Displacement convexity and minimal fronts at phase boundaries

@misc{citeulike:1363487, abstract = {We show that certain free energy functionals that are not convex with respect to the usual convex structure on their domain of definition, are strictly convex with respect to another convex structure. We use this to show that in certain cases, the only critical points of these functionals are minimizers. Since in these cases the Euler--Lagrange equations can easily be solved by iteration, this permits us to give a simple construction of the minimizers, from which many of their properties can be readily established.}, author = {Carlen, Eric A. and Carvalho, Maria C. and Esposito, Raffaele and Lebowitz, Joel L. and Marra, Rossana }, citeulike-article-id = {1363487}, eprint = {0706.0133}, keywords = {free-energy, transport}, month = {Jun}, posted-at = {2008-07-23 11:11:02}, priority = {2}, title = {Displacement convexity and minimal fronts at phase boundaries}, url = {http://arxiv.org/abs/0706.0133}, year = {2007} }

TY - ELEC ID - citeulike:1363487 L3 - citeulike-article-id:1363487 TI - Displacement convexity and minimal fronts at phase boundaries N2 - We show that certain free energy functionals that are not convex with respect to the usual convex structure on their domain of definition, are strictly convex with respect to another convex structure. We use this to show that in certain cases, the only critical points of these functionals are minimizers. Since in these cases the Euler--Lagrange equations can easily be solved by iteration, this permits us to give a simple construction of the minimizers, from which many of their properties can be readily established. KW - free-energy KW - transport AU - Carlen, Eric AU - Carvalho, Maria AU - Esposito, Raffaele AU - Lebowitz, Joel AU - Marra, Rossana PY - 2007/Jun/01/ UR - http://arxiv.org/abs/0706.0133 ER -