Finite element methods for Maxwell's equations.

nonlinear functional analysis and its applications is available in our book collection an online access to it is set as public so you can get it instantly. Our books collection hosts in multiple countries, allowing you to get the most less latency time to download any of our books like this one. Merely said, the nonlinear functional analysis and its applications is universally compatible with any devices to read.

Nonlinear Functional Analysis And Its Applications

Existence, uniqueness and regularity results on nonlocal balance laws

https://hal.archives-ouvertes.fr/hal-02401468/document

Direct shape optimization through deep reinforcement learning

Deep Reinforcement Learning (DRL) has recently spread into a range of domains within physics and engineering, with multiple remarkable achievements. Still, much remains to be explored before the capabilities of these methods are well understood. In this paper, we present the first application of DRL to direct shape optimization. We show that, given adequate reward, an artificial neural network trained through DRL is able to generate optimal shapes on its own, without any prior knowledge and in a constrained time. While we choose here to apply this methodology to aerodynamics, the optimization process itself is agnostic to details of the use case, and thus our work paves the way to new generic shape optimization strategies both in fluid mechanics, and more generally in any domain where a relevant reward function can be defined.

Existence, uniqueness and regularity of multi-dimensional nonlocal balance laws with damping

We consider a nonlocal conservation law on a bounded spatial domain and show existence and uniqueness of weak solutions for nonnegative flux function and left-hand-side boundary datum. The nonlocal...

Nonlocal Scalar Conservation Laws on Bounded Domains and Applications in Traffic Flow

Properties of nanoparticles are influenced by various parameters like size, shape or composition. Comprehensive high throughput characterization techniques are urgently needed to improve synthesis, scale up to production and make way for new applications of multidimensional particulate systems. In this study, we present a method for measuring two-dimensional size distributions of plasmonic nanorods in a single experiment. Analytical ultracentrifuge equipped with a multiwavelength extinction detector is used to record the optical and sedimentation properties of gold nanorods simultaneously. A combination of sedimentation and extinction properties, both depending on diameter and length of the dispersed nanorods, is used to measure two-dimensional distributions of gold nanorod samples. The length, diameter, aspect ratio, volume, surface and cross-sectional distributions can be readily obtained from these results. As the technique can be extended to other non-spherical plasmonic particles and can be used for determining relative amounts of particles of different shapes it provides complete and quantitative insights into particulate systems. Characterization of nanoparticles is a complex and important problem for the vast number of applications that require them. Here, the authors present a method to uncover the two-dimensional distribution of length and diameter of anisotropic nanoparticles like gold nanorods with a single measurement by combining spectroscopic and sedimentation data.

/pdf/determination-of-the-two-dimensional-distributions-of-gold-2fvwphus3v.pdf

Lukas Pflug

Papers

Existence, uniqueness and regularity results on nonlocal balance laws

Existence, uniqueness and regularity of multi-dimensional nonlocal balance laws with damping

Nonlocal Scalar Conservation Laws on Bounded Domains and Applications in Traffic Flow

Determination of the two-dimensional distributions of gold nanorods by multiwavelength analytical ultracentrifugation

On approximation of local conservation laws by nonlocal conservation laws