Stable blow up dynamics for energy supercritical wave equations
Graph Chatbot
Chat with Graph Search
Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.
DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.
This paper presents a closed-form approach to obstacle avoidance for multiple moving convex and star-shaped concave obstacles. The method takes inspiration in harmonic-potential fields. It inherits the convergence properties of harmonic potentials. We prov ...
The Swiss habitat – buildings and related mobility – is facing multiple wicked problems that can only be solved together, such as excessive energy and climate impact, high material use with low circularity, accelerating urban sprawl and ecosystem destructi ...
Energy Geotechnics includes several applications related to the recovery and storage of energy from and into the ground, energy transportation, and the management of waste and carbon dioxide generated from energy use. These applications often involve the n ...
Jammed, disordered packings of given sets of particles possess a multitude of equilibrium states with different mechanical properties. Identifying and constructing desired states, e.g., of superior stability, is a complex task. Here, we show that in two-di ...
We prove the semi-global controllability and stabilization of the (1+1)−dimensional wave maps equation with spatial domain 𝕊1 and target Sk. First we show that damping stabilizes the system when the energy is strictly below the threshold 2π, where ha ...
Geomechanics is advancing our understanding of the multi-physical processes encountered in engineering practices involving energy storage and production and environmental protection for which the characterization of the behavior of relevant materials is es ...
The transition towards decarbonized and efficient energy systems has broad socio-economic implications. We estimate the potential impacts on employment from efforts in energy efficiency in industry, transport and buildings as well as substituting local ren ...
The planning support system URBio is demonstrated via two case studies. Both case studies are located in the canton of Geneva. The first case study is a greenfield planning project, where the goal is to build a new district on former agricultural land. The ...
We provide a process on the space of collections of coalescing cadlag stable paths and show convergence in an appropriate topology for coalescing stable random walks on the integer lattice. ...
Several useful variance-reduced stochastic gradient algorithms, such as SVRG, SAGA, Finito, and SAG, have been proposed to minimize empirical risks with linear convergence properties to the exact minimizers. The existing convergence results assume uniform ...