Results 31 to 40 of about 167,507 (265)

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

Upper bound estimate for the blow-up time of a class of integrodifferential equation of parabolic type involving variable source

Comptes Rendus. Mathématique, 2020
Consider a class of integrodifferential of parabolic equations involving variable source with Dirichlet boundary condition \begin{equation*} u_{t}=\Delta u-\int _{0}^{t}g\left(t-s\right) \Delta u\left(x,s\right) \mathrm{d} s+|u| ^{p(x) -2}u.
Rahmoune, Abita
doaj   +1 more source

3D (Bio) Printing Combined Fiber Fabrication Methods for Tissue Engineering Applications: Possibilities and Limitations

Advanced Functional Materials, EarlyView.
Biofabrication aims at providing innovative technologies and tools for the fabrication of tissue‐like constructs for tissue engineering and regenerative medicine applications. By integrating multiple biofabrication technologies, such as 3D (bio) printing with fiber fabrication methods, it would be more realistic to reconstruct native tissue's ...
Waseem Kitana, Indra Apsite, Leonid Ionov   +2 more
wiley   +1 more source

Global and blow-up solutions for a nonlinear reaction diffusion equation with Robin boundary conditions

Boundary Value Problems, 2020
In the paper, we investigate global and blow-up solutions for a class of nonlinear reaction diffusion equations with Robin boundary conditions. By using auxiliary functions and a first-order differential inequality technique, we establish conditions on ...
Huimin Tian, Lingling Zhang
doaj   +1 more source

Full blow-up range for co-rotaional wave maps to surfaces of revolution [PDF]

, 2014
We construct blow-up solutions of the energy critical wave map equation on $\mathbb{R}^{2+1}\to \mathcal N$ with polynomial blow-up rate ($t^{-1-\nu}$ for blow-up at $t=0$) in the case when $\mathcal{N}$ is a surface of revolution.
Gao, Can
core   +1 more source

Deciphering Small Molecule Diffusion Parameters Across Light Responsive Polymersome Membranes

Advanced Functional Materials, EarlyView.
Light‐responsive polymersomes bearing donor–acceptor Stenhouse adducts (DASAs) enable programmable control over small‐molecule transport across synthetic membranes. By systematically varying DASA density, an optimal functionalization regime is identified that maximizes light‐gated permeability.
Farzina Matubbar, Beyzanur Kaya, Buse Ipek, Tenzin Dorjee, Shoghik Hakobyan, Mohamed Chami, Julien E. Gautrot, Omar Rifaie‐Graham   +7 more
wiley   +1 more source

Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions

Abstract and Applied Analysis, 2014
We study the blow-up and global solutions for a class of quasilinear parabolic problems with Robin boundary conditions. By constructing auxiliary functions and using maximum principles, the sufficient conditions for the existence of blow-up solution, an ...
Juntang Ding
doaj   +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

Anomalous Pressure‐Temperature Ultrahigh Sensitivities in Atomically Engineered Carbonitride MXenes for Multifunctional Wearable Human–Machine Interfaces: Joint Computational–Experimental Elucidations

Advanced Functional Materials, EarlyView.
Atomically engineered layered 2D Ti3CNTz carbonitride MXene exhibits ultrahigh heat and pressure sensitivity, enabling dual‐mode sensors with 300%–400% performance enhancement and durability for real‐time health‐monitoring interface devices. Precise nitrogen incorporation (e.g., Ti3C1.8N0.2Tz) boosts conductivity, enhancing temperature response, while ...
Debananda Mohapatra, Ju‐Hyoung Han, Hyun Jin Kang, Jeong Eun Byun, Seonghun Lee, Sanghyuk Lee, Yeseul Son, Jaeeun Park, Tae Joo Shin, Youngho Kang, Jung Woo Lee, Soon‐Yong Kwon, Soo‐Hyun Kim   +12 more
wiley   +1 more source

Adaptive Hydrogels With Spatiotemporal Stiffening Using pH‐Modulating Enzymes

Advanced Functional Materials, EarlyView.
The chemomechanical coupling in an adaptive hydrogel is studied to further the development of adaptive hydrogels. This coupling is achieved by embedding a pH‐modulating enzyme in a pH‐responsive hydrogel. The enzymatic reaction can be triggered locally, which generates a pH‐decreasing wave throughout the system, increasing the crosslinking density and ...
Natascha Gray, Zoe Grämiger, André R. Studart, Rafael Libanori   +3 more
wiley   +1 more source