Results 41 to 50 of about 8,356,353 (285)
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
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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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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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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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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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Advanced Materials Interfaces, EarlyView.Hemagglutinin precomplexation with antibodies (Abs) results in broad valency distributions, though it increases the total avidity from mM to nM to high nM. The valency distribution and the orientation of multivalent HA‐Ab complexes determine the extent of binding to different types of assays, whether the receptors are displayed in 2D or 3D.
Daniel Y. E. L. Tambuwun +8 more
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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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Proceedings of the Edinburgh Mathematical Society, 2013 AbstractWe study a notion of ‘b-stability’, introduced previously by the author in connection with the existence of constant scalar curvature Kähler, and Kähler-Einstein, metrics. The main result is Theorem 1.2, which makes progress towards a statement that the existence of such metrics implies b-stability. The proof is a modification of an argument of
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Biodegradable and Edible Milli‐Fluidic Logic Circuits
Advanced Materials Technologies, EarlyView.Fully biodegradable and edible fluidic circuits are developed using gelatin‐based valves that operate at low pressure. Logic gates, a one‐bit memory, and a ring oscillator are demonstrated, showing that biodegradable materials can perform computation and control.
Shuhang Zhang +3 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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