rEsEARCH
 
research interests

mathematics education, calculus of variations

papers

s. alama, l. bronsard, b. galvao-sousa, weak anchoring for a two-dimensional liquid crystal, j. nonlinear analysis (TMA), 119 (2015), pp 74-97

b. galvao-sousa, r. jerrard, accelerating fronts in semilinear wave equations, Rendiconti Circ Matematico di Palermo, 64-1 (2015), pp 117-148

s. alama, l. bronsard, b. galvao-sousa, singular limits for thin film superconductors in strong magnetic fields, asymptotic analysis 83 no 1-2 (2013), pp 127-156

b. galvao-sousa, v. millot, a two-gradient approach for phase transitions in thin films, nonlinear differential equations and applications (nodea) (2013)

b. galvao-sousa, higher-order phase transitions with line-tension effect, control optim calc var, 17 (2011), pp 603-647

s. alama, l. bronsard, b. galvao-sousa, thin film limits for ginzburg-landau with strong applied fields, siam j math anal 42 (2010), pp 97-124

talks
higher-order phase transitions with line-tension effecthttp://www.math.toronto.edu/beni/talks/higher_order_phase_transitions_with_line_tension_effect.pdf
phase transitions for thin films
(joint work with v millot)http://www.math.toronto.edu/beni/talks/phase_transitions_4_thin_films.pdf
thin-films for ginzburg-landau
(with s alama and l bronsard)http://www.math.toronto.edu/beni/talks/ginzburglandau_thinfilms.pdf
beni at math dot toronto dot edumailto:beni%20@%20math%20dot%20toronto%20dot%20edu?subject=
back homehOME.html
bernardo galvão-sousahOME.html

cv

multi-modality imaging
(fields industrial working group)http://www.math.toronto.edu/beni/talks/multi-modality-imaging.pdf
london limit of thin-films for ginzburg-landau (Hc1) and (Hc2)
(with s alama and l bronsard)http://www.math.toronto.edu/beni/talks/ginzburglandau_thinfilms_hc1_hc2.pdf
accelerating fronts
(with r jerrard)http://www.math.toronto.edu/beni/talks/AcceleratingFrontsinSemilinearWaveEquations/index.html