Results 61 to 70 of about 2,031,552 (294)
In this article, we construct the traveling wave and elliptic function solutions of some special nonlinear evolution equations which are arising in mathematical physics, solid-state physics, fluid flow, fluid dynamics, nonlinear optics, electromagnetic ...
Dianchen Lu +2 more
doaj +1 more source
This study addresses the free vibration analysis of nonlinear structural-acoustic system with non-rigid boundaries. In practice, the boundaries of a panel–cavity system are usually imperfectly rigid.
Yiu-yin Lee
doaj +1 more source
A Symmetrization Result for Nonlinear Elliptic Equations
The authors consider the following problem \[ -\Delta_pu=c|u|^{p-2}u+f\text{ in }\Omega\qquad u=0\text{ on }\partial\Omega,\tag{1} \] where \(\Delta_p\) is the \(p\)-Laplacian operator, \(p>1\), and \(c,f\) are bounded given functions. Under some natural assumptions on the data of (1), the authors prove that the rearrangement of \(u\) can be estimated ...
FERONE, VINCENZO, MESSANO, BASILIO
openaire +5 more sources
Spectral properties of non-local uniformly-elliptic operators [PDF]
In this paper we consider the spectral properties of a class of non-local uniformly elliptic operators, which arise from the study of non-local uniformly elliptic partial differential equations. Such equations arise naturally in the study of a variety of
Niall Dodds +3 more
core
Upscaling Pulsed Laser Fragmentation in Liquids by Advanced Free‐Flow Setups
Advanced flow setups providing thin colloid films are introduced to upscale pulsed laser fragmentation in liquids for sustainable nanoparticle synthesis. Their potential is demonstrated by yielding remarkably small ZnO nanoparticles of <7 nm. Numerical simulations complement the study, revealing that the superior performance can be attributed to ...
Jan Lino Kricke +5 more
wiley +1 more source
Genetic programming approaches for solving elliptic partial differential equations
In this paper, we propose a technique based on genetic programming (GP) for meshfree solution of elliptic partial differential equations. We employ the least-squares collocation principle to define an appropriate objective function, which is optimized ...
Sobester, A. +5 more
core +1 more source
Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics
The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet +8 more
wiley +1 more source
In this work three recently introduced (3 + 1)-dimensional nonlinear modified Benjamin-Bona-Mahony equations are studied from the modern group-theoretical analysis standpoint.
Chaudry Masood Khalique +1 more
doaj +1 more source
Optimized Schwarz methods for Maxwell's equations [PDF]
Over the last two decades, classical Schwarz methods have been extended to systems of hyperbolic partial differential equations, using characteristic transmission conditions, and it has been observed that the classical Schwarz method can be convergent ...
Dolean Maini, Victorita +6 more
core +1 more source
ABSTRACT Methane's efficient catalytic removal is vital for sustainable development. Bimetallic catalysts, though promising for methane activation, pose a design challenge due to their complex compositional space. This work introduces an integrated framework that combines high‐throughput density functional theory (DFT) and interpretable machine ...
Mingzhang Pan +8 more
wiley +1 more source

