74 citations · 218 across the 35 of their papers we have counts for
41 papers
Well-posedness, regularity and stability for linear Maxwell's equations with interface damping
Julian Dörner, Serge Nicaise, Roland Schnaubelt
We study linear Maxwell's equations on a cuboid that is split into two parts by a planar interface, across which the tangential magnetic field jumps proportionally to the tangentia…
Stability Results for Novel Serially-connected Magnetizable Piezoelectric and Elastic Smart-System Designs
Mohammad Akil, Serge Nicaise, Ahmet Özkan Özer +1
In this paper, the stability of longitudinal vibrations for transmission problems of two smart-system designs are studied: (i) a serially-connected Elastic-Piezoelectric-Elastic de…
Stability results of locally coupled wave equations with local Kelvin-Voigt damping: Cases when the supports of damping and coupling coefficients are disjoint
Mohammad Akil, Haidar Badawi, Serge Nicaise
In this paper, we study the direct/indirect stability of locally coupled wave equations with local Kelvin-Voigt dampings/damping and by assuming that the supports of the dampings a…
Stabilization of coupled wave equations with viscous damping on cylindrical and non-regular domains: Cases without the geometric control condition
Mohammad Akil, Haidar Badawi, Serge Nicaise +1
In this paper, we investigate the direct and indirect stability of locally coupled wave equations with local viscous damping on cylindrical and non-regular domains without any geom…
Stability properties of dissipative evolution equations with nonautonomous and nonlinear damping
Serge Nicaise
In this paper, we obtain some stability results of (abstract) dissipative evolution equations with a nonautonomous and nonlinear damping using the exponential stability of the retr…
On the stability of Bresse system with one discontinuous local internal Kelvin-Voigt damping on the axial force
Mohammad Akil, Haidar Badawi, Serge Nicaise +1
In this paper, we investigate the stabilization of a linear Bresse system with one discontinuous local internal viscoelastic damping of Kelvin-Voigt type acting on the axial force,…
Stability results of coupled wave models with locally memory in a past history framework via non smooth coefficients on the interface
Mohammad Akil, Haidar Badawi, Serge Nicaise +1
In this paper, we investigate the stabilization of a locally coupled wave equations with local viscoelastic damping of past history type acting only in one equation via non smooth…
Bifurcation analysis of a coupled system between a transport equation and an ordinary differential equation with time delay
Serge Nicaise, Alessandro Paolucci, Cristina Pignotti
In this paper we analyze a coupled system between a transport equation and an ordinary differential equation with time delay (which is a simplified version of a model for kidney bl…
Dynamic Transmission Conditions for Linear Hyperbolic Systems on Networks
Marjeta Kramar Fijavž, Delio Mugnolo, Serge Nicaise
We study evolution equations on networks that can be modeled by means of hyperbolic systems. We extend our previous findings in \cite{KraMugNic20} by discussing well-posedness unde…
Linear Hyperbolic Systems on Networks
Marjeta Kramar Fijavž, Delio Mugnolo, Serge Nicaise
We study hyperbolic systems of one-dimensional partial differential equations under general, possibly non-local boundary conditions. A large class of evolution equations, either on…
Regularity of the solution of the scalar Signorini problem in polygonal domains
Thomas Apel, Serge Nicaise
The Signorini problem for the Laplace operator is considered in a general polygonal domain. It is proved that the coincidence set consists of a finite number of boundary parts plus…
Asymptotic behavior of dispersive electromagnetic waves in bounded domains
Serge Nicaise, Cristina Pignotti
We analyze the stability of Maxwell equations in bounded domains taking into account electric and magnetization effects. Well-posedness of the model is obtained by means of semigro…
Nonlocal homogenisation theory for curl-div-systems
Serge Nicaise, Marcus Waurick
We study the curl-div-system with variable coefficients and a nonlocal homogenisation problem associated with it. Using, in part refining, techniques from nonlocal -convergence…
Well-posedness and stability results for nonlinear abstract evolution equations with time delays
Serge Nicaise, Cristina Pignotti
We consider abstract evolution equations with a nonlinear term depending on the state and on delayed states. We show that, if the -semigroup describing the linear part of the…
Spectral analysis of a generalized buckling problem on a ball
Colette De Coster, Serge Nicaise, Christophe Troestler
In this paper, the spectrum of the following fourth order problem \begin{equation*} \begin{cases} Δ^2 u+νu=-λΔu &\text{in } D_1,\newline u=\partial_r u= 0 &\text{on } \partial D_1,…
Regularity and a priori error analysis of a Ventcel problem in polyhedral domains
Serge Nicaise, Hengguang Li, Anna Mazzucato
We consider the regularity of a mixed boundary value problem for the Laplace operator on a polyhedral domain, where Ventcel boundary conditions are imposed on one face of the polyh…
Adapted numerical methods for the numerical solution of the Poisson equation with boundary data in non-convex domains
Thomas Apel, Serge Nicaise, Johannes Pfefferer
The very weak solution of the Poisson equation with boundary data is defined by the method of transposition. The finite element solution with regularized boundary data conver…
Dispersive effects for the Schrödinger equation on a tadpole graph
Felix Ali Mehmeti, Kaïs Ammari, Serge Nicaise
We consider the free Schrödinger group on a tadpole graph . We first show that the time decay estimates $L^1 ({\mathcal R}) \rightarrow L^\…
A dual singular complement method for the numerical solution of the Poisson equation with boundary data in non-convex domains
Thomas Apel, Serge Nicaise, Johannes Pfefferer
The very weak solution of the Poisson equation with boundary data is defined by the method of transposition. The finite element solution with regularized boundary data conver…
Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains
Thomas Apel, Serge Nicaise, Johannes Pfefferer
Several approaches are discussed how to understand the solution of the Dirichlet problem for the Poisson equation when the Dirichlet data are non-smooth such as if they are in $L^2…
The BEM with graded meshes for the electric field integral equation on polyhedral surfaces
Alex Bespalov, Serge Nicaise
We consider the variational formulation of the electric field integral equation on a Lipschitz polyhedral surface . We study the Galerkin boundary element discretisations based…
Nodal properties of eigenfunctions of a generalized buckling problem on balls
Colette De Coster, Serge Nicaise, Christophe Troestler
In this paper we are interested in the following fourth order eigenvalue problem coming from the buckling of thin films on liquid substrates: \begin{equation*} \begin{cases} Δ^2 u+…
Stability of an abstract-wave equation with delay and a Kelvin-Voigt damping
Kais Ammari, Serge Nicaise, Cristina Pignotti
In this paper we consider a stabilization problem for the abstract-wave equation with delay. We prove an exponential stability result for appropriate damping coefficient. The proof…
Exponential stability of abstract evolution equations with time delay
Serge Nicaise, Cristina Pignotti
We consider abstract semilinear evolution equations with a time delay feedback. We show that, if the -semigroup describing the linear part of the model is exponentially stable…