Boundary unique continuation in planar domains by conformal mapping
Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
wiley +1 more source
Are physiological oscillations physiological?
Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley +1 more source
Quantum Time‐Marching Algorithms for Solving Linear Transport Problems Including Boundary Conditions
ABSTRACT This article presents the first complete application of a quantum time‐marching algorithm for simulating multidimensional linear transport phenomena with arbitrary boundaries, whereby the success probabilities are problem intrinsic. The method adapts the linear combination of unitaries algorithm to block encode the diffusive dynamics, while ...
Sergio Bengoechea +2 more
wiley +1 more source
Stochastic Optimization of Non‐Convex Component Solution Spaces
ABSTRACT In systems engineering, solution spaces provide a practical way to reconcile competing goals by working with sets of good designs instead of point‐based solutions. Earlier contributions, however, were restricted either by limiting the dimensionality per component or, more recently, by constraining these spaces to be convex, which can, in some ...
Eduardo Rodrigues Della Noce +1 more
wiley +1 more source
Robust Inverse Material Design With Physical Guarantees Using the Voigt‐Reuss Net
ABSTRACT We apply the Voigt‐Reuss net, a spectrally normalized neural surrogate introduced in [38], for forward and inverse mechanical homogenization with a key guarantee that all predicted effective stiffness tensors satisfy Voigt‐Reuss bounds in the Löwner sense during training, inference, and gradient‐driven optimization.
Sanath Keshav, Felix Fritzen
wiley +1 more source
A fast, accurate and oscillation-free spectral collocation solver for high-dimensional transport problems. [PDF]
Cavallini N +3 more
europepmc +1 more source
NeuberNet: a neural operator solving elastic-plastic partial differential equations at V-notches from low-fidelity elastic simulations. [PDF]
Grossi T, Beghini M, Benedetti M.
europepmc +1 more source
Physics-informed neural networks for physiological signal processing and modeling: a narrative review. [PDF]
Zhao A, Fattahi D, Hu X.
europepmc +1 more source
Active control of flexible spacecraft in orbit based on partial differential equations. [PDF]
Zhang B, Wen M.
europepmc +1 more source
Learning structured population models from data with WSINDy. [PDF]
Lyons R, Dukic V, Bortz DM.
europepmc +1 more source

