Concept
Équation de Laplace
Publications associées (70)
Shape Holomorphy of Boundary Integral Operators on Multiple Open Arcs
Fernando José Henriquez Barraza
We establish shape holomorphy results for general weakly- and hyper-singular boundary integral operators arising from second-order partial differential equations in unbounded two-dimensional domains with multiple finite-length open arcs. After recasting th ...
New York2024Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems
We present outlier-free isogeometric Galerkin discretizations of eigenvalue problems related to the biharmonic and the polyharmonic operator in the univariate setting. These are Galerkin discretizations in certain spline subspaces that provide accurate app ...
Lausanne2023Global controllability and stabilization of the wave Maps equation from a circle to a sphere
Joachim Krieger, Shengquan Xiang
Continuing the investigations started in the recent work [12] on semi-global controllability and stabilization of the (1+1)-dimensional wave maps equation with spatial domain and target , where semi-global refers to the -energy bound, we prov ...
2023Semi-global controllability of a geometric wave equation
Joachim Krieger, Shengquan Xiang
We prove the semi-global controllability and stabilization of the dimensional wave maps equation with spatial domain 𝕊1 and target . First we show that damping stabilizes the system when the energy is strictly below the threshold , where ha ...
2022Fredholm transformation on Laplacian and rapid stabilization for the heat equation
We study the rapid stabilization of the heat equation on the 1-dimensional torus using the backstepping method with a Fredholm transformation. This classical framework allows us to present the backstepping method with Fredholm transformations for the Lapla ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2022Unraveling looping efficiency of stochastic Cosserat polymers
Understanding looping probabilities, including the particular case of ring closure or cyclization, of fluctuating polymers (e.g., DNA) is important in many applications in molecular biology and chemistry. In a continuum limit the configuration of a polymer ...
AMER PHYSICAL SOC2022Efficient Meso-Scale Modeling of Alkali-Silica-Reaction Damage in Concrete
The alkali-silica reaction (ASR), also known as concrete cancer, is one of the most prevalent causes of concrete degradation. In this chemical reaction, amorphous silica in the aggregates reacts with alkalis in the pore solution. By absorbing water, hydrop ...
EPFL2022