Results 31 to 40 of about 8,356,171 (248)
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
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Biohybrid Crawling Robot With Spiral‐Spring Backbone and Inclined Legs for Enhanced Locomotion
Advanced Materials, EarlyView.We present a biohybrid crawling robot integrating a muscle ring with a flexible skeleton combining two complementary structural elements. The spiral‐spring backbone enables large‐amplitude bending without compromising axial stability, while outward‐inclined legs with unequal front–rear lengths effectively convert deformation into directional strides ...
Tomohiro Morita +2 more
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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
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Synthesis of Bulk Superconducting LiNbO2 Crystals Through CaH2 Reduction
Advanced Materials, EarlyView.CaH2 reduction reconstructively transforms insulating LiNbO3 single crystals into superconducting bulk LiNbO2 with a critical temperature of Tc = 14.4 K. Scanning electron microscopy reveals large‐volume, high‐yield phase conversion. Magnetization measurements demonstrate a robust ∼ 77% Meissner shielding fraction, establishing bulk superconductivity ...
Ryan Paxson +19 more
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Total blow-up of a quasilinear heat equation with slow-diffusion for non-decaying initial data [PDF]
, 2009 summary:We consider solutions of quasilinear equations $u_{t}=\Delta u^{m} + u^{p}$ in $\mathbb R^{N}$ with the initial data $u_{0}$ satisfying $0 0$. It is known that if $01$, the blow-up set is empty.
Ling, Amy Poh Ai +3 more
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Biomass DNA: An Emerging Building Block for Advanced Materials
Advanced Materials, EarlyView.Biomass DNA is rapidly emerging from its traditional role as a genetic blueprint to serve as a versatile abundant, highly programmable polymeric building block. This review highlights the transformation of macroscopic bulk biomass DNA into next generation of functional materials, spanning from dynamic hydrogels, sustainable bioplastics, and high ...
Yuwei Hu, Itamar Willner, Li Niu
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Blow-up Behavior for a Parabolic Equation With Spatially Dependent Coefficient
, 2011 100學年度研究獎補助論文We study the initial boundary value problem and Cauchy problem for the semilinear heat equation with power nonlinearity and spatially dependent coefficient.
Guo, Jong-Shenq; Lin, Chang-Shou; Shimojo, Masahiko +1 more
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Advanced Materials Interfaces, EarlyView.Graphene layers are fabricated on Cu foil and transferred onto glass substrates to form double‐ and multi‐layer G‐glass. Raman spectroscopy confirms structural integrity, while SEM and fluorescence microscopy reveal favorable adhesion and spreading of L‐929 fibroblast cells.
Mariana Mihaela Apostol +8 more
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Blow-up analysis for parabolic equations and systems via an auxiliary functional approach
Advances in Nonlinear AnalysisThis paper considers the finite-time blow-up of solutions to semilinear parabolic equations and systems. Using a direct functional method, we first study single equations with source terms f(u) = u p and f(u) = u p + u q.
Chen Shaohua, Lawless Marcus, Lian Wei
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