Carmen Perugia
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Carmen Perugia has a total of 36 co-authors. Here are the top co-authors by number of shared publications:
- Giuseppe Cardone
Department of Engineering, University of Sannio, Benevento, Italy
12 shared publications - Luisa Faella
Università degli Studi di Cassino e del Lazio Meridionale
7 shared publications - Sara Monsurrò
Dipartimento di Matematica Università degli Studi di Salerno via Giovanni Paolo II 132 84084 Fisciano (SA Italy
7 shared publications - Rejeb Hadiji
Laboratoire d’Analyse et de Mathématiques Appliquées (LAMA), Université Paris-Est Créteil, CNRS UMR 8050, UPEC, F-94010 Créteil, France
3 shared publications - A. K. Nandakumaran
Department of Mathematics, Indian Institute of Science, Bangalore, India
2 shared publications - Claudia Timofte
Faculty of Physics, University of Bucharest, Bucharest, Romania
2 shared publications
Latest Publications
- Open Access
- 5 October 2026
- Published by Elsevier in Nonlinear Analysis
- Vol. 275
On the homogenization of a Signorini-type problem in a domain with inclusions
- 5 October 2026
- Published by Elsevier in Nonlinear Analysis
- Vol. 275
Open AccessOn the homogenization of a Signorini-type problem in a domain with inclusions
- Open Access
- 12 June 2026
- Published by Elsevier in Nonlinear Analysis
- Vol. 272
Asymptotic behaviour of a nonlinear coupled system for uptake processes with metabolic competition phenomena
- 12 June 2026
- Published by Elsevier in Nonlinear Analysis
- Vol. 272
Open AccessAsymptotic behaviour of a nonlinear coupled system for uptake processes with metabolic competition phenomena
- Open Access
- 16 December 2025
- Published by Elsevier in Nonlinear Analysis: Real World Applications
- Vol. 91
Mathematical derivation and analysis of a mixture model of tumor growth
- 16 December 2025
- Published by Elsevier in Nonlinear Analysis: Real World Applications
- Vol. 91
Open AccessMathematical derivation and analysis of a mixture model of tumor growth
- Open Access
Effective thermal conduction of a Signorini-type problem in composites with rough interface
We analyse the effect of a Signorini-type interface condition on the asymptotic behaviour, as ε tends to zero, of a problem posed in an open bounded cylinder of {R^N}, {N\geq 2}, divided in two connected components by an imperfect rough surface. The Signorini-type condition is expressed by means of two complementary equalities involving the jump of the solution on the interface and its conormal derivative via a parameter γ. Different limit problems are obtained according to the values of γ and the amplitude of the interface oscillations.
Open AccessEffective thermal conduction of a Signorini-type problem in composites with rough interface
We analyse the effect of a Signorini-type interface condition on the asymptotic behaviour, as ε tends to zero, of a problem posed in an open bounded cylinder of {R^N}, {N\geq 2}, divided in two connected components by an imperfect rough surface. The Signorini-type condition is expressed by means of two complementary equalities involving the jump of the solution on the interface and its conormal derivative via a parameter γ. Different limit problems are obtained according to the values of γ and the amplitude of the interface oscillations.
- 22 April 2025
- Published by World Scientific Pub Co Pte Ltd in Analysis and Applications
- Vol. 24 (02) , 463-485
Homogenization of a nonlinear elliptic problem with imperfect rough interface
This paper deals with an elliptic problem with a nonlinear lower order term set in an open bounded cylinder of [ ], [ ], divided into two connected components by an imperfect rough interface. More precisely, we assume that at the interface the flux is continuous and proportional, via a nonlinear rule, to the jump of the solution. According to the amplitude of the interface oscillations and the proportionality coefficient, we derive different homogenized problems.
- 22 April 2025
- Published by World Scientific Pub Co Pte Ltd in Analysis and Applications
- Vol. 24 (02) , 463-485
Homogenization of a nonlinear elliptic problem with imperfect rough interface
This paper deals with an elliptic problem with a nonlinear lower order term set in an open bounded cylinder of [ ], [ ], divided into two connected components by an imperfect rough interface. More precisely, we assume that at the interface the flux is continuous and proportional, via a nonlinear rule, to the jump of the solution. According to the amplitude of the interface oscillations and the proportionality coefficient, we derive different homogenized problems.
- 29 March 2024
- Published by Springer Nature in Annali di Matematica Pura ed Applicata (1923 -)
- Vol. 203 (5) , 1-36
Nonlinear coupled system in thin domains with corrugated boundaries for metabolic processes
- 29 March 2024
- Published by Springer Nature in Annali di Matematica Pura ed Applicata (1923 -)
- Vol. 203 (5) , 1-36
Nonlinear coupled system in thin domains with corrugated boundaries for metabolic processes
- Open Access
Homogenization of a nonlinear elliptic problem with imperfect rough interface
This paper deals with an elliptic problem with a nonlinear lower order term set in an open bounded cylinder of $R^N$, $N\geq 2$, divided into two connected components by an imperfect rough interface. More precisely, we assume that at the interface the flux is continuous and proportional, via a nonlinear rule, to the jump of the solution. According to the amplitude of the interface oscillations and the proportionality coefficient, we derive different homogenized problems.Open AccessHomogenization of a nonlinear elliptic problem with imperfect rough interface
This paper deals with an elliptic problem with a nonlinear lower order term set in an open bounded cylinder of $R^N$, $N\geq 2$, divided into two connected components by an imperfect rough interface. More precisely, we assume that at the interface the flux is continuous and proportional, via a nonlinear rule, to the jump of the solution. According to the amplitude of the interface oscillations and the proportionality coefficient, we derive different homogenized problems. - 6 October 2023
- Published by Taylor & Francis in Applicable Analysis
- Vol. 103 (10) , 1757-1768
Optimal control problem stated in a locally periodic rough domain: a homogenization study
- 6 October 2023
- Published by Taylor & Francis in Applicable Analysis
- Vol. 103 (10) , 1757-1768
Optimal control problem stated in a locally periodic rough domain: a homogenization study
- Open AccessA Liouville type result and quantization effects on the system $-Δ u = u J'(1-|u|^{2})$ for a potential convex near zeroWe consider a Ginzburg-Landau type equation in $\R^2$ of the form $-\Delta u = u J'(1-|u|^{2})$ with a potential function $J$ satisfying weak conditions allowing for example a zero of infinite order in the origin. We extend in this context the results concerning quantization of finite potential solutions of H.Brezis, F.Merle, T.Rivi\`ere from \cite{BMR} who treat the case when $J$ behaves polinomially near 0, as well as a result of Th. Cazenave, found in the same reference, and concerning the form of finite energy solutions.Open AccessA Liouville type result and quantization effects on the system $-Δ u = u J'(1-|u|^{2})$ for a potential convex near zeroWe consider a Ginzburg-Landau type equation in $\R^2$ of the form $-\Delta u = u J'(1-|u|^{2})$ with a potential function $J$ satisfying weak conditions allowing for example a zero of infinite order in the origin. We extend in this context the results concerning quantization of finite potential solutions of H.Brezis, F.Merle, T.Rivi\`ere from \cite{BMR} who treat the case when $J$ behaves polinomially near 0, as well as a result of Th. Cazenave, found in the same reference, and concerning the form of finite energy solutions.
- Open Access
- 10 May 2022
- Published by Springer Nature in Applied Mathematics & Optimization
- Vol. 85 (3) , 1-33
Exact Internal Controllability for a Problem with Imperfect Interface
In this paper, we study the internal exact controllability for a second order linear evolution equation defined in a two-component domain. On the interface, we prescribe a jump of the solution proportional to the conormal derivatives, meanwhile a homogeneous Dirichlet condition is imposed on the exterior boundary. Due to the geometry of the domain, we apply controls through two regions which are neighborhoods of a part of the external boundary and of the whole interface, respectively. Our approach to internal exact controllability consists in proving an observability inequality by using the Lagrange multipliers method. Eventually, we apply the Hilbert Uniqueness Method, introduced by Lions, which leads to the construction of the exact control through the solution of an adjoint problem. Finally, we find a lower bound for the control time depending not only on the geometry of our domain and on the matrix of coefficients of our problem but also on the coefficient of proportionality of the jump with respect to the conormal derivatives.
- 10 May 2022
- Published by Springer Nature in Applied Mathematics & Optimization
- Vol. 85 (3) , 1-33
Open AccessExact Internal Controllability for a Problem with Imperfect Interface
In this paper, we study the internal exact controllability for a second order linear evolution equation defined in a two-component domain. On the interface, we prescribe a jump of the solution proportional to the conormal derivatives, meanwhile a homogeneous Dirichlet condition is imposed on the exterior boundary. Due to the geometry of the domain, we apply controls through two regions which are neighborhoods of a part of the external boundary and of the whole interface, respectively. Our approach to internal exact controllability consists in proving an observability inequality by using the Lagrange multipliers method. Eventually, we apply the Hilbert Uniqueness Method, introduced by Lions, which leads to the construction of the exact control through the solution of an adjoint problem. Finally, we find a lower bound for the control time depending not only on the geometry of our domain and on the matrix of coefficients of our problem but also on the coefficient of proportionality of the jump with respect to the conormal derivatives.