Results 101 to 110 of about 6,950 (285)

On a reaction–diffusion equation with Robin and free boundary conditions

Journal of Differential Equations, 2015
This paper is concerned with the following free boundary problem \[ \begin{cases} u_{t}=u_{xx}+f(u),00,\\ u(h(t),t)=0,h^{\prime }(t)=-u_{x}(h(t),t),\quad &t>0,\\ h(0)=h_{0},u(x,0)=\sigma \phi (x),\quad &0\leq x\leq h_{0}, \end{cases} \] where \(b\in [ 0,\infty ),\sigma \geq 0\), \(\phi \) is a \(C^{2}\) function with compact support, and \(f\in C^{1 ...
Liu, Xiaowei, Lou, Bendong
openaire   +1 more source

Scalable Task Planning via Large Language Models and Structured World Representations

Advanced Robotics Research, EarlyView.
This work efficiently combines graph‐based world representations with the commonsense knowledge in Large Language Models to enhance planning techniques for the large‐scale environments that modern robots will need to face. Planning methods often struggle with computational intractability when solving task‐level problems in large‐scale environments ...
Rodrigo Pérez‐Dattari, Zhaoting Li, Robert Babuška, Jens Kober, Cosimo Della Santina   +4 more
wiley   +1 more source

Regular eigenvalue problem with eigenparameter contained in the equation and the boundary conditions

International Journal of Mathematics and Mathematical Sciences, 1990
The purpose of this paper is to establish the expansion theorem for a regular right-definite eigenvalue problem for the Laplace operator in Rn, (n≥2) with an eigenvalue parameter λ contained in the equation and the Robin boundary conditions on two “parts”
E. M. E. Zayed, S. F. M. Ibrahim
doaj   +1 more source

Weighted Hardy type inequalities with Robin boundary conditions

Discrete and Continuous Dynamical Systems - S
In this paper, we establish a general weighted Hardy type inequality for the $% p-$Laplace operator with Robin boundary condition. We provide various concrete examples to illustrate our results for different weights. Furthermore, we present some Heisenberg-Pauli-Weyl type inequalities with boundary terms on balls with radius $R$ at the origin in ...
Kömbe, İsmail, Yener, Abdullah
openaire   +3 more sources

Perivascular Matrix Densification Dysregulates Angiogenesis and Activates Pro‐Inflammatory Endothelial Cells

Advanced Science, EarlyView.
Perivascular matrix densification promotes the emergence of aberrant endothelial tip cells (ATECs) that invade and persist within fibrotic microenvironments. Using in vivo lineage tracing and a human microvessel model, this study shows that fibrous matrix cues destabilize VE‐cadherin–mediated junctions to gate TGF‐β signaling, inducing a pro ...
Jingyi Xia, William Y. Wang, Kyle A. Jacobs, Kairav Maniar, Daphne Lin, Evan H. Jarman, Daniel L. Matera, Kristen Loesel, Christopher D. Davidson, Harrison L. Hiraki, Xiaotian Tan, Eve H. Shikanov, Robert N. Kent, Carole Parent, Xudong Fan, Ariella Shikanov, Matthew L. Kutys, Brendon M. Baker   +17 more
wiley   +1 more source

Continuous dependence results for parabolic problems under Robin boundary conditions [PDF]

, 2009
We investigatew contnuous dependence on initial data for solutions of a nonlinear parabolic problem, when Robin conditions are prescribed on the boundary $\partial \Omega \times (t>0), \Omega $ a bounded R^2 ...
MARRAS, MONICA, PIRO, STELLA
core  

Layer-Adapted Mesh Methods For Singularly Perturbed Parabolic Partial Differential Equations with Robin Boundary Conditions [PDF]

, 2023
The main purpose of this dissertation is to present layer-adapted mesh methods for singularly perturbed parabolic partial differential equations of convection-diffusion and reaction-diffusion types with Robin boundary conditions.
Gebrecherkos berhe, Fasika Wondimu Gelu, Gemechis File Duressa   +2 more
core  

Two New Analytical Models for Three‐Dimensional Transport in a Confined Aquifer With a Permeable Reactive Barrier: A New Adsorptive‐Reactive Robin Matching Condition

Water Resources Research
Existing analytical models for permeable reactive barriers (PRBs) treat an upgradient aquifer formation with contaminant sources as either a Dirichlet or Robin boundary condition specified at the upgradient face of the PRB.
Chenchen Tong, Ching‐Sheng Huang, Lloyd R. Townley, Chen Wang   +3 more
doaj   +1 more source

The nonlinear Schrödinger equation on the half-line with homogeneous Robin boundary conditions. [PDF]

Proc Lond Math Soc, 2023
Lee JM, Lenells J.
europepmc   +1 more source

Enhancing All‐Solid‐State Batteries Performance Through Thickness Control and Surface Passivation of Thermally Evaporated Lithium Metal Anodes

Advanced Science, EarlyView.
This study demonstrates that thermally evaporated lithium anodes combined with LiF passivation provide a high‐performance thin anode design for next‐generation ASSBs. This approach increases the critical current density from 1.6 to 2.6 mA cm−2, enabling full cells to achieve over 500 and 300 cycles at 1.5 and 3 mA cm−2, respectively, outperforming even
Jinsong Zhang, Linfeng Xu, Robin N. Wullich, Thomas J. Schmidt, Mario El Kazzi   +4 more
wiley   +1 more source