Global weak solutions to a spatio-temporal fractional Landau–Lifshitz–Bloch equation

The present paper deals with global existence of weak solutions of a time-space fractional Landau–Lifshitz–Bloch equation involving the weak Caputo derivative and a fractional Laplacian. We use Faedo–Galerkin method with some commutator estimates in order to prove global existence of weak solutions for the model. The uniqueness is also discussed in a special one dimensional case.     

Lived body and fantasmatic body: The debate between phenomenology and psychoanalysis.

Neither the lived body, taken up by Merleau-Ponty after Husserl, nor the libidinal body theorised by psychanalysts after Freud, can be reduced to the counted, measured, physical body, apprehended only from outside. Both phenomenology and psychoanalysis set forth the priority of a global subjective lived body, approached "from within". However, their perspectives seem to differ when it comes to the conception of the interiority of this lived body, which psychoanalysis deems as imaginary. This paper examines the similarities and discrepancies between the Merleau-Pontyan phenomenological body and the Freudian erogenous body. It attempts to show how the very categories of perception and imagination are reversed when moving from one discipline to the other. It concludes by proposing some lines along which the comparison could be prolonged. (PsycINFO Database Record (c) 2010 APA, all rights reserved)