Results 11 to 20 of about 2,937 (188)

On the positivity of solutions of systems of stochastic PDEs [PDF]

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2012
AbstractWe study the positivity of solutions of a class of semi‐linear parabolic systems of stochastic partial differential equations by considering random approximations. For the family of random approximations we derive explicit necessary and sufficient conditions such that the solutions preserve positivity.
J. Cresson, M. Efendiev, Stefanie Sonner
openaire   +2 more sources

Fourier Transform on the Homogeneous Space of 3D Positions and Orientations for Exact Solutions to Linear PDEs [PDF]

Entropy, 2019
Fokker–Planck PDEs (including diffusions) for stable Lévy processes (including Wiener processes) on the joint space of positions and orientations play a major role in mechanics, robotics, image analysis, directional statistics and probability theory.
Remco Duits, Erik J. Bekkers, Alexey Mashtakov   +2 more
openaire   +6 more sources

Symmetry And Monotonicity Properties For Positive Solutions Of Semi-Linear Elliptic PDE'S [PDF]

Communications in Partial Differential Equations, 2000
(2000). Symmetry And Monotonicity Properties For Positive Solutions Of Semi-Linear Elliptic PDE'S. Communications in Partial Differential Equations: Vol. 25, No. 5-6, pp. 1153-1169.
Dolbeault, Jean, Felmer, Patricio
openaire   +4 more sources

Existence and multiplicity of positive solutions for classes of singular elliptic PDEs

Journal of Mathematical Analysis and Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chhetri, Maya, Robinson, Stephen B.
openaire   +2 more sources

Non-existence of positive stationary solutions for a class of semi-linear PDEs with random coefficients

Networks & Heterogeneous Media, 2010
We consider a so-called random obstacle model for the motion of a hypersurface through a field of random obstacles, driven by a constant driving field. The resulting semi-linear parabolic PDE with random coefficients does not admit a global nonnegative stationary solution, which implies that an interface that was flat originally cannot get stationary ...
Coville, Jérôme, Dirr, Nicolas, Luckhaus, Stephan   +2 more
openaire   +3 more sources

Astrocytes Coordinate Neurovascular Coupling During Prolonged Sensory Demand via AQP4/TRPA1/BEST1/D‐Serine Signaling

Advanced Science, EarlyView.
Neuronal activation leads to astrocytic transient volume changes, activating transient receptor potential ankyrin 1 (TRPA1) channels, leading to Ca2+ influx. Activation of TRPA1 causes the release of D‐serine through BEST1. Finally, the augmented extracellular levels of D‐serine boost neuronal activity by binding GluN1‐containing NMDARs, leading to CBV
Kayoung Han, Minwoo Wendy Jang, Taeyoung Park, Ki Jung Kim, Victor James Drew, Sunpil Kim, Tai Young Kim, Mingu Gordon Park, Myeongju Kim, Seung Won Chung, Minah Suh, C. Justin Lee   +11 more
wiley   +1 more source

Numerical comparison of nonlinear thermal radiation and chemically reactive bio-convection flow of Casson-Carreau nano-liquid with gyro-tactic microorganisms: Lie group theoretic approach

Heliyon
The current research presents a mathematical model to study the flow of a non-Newtonian magnetohydrodynamics (MHD) Casson-Carreau nanofluid (CCNF) over a stretching porous surface, considering mass and heat transport rates with Stefan blowing, non-linear
Musharafa Saleem, Majid Hussain
doaj   +1 more source

LLMs as Representation Generators for Gradient‐Free Scientific Optimization: A Case Study in Battery Fast Charging

Advanced Science, EarlyView.
Large language models serve as representation generators for gradient‐free scientific optimization. Two complementary approaches produce executable battery‐charging policies either directly or through LLM‐designed neural representations coupled to Bayesian optimization.
Ge Lei, Ferran Brosa Planella, Sterling G. Baird, Samuel J. Cooper   +3 more
wiley   +1 more source

Rumor Propagation in Multilingual Environments and Stochastic Dynamics: A Modeling Study Based on Age Structure and Isolation Intervention

Systems
This paper investigates rumor dissemination dynamics with generalized nonlinear incidence in multilingual environments. We propose a novel stochastic modeling framework that integrates age structure, mandatory isolation mechanisms, and media intervention.
Tingting Zhou, Shuzhen Yu, Zhiyong Yu, Haijun Jiang   +3 more
doaj   +1 more source

Data‐Driven and Physics‐Informed Modeling Perspectives for Soft Manipulators: From SINDy to Hybrid Intelligence

Advanced Science, EarlyView.
This Perspective charts the modeling landscape for soft manipulators, spanning sparse system identification, neural dynamics, physics‐informed models and hybrid intelligence. We examine how physics, data, sensing, adaptation and control can assume complementary roles within this landscape, and provide a framework for selecting modeling approaches ...
Wenbo Hui, Yunyi Wang, Teng Zhang, Yang Chen, Min Pan   +4 more
wiley   +1 more source