Results 31 to 40 of about 748,632 (287)

Hamiltonian elliptic system involving nonlinearities with supercritical exponential growth

AIMS Mathematics, 2023
In this paper, we deal with the existence of nontrivial solutions to the following class of strongly coupled Hamiltonian systems: $ \begin{equation*} \quad \left\{ \begin{array}{rclll} -{\rm div} \big(w(x)\nabla u\big) \ = \ g(x,v),&\ & x ...
Yony Raúl Santaria Leuyacc
doaj   +1 more source

Integrable Systems and Metrics of Constant Curvature [PDF]

, 2001
In this article we present a Lagrangian representation for evolutionary systems with a Hamiltonian structure determined by a differential-geometric Poisson bracket of the first order associated with metrics of constant curvature. Kaup-Boussinesq system has three local Hamiltonian structures and one nonlocal Hamiltonian structure associated with metric ...
arxiv   +1 more source

A large‐scale retrospective study in metastatic breast cancer patients using circulating tumour DNA and machine learning to predict treatment outcome and progression‐free survival

Molecular Oncology, EarlyView.
There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes, Mario Ortega Duran, Solon Karapanagiotis, Alistair Martin, Meiling Gao, Riccardo Masina, Ramona Woitek, James Tanner, Fleur Tippin, Justine Kane, Jonathan Lay, Anja Brouwer, Stephen‐John Sammut, Suet‐Feung Chin, Davina Gale, Dana W. Y. Tsui, Sarah‐Jane Dawson, Nitzan Rosenfeld, Maurizio Callari, Oscar M. Rueda, Carlos Caldas   +20 more
wiley   +1 more source

Homoclinics for strongly indefinite almost periodic second order Hamiltonian systems

Advances in Nonlinear Analysis, 2017
Under certain assumptions, we prove the existence of homoclinic solutions for almost periodic second order Hamiltonian systems in the strongly indefinite case.
Pankov Alexander
doaj   +1 more source

Consolidate Overview of Ribonucleic Acid Molecular Dynamics: From Molecular Movements to Material Innovations

Advanced Engineering Materials, EarlyView.
Molecular dynamics simulations are advancing the study of ribonucleic acid (RNA) and RNA‐conjugated molecules. These developments include improvements in force fields, long‐timescale dynamics, and coarse‐grained models, addressing limitations and refining methods.
Kanchan Yadav, Iksoo Jang, Jong Bum Lee
wiley   +1 more source

Generalizing Hamiltonian Mechanics with Closed Differential Forms [PDF]

N. Duignan and N. Sato, Journal of Geometry and Physics 211, 105438 (2025)
Classical Hamiltonian mechanics, characterized by a single conserved Hamiltonian (energy) and symplectic geometry, `hides' other invariants into symmetries of the Hamiltonian or into the kernel of the Poisson tensor. Nambu mechanics aims to generalize classical Hamiltonian mechanics to ideal dynamical systems bearing two Hamiltonians, but its ...
arxiv   +1 more source

Predicting 2D Crystal Packing in Thin Films of Small Molecule Organic Materials

Advanced Functional Materials, EarlyView.
A computational method is proposed for predicting the 2D molecular packing in crystalline thin films of flexible organic molecules. The approach employs a grid search for molecular arrangements, achieving accurate predictions of 2D packing motifs with strongly reduced computational costs.
Alexey O. Gudovannyy, Julia M. Schäfer, Olga Gerdes, Dirk Hildebrandt, Gunter Mattersteig, Martin Pfeiffer, Frank Ortmann   +6 more
wiley   +1 more source

Ultra‐Effective Light‐Activated Antibacterial Activity via Carboxyl Functionalized Graphene Quantum Dots and Films

Advanced Functional Materials, EarlyView.
Carboxyl‐functionalized graphene quantum dots (cGQDs) exhibit high singlet oxygen quantum yield due to strong spin–orbit coupling. cGQDs achieve minimum bactericidal concentration of only 0.4 µg mL−1 against S. aureus under low‐intensity illumination.
Muhammad Hassnain, Laure S. van Hofwegen, Humeyra Nur Kaleli, Temirlan Kubanaliev, Zafer Eroglu, Asim Onal, Payal P. S. Balraadjsing, Onder Metin, Fahri Alkan, Sebastian A. J. Zaat, Sedat Nizamoglu   +10 more
wiley   +1 more source

Topological Invariant of Integrable Hamiltonian System on Cone Located in a Potential Field

پژوهش‌های ریاضی, 2020
The theory of topological classification of integrable Hamiltonian systems with two degrees of freedom due to Fomenko and his school‎. ‎On the basis of this theory we give a topological Liouville classification of the integrable Hamiltonian systems with ...
Ghorbanali Haghiighatdoost,
doaj  

Spatial dynamics in the family of sixth-order differential equations from the theory of partial formation [PDF]

Известия высших учебных заведений: Прикладная нелинейная динамика
Topic of the paper. Bounded stationary (i.e. independent in time) spatially one-dimensional solutions of a quasilinear parabolic PDE are studied on the whole real line.
Kulagin, Nikolaj Evgenevich, Lerman, Lev Mikhailovich   +1 more
doaj   +1 more source