Results 51 to 60 of about 18,754,485 (327)

Existence of blow-up solutions for a degenerate parabolic-elliptic Keller–Segel system with logistic source [PDF]

, 2023
summary:This paper deals with existence of finite-time blow-up solutions to a degenerate parabolic–elliptic Keller–Segel system with logistic source.
Tanaka, Yuya
core   +1 more source

Machine Learning‐Supported Analysis for Predicting and Visualizing Nonlinear Relationships Between Material Properties in Electroplated Chromium Layers

Advanced Engineering Materials, EarlyView.
This study applies machine learning regression to predict chromium layer thickness in decorative trivalent chromium electroplating, using 441 experiments from laboratory‐scale (1L) and pilot‐scale (14L) setups. Tree‐based models, particularly CatBoost, outperformed linear regression by capturing nonlinear parameter interactions (R2$R^2$ up to 0.77 ...
Christoph Baumer, Christopher Mai, Luca Eisentraut, Andreas Bund, Ricardo Buettner   +4 more
wiley   +1 more source

Total blow-up of a quasilinear heat equation with slow-diffusion for non-decaying initial data [PDF]

Mathematica Bohemica, 2019
We consider solutions of quasilinear equations $u_t=\Delta u^m + u^p$ in $\mathbb R^N$ with the initial data $u_0$ satisfying $0 < u_0< M$ and $\lim_{|x|\to\infty}u_0(x)=M$ for some constant $M>0$. It is known that if $0<m<p$ with $p>1$,
Amy Poh Ai Ling, Masahiko Shimojō
doaj   +1 more source

Adaptive Foam 3D Printing of Ultralight and Multifunctional Materials

Advanced Engineering Materials, EarlyView.
Adaptive foam 3D printing, enabled by expandable microspheres, imparts cellular structures to thermoplastic and thermosetting polymers, manufactured through a variety of processes including fused filament fabrication, direct ink writing, digital light processing, and inkjet printing.
Nariman Rajabifar, Amir Ameli
wiley   +1 more source

Theoretical and numerical studies of the blow-up of a degenerate nonlinear reaction–diffusion problem with source terms

Applied Mathematics in Science and Engineering
In this paper, we focus on the phenomenon of blow-up of solutions for semilinear and degenerate (time-derivative) parabolic equation systems with additional source terms.
Bariza Sidhoum, Nadjat Doudi, Lamine Nisse, Asma Alharbi, Salah Boulaaras   +4 more
doaj   +1 more source

Blow-up at infinity of solutions to a semilinear heat equation with logarithmic nonlinearity

Journal of Mathematical Analysis and Applications, 2019
In this short note, the author establishes a blow-up result for a semilinear heat equation with logarithmic nonlinearity, by using the logarithmic Sobolev inequality. This improves a recent blow-up result obtained in Chen et al. (2015) [1] .
Yu-Zhu Han
semanticscholar   +1 more source

Type II Blow-up in the 5-dimensional Energy Critical Heat Equation [PDF]

Acta Mathematica Sinica. English series, 2018
We consider the Cauchy problem for the energy critical heat equation $$\begin{cases}u_t ={\Delta}u+|u|^\frac{4}{n-2}u\;\;\;\text{in}\;\mathbb{R}^n\times(0,T)\\u(\centerdot,0)=u_0\;\;\;\text{in}\;\mathbb{R}^n\end{cases}$${ut=Δu+|u|4n−2uinRn×(0,T)u(⋅,0 ...
M. del Pino, M. Musso, Jun-Cheng Wei
semanticscholar   +1 more source

Optical Signature of Moiré Superlattices Formed by Twisted SrTiO3 Membranes

Advanced Functional Materials, EarlyView.
We discover optical signatures from bonded interfaces in twisted SrTiO3 moiré superlattices, including low‐frequency Raman vibrational modes and strong second‐harmonic generation, consistent with strong interlayer coupling inferred from cross‐sectional electron microscopy and ab initio calculations. ABSTRACT Moiré superlattices formed at the interfaces
T. A. M. Ragib Shahriar, Fumikazu Murakami, Xing He, Konnor Koons, Xinyan Li, Bumseop Kim, Shihan Qin, Varun Harbola, Jochen Mannhart, Yimo Han, Ruijuan Xu, Shengxi Huang, Andrew M. Rappe, Hanyu Zhu   +13 more
wiley   +1 more source

Bounds for the blow-up time a class of integro-differential problem of parabolic type with variable reaction term

Comptes Rendus. Mécanique, 2023
This paper is concerned with the blow-up time of the solutions to an integro-differential problem of parabolic type with variable growth if blow-up occurs.
Ayazoglu, Rabil, Akkoyunlu, Ebubekir
doaj   +1 more source

Electrostatic Superlattices Beyond 1:1 Stoichiometry

Advanced Functional Materials, EarlyView.
Polymer‐mediated charge regulation drives two hierarchical routes to higher‐stoichiometry nanoparticle superlattices. Tuning the polymer's molecular weight promotes progressive interstitial filling, transforming ZnS into the fully occupied CaF2${\rm CaF}_2$ lattice. Exchanging polymer assignment between large and small nanoparticles instead breaks CsCl
Binay P. Nayak, Prapti Kakkar, Wesley P. Korba, Honghu Zhang, Wenjie Wang, Surya K. Mallapragada, Alex Travesset, David Vaknin   +7 more
wiley   +1 more source