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On uniqueness and continuity for the quasi-linear, bianisotropic Maxwell equations, using an entropy condition

The quasi-linear Maxwell equations describing electromagnetic wave propagation in nonlinear media permit several weak solutions, which may be discontinuous (shock waves). It is often conjectured that the solutions are unique if they satisfy an additional entropy condition. The entropy condition states that the energy contained in the electromagnetic fields is irreversibly dissipated to other energy

Attitudes towards sustainable development issues in four Swedish municipalities

Sustainable development was defined by the Bruntland Comission as a 'development that meets the needs of the present without compromising the ability of future generations to meet their own needs' (WCED1 , 1987, p. 8). In the report 'Our Common Future' the Bruntland Commission proposed policies for a 'World Programme for Change' (WCED, 1987). At the UNCED2 , conference in Rio 1992, proposals were

Smooth blending of nonlinear controllers using density functions

A new convergence criterion for nonlinear systems was recently derived by the first author. The criterion is similar to Lyapunov’s second theorem but differs in several respects. In particular, it has a remarkable convexity property in the context of control synthesis. While the set of control Lyapunov functions for a given system may not even be connected, the corresponding set of “density” funct