Results 91 to 100 of about 445,110 (284)
Boundaries of Graphs of Harmonic Functions
Harmonic functions u: R^n → R^m are equivalent to integral manifolds of an exterior differential system with independence condition (M,I,ω). To this system one associates the space of conservation laws C. They provide necessary conditions for g: S^{n–1} →
Daniel Fox
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High-Frequency Electromagnetic Emission from Non-Local Wavefunctions
In systems with non-local potentials or other kinds of non-locality, the Landauer-Büttiker formula of quantum transport leads to replacing the usual gauge-invariant current density J
Giovanni Modanese
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Traveling waves of a non-local conservation law
We consider traveling waves related to shocks for a non-local scalar conservation law \[ u_{t}+(f(u))_{x}=K\ast u-u, \] where $f$ is an arbitrary convex function, $K\ast u$ stands for the convolution in the spatial variable $x$, and $K$ is an arbitrary non-negative kernel with unit mass centered at the origin. Given a pair of values at $\pm\infty$ with
Chen, Xinfu, Jiang, Huiqiang
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Hydrogen incorporation in palladium is directly probed using in situ ambient‐pressure hard X‐ray photoelectron spectroscopy under realistic, application‐relevant conditions. Correlated structural, spectroscopic, and theoretical analysis reveals how hydrogen loading modifies structure, electronic structure, and metal‐hydrogen bonding, resolving long ...
Lars J. Bannenberg +8 more
wiley +1 more source
Time in Quantum Mechanics and the Local Non-Conservation of the Probability Current
In relativistic quantum field theory with local interactions, charge is locally conserved. This implies local conservation of probability for the Dirac and Klein–Gordon wavefunctions, as special cases; and in turn for non-relativistic quantum field
Giovanni Modanese
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Backward error analysis for multisymplectic discretizations of Hamiltonian PDEs
Several recently developed multisymplectic schemes for Hamiltonian PDEs have been shown to preserve associated local conservation laws and constraints very well in long time numerical simulations.
Islas, Alvaro L., Schober, Constance M.
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Physics‐Embedded Neural Network: A Novel Approach to Design Polymeric Materials
Traditional black‐box models for polymer mechanics rely solely on data and lack physical interpretability. This work presents a physics‐embedded neural network (PENN) that integrates constitutive equations into machine learning. The approach ensures reliable stress predictions, provides interpretable parameters, and enables performance‐driven, inverse ...
Siqi Zhan +8 more
wiley +1 more source
A non-conservative, non-local approximation of the Burgers equation
The analysis of non-local regularisations of scalar conservation laws is an active research program. Applications of such equations are found in modelling physical phenomena, such as traffic flow.
Shyam Sundar Ghoshal +2 more
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Wildlife conservation often leads to various conflicts with other human activities, resulting in concerns about the justice of conservation. Although species' protection – notably of large carnivores – can have negative consequences for economic ...
Yennie K. Bredin +2 more
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Using methods of math.DG/0304245 and [I.S.Krasil'shchik and P.H.M.Kersten, Symmetries and recursion operators for classical and supersymmetric differential equations, Kluwer, 2000], we accomplish an extensive study of the N=1 supersymmetric Korteweg-de ...
A Verbovetsky +19 more
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