Results 131 to 140 of about 228,562 (313)
Blow up and quenching for a problem with nonlinear boundary conditions
Electronic Journal of Differential Equations, 2015 In this article, we study the blow up behavior of the heat equation $ u_t=u_{xx}$ with $u_x(0,t)=u^{p}(0,t)$, $u_x(a,t)=u^q(a,t)$. We also study the quenching behavior of the nonlinear parabolic equation $v_t=v_{xx}+2v_x^{2}/(1-v)$ with $v_x(0,t)=(1-v(
Nuri Ozalp, Burhan Selcuk
doaj
Advanced Materials, EarlyView.A PVA‐based macromolecular thiol‐ene formulation enables efficient two‐photon polymerization at extremely low polymer concentrations and high writing speeds of 400 mm s−1 (20×), allowing high‐fidelity laser writing of cell‐interactive hydrogel structures on demand.
Wanwan Qiu +6 more
wiley +1 more source
Le Matematiche, 1993 Global solvability and uniqueness results are established for Dirichlet's problem for a class of nonlinear differential equations on a convex domain in the plane, where the nonlinear operator is elliptic in sense of Campanato. We prove existence by means
Dian K. Palagachev
doaj
Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics
Advanced Materials, EarlyView.The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades +7 more
wiley +1 more source
Intelligent Acousto‐Electrical Metamaterials (IAM) for Sound Source Detection
Advanced Materials, EarlyView.Our proposed metamaterial concept enables sound source detection using a single material, in contrast to conventional arrays that require dozens or even hundreds of transducers. We show that the coupled acoustic–vibrational–electrical responses in piezoelectric metamaterials give rise to topology‐governed charge transport, producing distinct voltage ...
Victor Couëdel +7 more
wiley +1 more source
Azaporphyrinoid‐Based Photo‐ and Electroactive Architectures for Advanced Functional Materials
Advanced Materials, EarlyView.A long‐standing collaboration between the Torres and Guldi groups has yielded diverse azaporphyrinoid‐based donor‐acceptor nanohybrids with promising applications in solar energy conversion. This conspectus highlights key molecular platforms and structure‐function relationships that govern light and charge management, supporting the rational design of ...
Jorge Labella +3 more
wiley +1 more source
Advanced Materials, EarlyView.An ion‐mediated structural engineering strategy enables versatile modulation of PVA–Alginate hydrogel microstructure. We systematically examine how different ion combinations affect hydrogel mechanical properties and analyte diffusivity. Applying this novel strategy to hydrogel as the outer membrane in an electrochemical glucose biosensor allows ...
Dongwook Lee +14 more
wiley +1 more source
Advanced Materials, EarlyView.A personalizable platform featuring a multi‐zonal cardiac patch design at clinical scale enables precise customization of fiber architecture at micro‐ and macroscale via melt electrowriting. Distinct scaffold zones support cell alignment with mechanical force transfer and epicardial attachment.
Johannes Braig +31 more
wiley +1 more source
An innovative meshless approach for solving 2D Allen-Cahn equations using the RBF-compact finite difference method. [PDF]
Sci RepFardi M, Azarnavid B, Emami H.
europepmc +1 more source