable jump conditio...

A three-dimensional backward-wave network matched with free space

A backward-wave slab based on a capacitively and inductively loaded three-dimensional transmission-line network is designed in such a way that impedance-matching with free space is obtained. To enable field propagation from free space to the network and vice versa, the use of a transition layer is proposed. Matching of the designed network with free space and negative refraction occurring at th...

Space as a Semiotic Object: A Three-Dimensional Model of Vertical Structure of Space in Calvino’s Invisible Cities

Following the “spatial turn” of the last 3 decades in humanities and social sciences and the structure of semiotic object, this research studies space as the main semiotic object of Calvino’s (1972) Invisible Cities. Significance of this application resides in examining the possibility of providing a more concrete methodology based on the integration of Zoran’s (1984) 3 vertical levels of const...

Existence and characterization of characteristic points for a semilinear wave equation in one space dimension

Abstract: We consider the semilinear wave equation with power nonlinearity in one space dimension. We first show the existence of a blow-up solution with a characteristic point. Then, we consider an arbitrary blow-up solution u(x, t), the graph x 7→ T (x) of its blow-up points and S ⊂ the set of all characteristic points, and show that the S has an empty interior. Finally, given x0 ∈ S, we show...