On the well-posedness of a mathematical model for lithium-ion batteries.

We discuss the well-posedness of a mathematical model that is used in the literature for the simulation of lithium-ion batteries. First, a mathematical model based on a macrohomogeneous approach is presented, following previous work. Then it is shown, from a physical and a mathematical point of view, that a boundary condition widely used in the literature is not correct. Although the errors could be just sign typos (which can be explained as carelessness in the use of d/dx versus d/dn, with n the outward unit vector) and authors using this model probably use the correct boundary condition when they solve it in order to do simulations, readers should be aware of the right choice. Therefore, the deduction of the correct boundary condition is done here, and a mathematical study of the well-posedness of the corresponding problem is presented.

The Complications of the Erotic: Eroticism in Last Tango in Paris and Une liaison pornographique

Even more so than in other arts, film has tried to draw an artificial but clear line between eroticism and pornography, nonetheless perpetuating moral judgments about movies marketed as “erotic”. The explicit and repeated portrayal of sex in such films would place them dangerously near the vortex of the pornographic, and thus, since they are not concerned with transcendental issues, they would require little or no critical attention. I will however try to argue, using Last Tango in Paris and Une liaison pornographique, that many of these “erotic” films conclude that a relationship based solely on sex (i.e. “pornographic”), which ignores the complexities of individual identity and the interpersonal is doomed to fail. Also, I would like to show how these films ultimately conceive of sex as something that goes beyond the merely physical and walks the grounds of such transcendental issues as despair, loneliness, death, or love.