Results 61 to 70 of about 538,398 (307)
Journal of Inequalities and Applications, 2016 In this paper, we study the blow-up and global solutions of the following nonlinear reaction-diffusion equations under Neumann boundary conditions: { ( g ( u ) ) t = ∇ ⋅ ( a ( u ) b ( x ) ∇ u ) + f ( x , u ) in D × ( 0 , T ) , ∂ u ∂ n = 0 on ∂ D × ( 0 ,
Juntang Ding
doaj +1 more source
Advanced Materials, EarlyView.Inspired by viral entry mechanisms, the FUSION assay enables autonomous detection of respiratory viruses via membrane fusion–triggered CRISPR‐Cas13a activation. VEACON selectively fuses with fusion‐competent viruses, triggering fluorescence within confined vesicles.
Jae Chul Park +15 more
wiley +1 more source
Blow up for the critical gKdV equation III: exotic regimes
, 2015 International audienceWe consider the blow up problem in the energy space for the critical (gKdV) equation in the continuation of part I and part II. We know from part I that the unique and stable blow up rate for solutions close to the solitons with ...
Merle, Frank +2 more
core +1 more source
Journal of Inequalities and Applications, 2020 In this paper, we consider the global existence of strong solutions to the three-dimensional Boussinesq equations on the smooth bounded domain Ω. Based on the blow-up criterion and uniform estimates, we prove that the strong solution exists globally in ...
Zhaoyang Shang, Fuquan Tang
doaj +1 more source
Advanced Materials, EarlyView.We address the inherently weak particle adhesion of conventional air filters by coating a dynamically crosslinked adhesive layer that delivers capillarity‐driven strong adhesion and particle absorption mediated by dynamic bond exchange. The resulting enhancement in particle adhesion enables efficient ultrafast (up to 20 m s−1) and omnidirectional ...
Junyong Park +11 more
wiley +1 more source
Blow-up in reaction-diffusion equations with exponential and power-type nonlinearities [PDF]
, 2011 In this dissertation we study blow-up phenomena in semilinear parabolic equations with both exponential and power-type nonlinearities. We study the behavior of the solutions as the blow-up moment in time and the blow-up point in space are approached ...
Pulkkinen, Aappo
core
Blow-up phenomena for p-Laplacian parabolic problems with Neumann boundary conditions
Boundary Value Problems, 2017 In this paper, we deal with the blow-up and global solutions of the following p-Laplacian parabolic problems with Neumann boundary conditions: { ( g ( u ) ) t = ∇ ⋅ ( | ∇ u | p − 2 ∇ u ) + k ( t ) f ( u ) in Ω × ( 0 , T ) , ∂ u ∂ n = 0 on ∂ Ω × ( 0 , T
Juntang Ding
doaj +1 more source
Stabilizing Electrochemical Interfaces With Multifunctional Cobalt Nitride Layers
Advanced Materials Interfaces, EarlyView.Cobalt nitrides emerged recently as an interesting class of earth‐abundant oxygen evolution catalysts. Herein, plasma‐enhanced atomic layer deposition is used to synthesize multifunctional cobalt nitride layers that simultaneously protect and catalytically activate photoelectrode surfaces.
Matthias Kuhl +7 more
wiley +1 more source
Journal of Inequalities and Applications, 2018 This paper is devoted to studying the global existence and blow-up results for the following p-Laplacian parabolic problems: {(h(u))t=∇⋅(|∇u|p−2∇u)+f(u)in D×(0,t∗),∂u∂n=g(u)on ∂D×(0,t∗),u(x,0)=u0(x)≥0in D‾.
Juntang Ding
doaj +1 more source
Multilayered Digital Microfluidic Chip for Cell‐Based Assays
Advanced Materials Interfaces, EarlyView.A multilayered digital microfluidic (mDMF) chip architecture is introduced to improve throughput and robustness in cell‐based assays. By multilayering electrode components and dielectric layers on glass, this design significantly reduces actuation voltage, maintains reliability, and enables expansion of the operational area with minimum current leakage.
Mert Ozden +2 more
wiley +1 more source