6 papers
Weak Anchoring for a Two-Dimensional Liquid Crystal
Stan Alama, Lia Bronsard, Bernardo Galvao-Sousa
We study the weak anchoring condition for nematic liquid crystals in the context of the Landau-De Gennes model. We restrict our attention to two dimensional samples and to nematic…
Accelerating fronts in semilinear wave equations
Bernardo Galvão-Sousa, Robert L. Jerrard
We study dynamics of interfaces in solutions of the equation , for of the form , for , as well as mor…
Singular Limits for Thin Film Superconductors in Strong Magnetic Fields - Maan Field Model for Thin Films
Stan Alama, Lia Bronsard, Bernardo Galvão-Sousa
We consider singular limits of the three-dimensional Ginzburg-Landau functional for a superconductor with thin-film geometry, in a constant external magnetic field. The superconduc…
A two-gradient approach for phase transitions in thin films
Bernardo Galvão-Sousa, Vincent Millot
Motivated by solid-solid phase transitions in elastic thin films, we perform a Gamma-convergence analysis for a singularly perturbed energy describing second order phase transition…
Higher-order phase transitions with line-tension effect
Bernardo Galvao-Sousa
The behavior of energy minimizers at the boundary of the domain is of great importance in the Van de Waals-Cahn-Hilliard theory for fluid-fluid phase transitions, since it describe…
Thin film limits for Ginzburg--Landau with strong applied magnetic fields
Stan Alama, Lia Bronsard, Bernardo Galvão-Sousa
In this work, we study thin-film limits of the full three-dimensional Ginzburg-Landau model for a superconductor in an applied magnetic field oriented obliquely to the film surface…