On the singular limit in a phase field model of phase transitions

We obtain the result as a direct consequence of the existence of solutions for the following problem related to the Monge-Ampere equation.. We refer to [GT]

Assuming that the physical state of the MEMS device is fully described by the vertical deflection u of the elastic plate and the electrostatic potential ψ inside the device,

T is the address of the current subterm (which is not closed, in general) : it is, therefore, an instruction pointer which runs along the term to be performed ; E is the

Existence for the two-well problem in two dimensions with unequal determinant, i.e., K = SO(2)A ∪ SO(2)B with 0 < det A < det B, was obtained by Müller and Šverák

The existence of a positive lower bound of the compressi- bility is proved in the case of general quantum lattice systems at high temperature.. The compressibility

The Barlow-Proschan importance index of the system, another useful concept introduced first in 1975 by Barlow and Proschan [2] for systems whose components have continuous

For a particular choice of one parameter (A), our equations reduce to the five parameter form suggested and applied by Ho and Litster. There appears to be a significant

We study the deformed Hermitian-Yang-Mills (dHYM) equa- tion, which is mirror to the special Lagrangian equation, from the vari- ational point of view via an infinite dimensional