A critique for shallow water theory

A shallow-water theory for annular sections of Keplerian Disks

Context. A scaling argument is presented that leads to a shallow water theory of non-axisymmetric disturbances in annular sections of thin Keplerian disks. Aims. To develop a theoretical construction that will aid in physically understanding the relationship of known twodimensional vortex dynamics to their three-dimensional counterparts in Keplerian disks. Methods. Using asymptotic scaling argu...

Nonlinear edge waves and shallow-water theory

Epstein's Tort Theory: a Critique

IN three articles published in this journal between 1973 and 1975, my colleague Professor Richard Epstein set forth an ambitious normative theory of tort law.' Among the distinctive features of this theory were the author's insistence that strict liability based on causal principles should be the prima facie standard of liability, that notions of liberty rather than of economic efficiency shoul...

A Critique of Feminist Theory

Objective: Feminism has grown rapidly in the last 40 years as both a multidisciplinary voice advocating for change and an area of scholarship and theorybuilding. A review of empirical articles describes 17 studies that indicate a wide range of applications of feminist theory, but theory is applied primarily as a lens for other issues, rather than to expand theory development. Advocacy and philo...

Hyperbolic theory of the ‘‘shallow water’’ magnetohydrodynamics equations

Recently the shallow water magnetohydrodynamic ~SMHD! equations have been proposed for describing the dynamics of nearly incompressible conducting fluids for which the evolution is nearly two-dimensional ~2D! with magnetohydrostatic equilibrium in the third direction. In the present paper the properties of the SMHD equations as a nonlinear system of hyperbolic conservation laws are described. C...