Results 91 to 100 of about 18,923 (199)
Singular limit of Allen-Cahn equation with constraints and its Lagrange multiplier [PDF]
, 2014 We consider the Allen-Cahn equation with constraint. Our constraint is the subdifferential of the indicator function on the closed interval, which is the multivalued function.
Yamazaki, Noriaki +5 more
core +1 more source
Solid Mechanics Segregated Solver Acceleration With Jacobian‐Free Newton‐Krylov
International Journal for Numerical Methods in Engineering, Volume 127, Issue 11, 15 June 2026.ABSTRACT The segregated algorithm is a common approach for finite volumes solvers in solid mechanics, providing a memory‐efficient and straightforward implementation. Due to the inter‐coupling of the components through the source terms, it suffers from a slow convergence behavior in specific scenarios, such as geometries with significantly uneven ...
Andry Monlon +5 more
wiley +1 more source
Deformation minimal bending of compact manifolds: case of simple closed curves [PDF]
Opuscula Mathematica, 2008 The problem of minimal distortion bending of smooth compact embedded connected Riemannian \(n\)-manifolds \(M\) and \(N\) without boundary is made precise by defining a deformation energy functional \(\Phi\) on the set of diffeomorphisms \(\text{Diff}(M ...
Oksana Bihun, Carmen Chicone
doaj
Passive Shape‐Adaptive Fluidic Interface for Enhanced Skin‐Sensor Coupling in Wearable Devices
Advanced Materials Technologies, Volume 11, Issue 11, 5 June 2026.This study presents a passive fluidic interface for wearable biosensors that adapts to static and dynamic body shape changes to maintain consistent skin contact. Flexible, fluid‐filled pouches redistribute pressure from high‐load areas to regions requiring improved contact, enhancing signal quality and comfort in a compact, low‐energy design for ...
Natalia Sanchez‐Tamayo +6 more
wiley +1 more source
, 2009 For a class of functionals of the Calculus of variations, we prove that each minimum of the functional satisfies the associated Euler-Lagrange equation.
Marzocchi, Marco, Degiovanni, Marco
core +1 more source
On the Meaning of Localization in Non‐Local Quantum Field Theory
Annalen der Physik, Volume 538, Issue 6, June 2026.In non‐local quantum field theory nature does not necessarily allow objects or events to be localized to exact mathematical points. Instead any physical measurement has a built‐in finite resolution set by the non‐locality scale. Spacetime remains continuous and Lorentz‐covariant, but below this scale pointlike localization becomes an idealization ...
E. J. Thompson
wiley +1 more source
Solution of the KdV equation with fractional time derivative via variational method
Electronic Journal of Differential Equations, 2014 This article presents a formulation of the time-fractional generalized Korteweg-de Vries (KdV) equation using the Euler-Lagrange variational technique in the Riemann-Liouville derivative sense. It finds an approximate solitary wave solution, and shows
Youwei Zhang
doaj
Work Versus Force: Simultaneous Processes for Describing Interactions
Advanced Physics Research, Volume 5, Issue 6, June 2026.ABSTRACT Achieving a unified description of interactions remains an open challenge in theoretical physics, which currently describes four fundamental forces. This situation may be viewed differently when interactions are formulated in terms of processes (work as actio) rather than forces (force as actio), not only at the macroscopic level but also at ...
Grit Kalies +2 more
wiley +1 more source
Euler- Lagrange Equation for Fractional Variational Problems
, 2017 This thesis introduces three new operators and presents some of their properties. It defines a new class of variational problems in terms of these operators and derives Euler-Lagrange equations for this class of problems.
Diriba, Hailu Daba
core
A Hybrid Semi‐Inverse Variational and Machine Learning Approach for the Schrödinger Equation
Advanced Physics Research, Volume 5, Issue 6, June 2026.A hybrid semi‐inverse variational and machine‐learning framework is presented for solving the Schrödinger equation with complex quantum potentials. Physics‐based variational solutions generate high‐quality training data, enabling Random Forest and Neural Network models to deliver near‐perfect energy predictions.
Khalid Reggab +5 more
wiley +1 more source