Results 51 to 60 of about 13,013,114 (294)
Blow-up solutions for damped Rao-Nakra beams with source terms
Electronic Journal of Differential EquationsThis article concerns the blow-up of solutions for a damped Rao-Nakra beam equation with nonlinear source terms at arbitrary initial energy levels. We estimate the lower and upper bounds of the lifespan of the blow-up solution and the blow-up rate by ...
Mirelson M. Freitas +4 more
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Numerical study on the blow-up rate to a quasilinear parabolic equation [PDF]
, 2017 summary:In this paper, we consider the blow-up solutions for a quasilinear parabolic partial differential equation $u_t = u^2(u_{xx}+u)$. We numerically investigate the blow-up rates of these solutions by using a numerical method which is recently ...
Ishiwata, Tetsuya +2 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
wiley +1 more source
Journal of Function Spaces, 2022 Focusing on the physical context of the thermal explosion model, this paper investigates a semilinear parabolic equation ut=Δu+a∫Ωupdx,x,t∈QT,n·∇u+guu=0,x,t∈ST,ux,0=u0x,x∈Ω with nonlocal sources under nonlinear heat-loss boundary conditions, where a,p>0 ...
Wenyuan Ma, Zhixuan Zhao, Baoqiang Yan
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Blow-up Rate Estimates for Parabolic Equations
, 2012 We consider the blow-up sets and the upper blow-up rate estimates for two parabolic problems defined in a ball.
Rasheed, Maan A., Chlebik, Miroslav
openaire +2 more sources
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
wiley +1 more source
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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Concentration of blow-up solutions for the Gross-Pitaveskii equation
Advances in Nonlinear AnalysisWe consider the blow-up solutions for the Gross-Pitaveskii equation modeling the attractive Boes-Einstein condensate. First, a new variational characteristic is established by computing the best constant of a generalized Gagliardo-Nirenberg inequality ...
Zhu Shihui
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Asymptotic behaviour of positive large solutions of quasilinear logistic problems
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We are interested in the asymptotic analysis of singular solutions with blow-up boundary for a class of quasilinear logistic equations with indefinite potential.
Ramzi Alsaedi +3 more
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Blow-up analysis for parabolic p-Laplacian equations with a gradient source term
Journal of Inequalities and Applications, 2020 In this work, we deal with the blow-up solutions of the following parabolic p-Laplacian equations with a gradient source term: { ( b ( u ) ) t = ∇ ⋅ ( | ∇ u | p − 2 ∇ u ) + f ( x , u , | ∇ u | 2 , t ) in Ω × ( 0 , t ∗ ) , ∂ u ∂ n = 0 on ∂ Ω × ( 0 , t ∗
Juntang Ding
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