0000000000956472

AUTHOR

Ana Margarida Ribeiro

0000-0002-9377-3680

showing 2 related works from this author

Relaxation of certain integral functionals depending on strain and chemical composition

2012

We provide a relaxation result in $BV \times L^q$, $1\leq q < +\infty$ as a first step towards the analysis of thermochemical equilibria.

RelaxationStrain (chemistry)Applied MathematicsGeneral Mathematics010102 general mathematicsMathematical analysisThermodynamics02 engineering and technologyRelaxation; functions of bounded variation; quasiconvexity.01 natural sciencesquasiconvexityMathematics - Analysis of PDEsfunctions of bounded variation0202 electrical engineering electronic engineering information engineeringFOS: MathematicsRelaxation (physics)020201 artificial intelligence & image processing0101 mathematicsPhysics::Chemical PhysicsChemical compositionMathematicsAnalysis of PDEs (math.AP)
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Lower semicontinuous envelopes in $w^{1,1}\times l^p$

2012

It is studied the lower semicontinuity of functionals of the type $\int_\Omega f(x,u,v, \nabla u)dx$ with respect to the $(W^{1,1}\times L^p)$-weak \ast topology. Moreover in absence of lower semicontinuity, it is also provided an integral representation in $W^{1,1} \times L^p$ for the lower semicontinuous envelope.

Mathematics - Analysis of PDEsFOS: MathematicsAnalysis of PDEs (math.AP)
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