We study the existence and asymptotics for large time of the solutions to a one dimensional evolu... more We study the existence and asymptotics for large time of the solutions to a one dimensional evolution equation with non-standard right hand side. The right hand side involves the derivative of the solution computed at a given point. Existence is proven through a fixed point argument. When the problem is considered in a bounded interval, it is shown that the solution decays exponentially to the stationary state. This problem is a particular case of a mean-field free boundary model proposed by Lasry-Lions on price formation and dynamic equilibria.
We look at complete, locally conformally flat metrics defined on a domain Ω ⊂ S n . There is a lo... more We look at complete, locally conformally flat metrics defined on a domain Ω ⊂ S n . There is a lot of information about the singular set ∂Ω contained in the positivity of σ k and, in particular, we obtain a bound for the Hausdorff dimension of ∂Ω, in relation to Schoen-Yau's work for the scalar curvature. On the other hand, since some locally conformally flat manifolds can be embedded into S n , this dimension bound implies several topological corollaries.
The cephalopod fauna collected in five MEDITS-ES trawl surveys carried out on the Iberian Mediter... more The cephalopod fauna collected in five MEDITS-ES trawl surveys carried out on the Iberian Mediterranean coast was analysed. Hauls, which were carried out in spring between 1994 and 1998, numbered 480. A total of 34 cephalopod species, grouped in 11 families, was found at depths of between 25 and 786 m. Species and samples assemblages were analysed with the Bray-Curtis similarity index. From the physical parameters studied (depth, temperature and bottom type) only depth showed a positive correlation with cephalopod distribution. Three main cephalopod communities were defined: the shelf community (< 150 m), the middle slope community (> 480 m) and a group of cephalopods which were widely distributed more abundantly on the lower continental shelf-upper slope (150-480 m). SIMPER analysis revealed that Loligo (Alloteuthis) media was the main indicator species of the shelf group, Eledone cirrhosa was the indicator species of the lower shelf upper slope group and Todarodes sagittatus of the middle slope community. The 150-480 m stratum was considered a transitional zone, representing an overlapping region for shelf and slope faunas.
This study reports changes in ascorbic acid (AA) in anchoveta eggs, copepods and zooplankton duri... more This study reports changes in ascorbic acid (AA) in anchoveta eggs, copepods and zooplankton during the 2006, 2007 and 2009 main spawning seasons in the coastal area of the central Humboldt Current System, Chile. Anchoveta eggs, copepods and total zooplankton community shared a seasonal variation and an increasing trend in AA concentration from winter through spring which was associated with the spring diatom bloom. The lineal relationship observed between AA concentration in anchoveta eggs, chlorophyll a and Sea Surface Temperature (SST) suggests that the increase in phytoplankton abundance could also increase the amount of AA in the spawning female anchoveta incorporated through tissue, thus increasing the concentration in their eggs. Ascorbic acid concentrations in copepods presented size (weight) dependence. Small copepods (e.g. Acartia, Oithona) had AA concentrations two orders of magnitude higher than the heavier weight class copepods (e.g. Calanus, Rhincalanus). Results of the determination of glutathione and the antioxidant potential showed a similar trend in interannual variations, suggesting that cold SST conditions observed in the 2007 spawning season could increase the consumption of antioxidants in early stages. Potential connections between AA concentration in the food web on anchoveta reproduction and egg hatching and embryo malformations are discussed.
We investigate the singular sets of solutions of conformally covariant elliptic operators of frac... more We investigate the singular sets of solutions of conformally covariant elliptic operators of fractional order with the goal of developing generalizations of some well-known properties of solutions of the singular Yamabe problem.
We study the existence and asymptotics for large time of the solutions to a one dimensional evolu... more We study the existence and asymptotics for large time of the solutions to a one dimensional evolution equation with non-standard right hand side. The right hand side involves the derivative of the solution computed at a given point. Existence is proven through a fixed point argument. When the problem is considered in a bounded interval, it is shown that the solution decays exponentially to the stationary state. This problem is a particular case of a mean-field free boundary model proposed by Lasry-Lions on price formation and dynamic equilibria.
We look at complete, locally conformally flat metrics defined on a domain Ω ⊂ S n . There is a lo... more We look at complete, locally conformally flat metrics defined on a domain Ω ⊂ S n . There is a lot of information about the singular set ∂Ω contained in the positivity of σ k and, in particular, we obtain a bound for the Hausdorff dimension of ∂Ω, in relation to Schoen-Yau's work for the scalar curvature. On the other hand, since some locally conformally flat manifolds can be embedded into S n , this dimension bound implies several topological corollaries.
The cephalopod fauna collected in five MEDITS-ES trawl surveys carried out on the Iberian Mediter... more The cephalopod fauna collected in five MEDITS-ES trawl surveys carried out on the Iberian Mediterranean coast was analysed. Hauls, which were carried out in spring between 1994 and 1998, numbered 480. A total of 34 cephalopod species, grouped in 11 families, was found at depths of between 25 and 786 m. Species and samples assemblages were analysed with the Bray-Curtis similarity index. From the physical parameters studied (depth, temperature and bottom type) only depth showed a positive correlation with cephalopod distribution. Three main cephalopod communities were defined: the shelf community (< 150 m), the middle slope community (> 480 m) and a group of cephalopods which were widely distributed more abundantly on the lower continental shelf-upper slope (150-480 m). SIMPER analysis revealed that Loligo (Alloteuthis) media was the main indicator species of the shelf group, Eledone cirrhosa was the indicator species of the lower shelf upper slope group and Todarodes sagittatus of the middle slope community. The 150-480 m stratum was considered a transitional zone, representing an overlapping region for shelf and slope faunas.
This study reports changes in ascorbic acid (AA) in anchoveta eggs, copepods and zooplankton duri... more This study reports changes in ascorbic acid (AA) in anchoveta eggs, copepods and zooplankton during the 2006, 2007 and 2009 main spawning seasons in the coastal area of the central Humboldt Current System, Chile. Anchoveta eggs, copepods and total zooplankton community shared a seasonal variation and an increasing trend in AA concentration from winter through spring which was associated with the spring diatom bloom. The lineal relationship observed between AA concentration in anchoveta eggs, chlorophyll a and Sea Surface Temperature (SST) suggests that the increase in phytoplankton abundance could also increase the amount of AA in the spawning female anchoveta incorporated through tissue, thus increasing the concentration in their eggs. Ascorbic acid concentrations in copepods presented size (weight) dependence. Small copepods (e.g. Acartia, Oithona) had AA concentrations two orders of magnitude higher than the heavier weight class copepods (e.g. Calanus, Rhincalanus). Results of the determination of glutathione and the antioxidant potential showed a similar trend in interannual variations, suggesting that cold SST conditions observed in the 2007 spawning season could increase the consumption of antioxidants in early stages. Potential connections between AA concentration in the food web on anchoveta reproduction and egg hatching and embryo malformations are discussed.
We investigate the singular sets of solutions of conformally covariant elliptic operators of frac... more We investigate the singular sets of solutions of conformally covariant elliptic operators of fractional order with the goal of developing generalizations of some well-known properties of solutions of the singular Yamabe problem.
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Papers by Mär González