Bernardo Galvão-Sousa

activity

20092013

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4 papers · 1 filter

math.AP2013

Accelerating fronts in semilinear wave equations

Bernardo Galvão-Sousa, Robert L. Jerrard

We study dynamics of interfaces in solutions of the equation $ε □ u + \frac{1}{ε} f_{ε} (u) = 0$ , for $f_{ε}$ of the form $f_{ε} (u) = (u^{2} - 1) (2 u - ε κ)$ , for $κ \in R$ , as well as mor…

math.AP2012

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…

math.AP2009

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…

math.AP2009

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…