Results 131 to 140 of about 3,339,817 (343)
Communications on Pure and Applied Mathematics, EarlyView.Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley +1 more source
arXiv, 2018 We present an unsupervised approach for discovering semantic representations of mathematical equations. Equations are challenging to analyze because each is unique, or nearly unique. Our method, which we call equation embeddings, finds good representations of equations by using the representations of their surrounding words. We used equation embeddings
arxiv
Photooxygenation Reactions of Olefins Under Flow Conditions: An Experimental and In‐Silico Study
ChemPhotoChem, EarlyView.This study focuses on the setup and validation of the oxygenation reaction of alkenes to 1,2‐dioxetanes and hydroperoxides by a LED‐driven flow chemistry approach. An in‐silico a model was trained on reaction data that can tailor a specific chemical scope through fine‐tuning.
Giada Moroni +5 more
wiley +1 more source
Regularized solutions for some backward nonlinear parabolic equations with statistical data [PDF]
arXiv, 2017 In this paper, we study the backward problem of determining initial condition for some class of nonlinear parabolic equations in multidimensional domain where data are given under random noise. This problem is ill-posed, i.e., the solution does not depend continuously on the data.
arxiv
Acceptable Solutions and Boundary Conditions for the Schrödinger and Dirac Equations [PDF]
, 1963 Baxter H. Armstrong, Edwin A. Power
openalex +1 more source
Electrochemical Three‐component Synthesis of Alkenesulfonates from Cinnamic Acids, SO2, and Alcohols
ChemSusChem, EarlyView.An electrochemical three‐component synthesis of alkyl alkenesulfonates from cinnamic acids, SO2, and alkyl alcohols is reported. This metal‐free process employs inexpensive and readily available graphite electrodes in combination with easy‐to‐use stock solutions of SO2 and enables a straightforward decarboxylative preparation of styrene sulfonates via ...
Po‐Chung Chien +4 more
wiley +1 more source
Generalised probabilistic theories in a new light
IET Quantum Communication, Volume 3, Issue 4, Page 229-254, December 2022., 2022 Abstract In this paper, a modified formulation of generalised probabilistic theories that will always give rise to the structure of Hilbert space of quantum mechanics, in any finite outcome space, is presented and the guidelines to how to extend this work to infinite dimensional Hilbert spaces are given.
Raed Shaiia
wiley +1 more source
Algebraic Approaches to Partial Differential Equations [PDF]
arXiv, 2012 Partial differential equations are fundamental tools in mathematics,sciences and engineering. This book is mainly an exposition of the various algebraic techniques of solving partial differential equations for exact solutions developed by the author in recent years, with emphasis on physical equations such as: the Calogero-Sutherland model of quantum ...
arxiv
An accurate and efficient scheme for propagating the time dependent Schrödinger equation
, 1984 A new propagation scheme for the time dependent Schrodinger equation is based on a Chebychev polynomial expansion of the evolution operator U=exp(−iHt).
H. Tal-Ezer, R. Kosloff
semanticscholar +1 more source
Ionization Potential Depression and Fermi Barrier in Warm Dense Matter: A First‐Principles Approach
Contributions to Plasma Physics, EarlyView.ABSTRACT Ionization potential depression (IPD) is of crucial importance to understand and accurately predict the properties of dense, partially ionized plasmas. Many models of IPD have been developed that, however, exhibit largely varying results. Recently, a novel approach was proposed that is based on first‐principles quantum Monte Carlo simulations ...
Michael Bonitz, Linda Kordts
wiley +1 more source