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2. Minimization of the ground state of the mixture of two conducting materials in a small contrast regime

Author

Conca, C., Dambrine, M., Mahadevan, R., and Quintero, D.

Subjects
Mathematics - Optimization and Control
Abstract

We consider the problem of distributing two conducting materials with a prescribed volume ratio in a given domain so as to minimize the first eigenvalue of an elliptic operator with Dirichlet conditions. The gap between the two conductivities is assumed to be small (low contrast regime). For any geometrical configuration of the mixture, we provide a complete asymptotic expansion of the first eigenvalue. We then consider a relaxation approach to minimize the second order approximation with respect to the mixture. We present numerical simulations in dimensions two and three.

Published
2014

3. Determination of the calcium channel distribution in the olfactory system

Author

Conca, C., Lecaros, R., Ortega, J. H., and Rosier, L.

Subjects
Mathematics - Optimization and Control
Abstract

In this paper we study a linear inverse problem with a biological interpretation, which is modeled by a Fredholm integral equation of the first kind. When the kernel in the Fredholm equation is represented by step func- tions, we obtain identifiability, stability and reconstruction results. Further- more, we provide a numerical reconstruction algorithm for the kernel, whose main feature is that a non-regular mesh has to be used to ensure the invert- ibility of the matrix representing the numerical discretization of the system. Finally, a second identifiability result for a polynomial approximation of degree less than nine of the kernel is also established.

Published
2013

6. Outcome and Morphofunctional Changes on Cardiac Magnetic Resonance in Patients With Acute Myocarditis Following mRNA COVID-19 Vaccination

Author

Ammirati, E, Lupi, L, Palazzini, M, Ciabatti, M, Rossi, V, Gentile, P, Uribarri, A, Vecchio, C, Nassiacos, D, Cereda, A, Conca, C, Tumminello, G, Piriou, N, Lelarge, C, Pedrotti, P, Stucchi, M, Peretto, G, Galasso, M, Huang, F, Ianni, U, Procopio, A, Saponara, G, Cimaglia, P, Tomasoni, D, Moroni, F, Turco, A, Sala, S, Di Tano, G, Bollano, E, Moro, C, Abbate, A, Della Bona, R, Porto, I, Carugo, S, Campodonico, J, Pontone, G, Grosu, A, Bolognese, L, Salamanca, J, Diez-Villanueva, P, Ozieranski, K, Tyminska, A, Sardo Infirri, L, Bromage, D, Cannatà, A, Hong, K, Adamo, M, Quattrocchi, G, Foà, A, Potena, L, Garascia, A, Giannattasio, C, Adler, E, Sinagra, G, Ruschitzka, F, Camici, P, Metra, M, Pieroni, M, Ammirati, Enrico, Lupi, Laura, Palazzini, Matteo, Ciabatti, Michele, Rossi, Valentina A, Gentile, Piero, Uribarri, Aitor, Vecchio, Chiara R, Nassiacos, Daniele, Cereda, Alberto, Conca, Cristina, Tumminello, Gabriele, Piriou, Nicolas, Lelarge, Coline, Pedrotti, Patrizia, Stucchi, Miriam, Peretto, Giovanni, Galasso, Michele, Huang, Florent, Ianni, Umberto, Procopio, Antonio, Saponara, Gianluigi, Cimaglia, Paolo, Tomasoni, Daniela, Moroni, Francesco, Turco, Annalisa, Sala, Simone, Di Tano, Giuseppe, Bollano, Entela, Moro, Claudio, Abbate, Antonio, Della Bona, Roberta, Porto, Italo, Carugo, Stefano, Campodonico, Jeness, Pontone, Gianluca, Grosu, Aurelia, Bolognese, Leonardo, Salamanca, Jorge, Diez-Villanueva, Pablo, Ozieranski, Krzysztof, Tyminska, Agata, Sardo Infirri, Loren, Bromage, Daniel, Cannatà, Antonio, Hong, Kimberly N, Adamo, Marianna, Quattrocchi, Giuseppina, Foà, Alberto, Potena, Luciano, Garascia, Andrea, Giannattasio, Cristina, Adler, Eric D, Sinagra, Gianfranco, Ruschitzka, Frank, Camici, Paolo G, Metra, Marco, Pieroni, Maurizio, Ammirati, E, Lupi, L, Palazzini, M, Ciabatti, M, Rossi, V, Gentile, P, Uribarri, A, Vecchio, C, Nassiacos, D, Cereda, A, Conca, C, Tumminello, G, Piriou, N, Lelarge, C, Pedrotti, P, Stucchi, M, Peretto, G, Galasso, M, Huang, F, Ianni, U, Procopio, A, Saponara, G, Cimaglia, P, Tomasoni, D, Moroni, F, Turco, A, Sala, S, Di Tano, G, Bollano, E, Moro, C, Abbate, A, Della Bona, R, Porto, I, Carugo, S, Campodonico, J, Pontone, G, Grosu, A, Bolognese, L, Salamanca, J, Diez-Villanueva, P, Ozieranski, K, Tyminska, A, Sardo Infirri, L, Bromage, D, Cannatà, A, Hong, K, Adamo, M, Quattrocchi, G, Foà, A, Potena, L, Garascia, A, Giannattasio, C, Adler, E, Sinagra, G, Ruschitzka, F, Camici, P, Metra, M, Pieroni, M, Ammirati, Enrico, Lupi, Laura, Palazzini, Matteo, Ciabatti, Michele, Rossi, Valentina A, Gentile, Piero, Uribarri, Aitor, Vecchio, Chiara R, Nassiacos, Daniele, Cereda, Alberto, Conca, Cristina, Tumminello, Gabriele, Piriou, Nicolas, Lelarge, Coline, Pedrotti, Patrizia, Stucchi, Miriam, Peretto, Giovanni, Galasso, Michele, Huang, Florent, Ianni, Umberto, Procopio, Antonio, Saponara, Gianluigi, Cimaglia, Paolo, Tomasoni, Daniela, Moroni, Francesco, Turco, Annalisa, Sala, Simone, Di Tano, Giuseppe, Bollano, Entela, Moro, Claudio, Abbate, Antonio, Della Bona, Roberta, Porto, Italo, Carugo, Stefano, Campodonico, Jeness, Pontone, Gianluca, Grosu, Aurelia, Bolognese, Leonardo, Salamanca, Jorge, Diez-Villanueva, Pablo, Ozieranski, Krzysztof, Tyminska, Agata, Sardo Infirri, Loren, Bromage, Daniel, Cannatà, Antonio, Hong, Kimberly N, Adamo, Marianna, Quattrocchi, Giuseppina, Foà, Alberto, Potena, Luciano, Garascia, Andrea, Giannattasio, Cristina, Adler, Eric D, Sinagra, Gianfranco, Ruschitzka, Frank, Camici, Paolo G, Metra, Marco, and Pieroni, Maurizio

Published
2023

8. P311 TAKOTSUBO CARDIOMYOPATHY RELATED TO MRNA SARS–COV2 VACCINE

Author

Ricci, G, primary, Citarelli, G, additional, De Laura, D, additional, Degennaro, L, additional, Ligurgo, L, additional, Sassara, M, additional, Corriero, F, additional, Musci, S, additional, Desario, P, additional, Rutigliano, D, additional, Basso, P, additional, Parisi, G, additional, Buquicchio, F, additional, Conca, C, additional, Disabato, M, additional, and Caldarola, P, additional

Published
2022
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15. List of Contributors

Author

Conca, C., primary, Gallagher, I., additional, Ghrist, R., additional, Málek, J., additional, Pileckas, K., additional, Rajagopal, K.R., additional, Saint-Raymond, L., additional, Schochet, S., additional, Sell, G.R., additional, Seregin, G., additional, Serre, D., additional, and Vanninathan, M., additional

Published
2007
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18. A CLASS OF SOLUTIONS FOR THE GRAPHENE HAMILTONIAN OPERATOR.

Author

CONCA, C., MARTÍN, J. SAN, and SOLANO, V.

Subjects
GRAPHENE, SPECTRAL theory, EIGENVALUES, ELECTRONS, HONEYCOMBS
Abstract

The graphene is a substance with carbon atoms arranged in a honeycomb lattice. The dynamics of the electrons in the structure is governed by the Hamilton equations of the system in the form of its associated spectral problem: H = ?, with the additional condition that the eigenfunction must satisfy the so-called Kirchhoff's conditions. In this paper, we study a class of solutions (?;) that, in addition to meeting these conditions, are periodic in one of the two main directions of the lattice, and satisfy a pseudo-periodicity type like condition in the other direction. Our main results lead to an adequate characterization of the dispersion relationships of the honeycomb lattice, providing a precise description of the regions of stability and instability of the eigenfunctions in terms of ?. As a consequence, a tool is thus obtained for a better understanding of the propagation properties and the behavior of the wave function of electrons in a hexagonal lattice, a key issue in graphene-based technologies. [ABSTRACT FROM AUTHOR]

Published
2022

22. Uniform W1,p estimates for an elliptic operator with Robin boundary condition in a C1 domain.

Author

Amrouche, C., Conca, C., Ghosh, A., and Ghosh, T.

Abstract

We consider the Robin boundary value problem div (A ∇ u) = div f + F in Ω , a C 1 domain, with (A ∇ u - f) · n + α u = g on Γ , where the matrix A belongs to V M O (R 3) , and discover the uniform estimates on ‖ u ‖ W 1 , p (Ω) , with 1 < p < ∞ , independent of α . At the difference with the case p = 2 , which is simpler, we call here the weak reverse Hölder inequality. This estimates show that the solution of the Robin problem converges strongly to the solution of the Dirichlet (resp. Neumann) problem in corresponding spaces when the parameter α tends to ∞ (resp. 0). [ABSTRACT FROM AUTHOR]

Published
2020
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23. On the graphene Hamiltonian operator.

Author

Conca, C., Orive, R., Martín, J. San, and Solano, V.

Subjects
FLOQUET theory, ELLIPTIC equations, HAMILTONIAN operator, SPECTRAL theory, HONEYCOMB structures, DIRAC function
Abstract

We solve a second-order elliptic equation with quasi-periodic boundary conditions defined on a honeycomb lattice that represents the arrangement of carbon atoms in graphene. Our results generalize those found by Kuchment and Post (Commun Math Phys 275(3):805–826, 2007) to characterize not only the stability but also the instability intervals of the solutions. This characterization is obtained from the solutions of the energy eigenvalue problem given by the lattice Hamiltonian. We employ tools of the one-dimensional Floquet theory and specify under which conditions the one-dimensional theory is applicable to the structure of graphene. The systematic study of such stability and instability regions provides a tool to understand the propagation properties and behavior of the electrons wavefunction in a hexagonal lattice, a key problem in graphene-based technologies. [ABSTRACT FROM AUTHOR]

Published
2020
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28. Homogenization results for chemical reactive flows through porous media

Author

Conca, C., Díaz, J.I., Liñán Martínez, Amable, and Timofte, C.

Subjects
Matemáticas, Física, Química
Abstract

This paper deals with the homogenization of a nonlinear problem mod-elllng chemica! reactive flows through periodically perforated domains. The chemical reactions take place on the walls of the porous médium. The effective behavior of these reactive flows is described by a new elliptic boundary-value problem contalning an extra zero-order term which captures the effect of the chemical reactions.

Published
2005

29. Bloch approximation in homogenization on bounded domains

Author

Conca, C., Orive, R., and Vanninathan, M.

Subjects
Mathematics
Abstract

The classical problem of homogenization deals with elliptic operators in periodically oscillating media of small period ${\epsilon}>0$ and the asymptotic behavior of solution $u^{\epsilon}$ of boundary value problems associated with such operators. In a previous work [Conca et al., SIAM J. Math. Anal. 33 (2002), 1166-1198], the authors introduced what is called Bloch approximation which provided energy norm approximation for the solution in $\mathbbR^{N}$. This paper continues with the above development and proposes a modified Bloch approximation. This function takes into account boundary effects. Its connection with the first order classical correctors is also established with the corresponding error estimate. All the proofs are worked out entirely in the Fourier-Bloch space.

Published
2005

31. On the homogenization of a semilinear problem arising in chemistry

Author

Conca, C., Díaz, J. L., and Timofte, C.

Abstract

The aim of this paper is to study the asymptotic behavior of the solution of a transmission problem in some chemical reactive flows through periodically perforated do mains. The domain is considered to be a fixed bounded open subset Ω⊂Rn, in which identical and periodically distributed perforations (holes) of size ε are made. The asymptotic behavior of the solution of such a problem is governed by a new elliptic boundary-value problem with an extra zero-order term that captures the effect of the chemical reactions associated to the homogenized medium.

Published
2004

34. Homogenization results for chemical reactive flows through porous media

Author

Mihailescu-Suliciu, Mihaela, Conca, C., Díaz Díaz, Jesús Ildefonso, LIñán, A., Timofte, C., Mihailescu-Suliciu, Mihaela, Conca, C., Díaz Díaz, Jesús Ildefonso, LIñán, A., and Timofte, C.

Abstract

This paper deals with the homogenization of a nonlinear problem modelllng chemical reactive flows through periodically perforated domains. The chemical reactions take place on the walls of the porous médium. The effective behavior of these reactive flows is described by a new elliptic boundary-value problem contalning an extra zero-order term which captures the effect of the chemical reactions.

Published
2005

36. Abstracts: Pacing indications and outcome

Author

Klimusina, J., primary, Faletra, F., additional, Regoli, F., additional, Averaimo, M., additional, Evangelista, A., additional, Moccetti, T., additional, Auricchio, A., additional, Klimusina, J., additional, Conca, C., additional, Pasotti, E., additional, Pedrazzini, G., additional, Silva, E., additional, Sitges, M., additional, Delgado, V., additional, Tamborero, D., additional, Vidal, B., additional, Godoy, M. A., additional, Mont, L., additional, Brugada, J., additional, Occhetta, E., additional, Bortnik, M., additional, Leverone, M., additional, Rondano, E., additional, Plebani, L., additional, Marino, P., additional, Leclercq, C., additional, Donal, E., additional, Cazeau, S., additional, Giorgis, L., additional, Hernandez, A., additional, Jauvert, G., additional, Mabo, P., additional, Khan, F. Z., additional, Read, P. A., additional, Salahshouri, P., additional, Bayrakdar, M. A., additional, Virdee, M. S., additional, Fynn, S. P., additional, and Dutka, D. P., additional

Published
2009
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