Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics
Boundary Value ProblemsIn this paper, we prove that for certain class of initial data, the corresponding solutions to the 3-D viscous primitive equations blow up in finite time.
Lin Zheng
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Continuity Of The Blow-Up Time For A Nonlinear Convection In Reaction-Diffusion Equation
Trends in Computational and Applied MathematicsIn this paper, we consider a nonlinear convection reaction diffusion equation. Under some assumptions, we show that the solution of the problem blows up in a finite time and we estimate its blow-up time.
R. Kouadio Kouakou, F. K. N’GOHISSE
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Blow-up time and blow-up set of the solutions for semilinear heat equations with large diffusion
Advances in Differential Equations, 2002 Of concern is the blow-up of positive solutions to the Cauchy-Neumann problem \(u_t= d\Delta u+u^p\) on a cylindrical domain \(D= D_1\times (0,L)\subset \mathbb{R}^n\) accompanied with positive initial data \(\varphi\in C(\overline{D})\). Here \(p>1\) is fixed, the diffusion constant \(d>0\) is a parameter and the solutions are denoted as \(u_d\) in ...
openaire +4 more sources
Blowing up at zero points of potential for an initial boundary value problem
, 2010 We study nonnegative radially symmetric solutions for a semilinear heat equation in a ball with spatially dependent coefficient which vanishes at the origin. Our aim is to construct a solution that blows up at the origin where there is no reaction.
Guo, Jong-Shenq; Shimojo, Masahiko +3 more
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Atomistic Kinetics of Dislocation‐Mediated Grain Growth in Monolayer MoS2
Advanced Science, EarlyView.Atomic‐resolution in‐situ heating microscopy directly visualizes dislocation‐mediated grain boundary migration and grain growth in monolayer MoS2. Mobile grain boundaries migrate through collective motion of Mo 5|7 dislocations, whereas S 5|7 defects remain largely immobile.
Chang‐Won Choi +11 more
wiley +1 more source
Nonexistence of positive global solutions to the differential equation $u''-t^{-p-1}u^p=0$
Electronic Journal of Differential Equations, 2016 In this article we consider the ordinary differential equation $$ u'' -t^{-p-1} u^p =0. $$ We show the blow-up for solutions of this equation, under certain on the initial data.
Meng-Rong Li +3 more
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Ultrathin, Fully Solution‐Processed P(VDF‐TrFE) Piezoelectric Sensor Matrix for Electronic Skin
Advanced Electronic Materials, EarlyView.An ultrathin, fully solution‐processed 4×$\times$4 piezoelectric sensor array is developed for skinconformal electronicskin applications. The device integrates inkjetprinted polymer electrodes with a 226 nm P(VDFTrFE) active layer on a 4.53 μm$\umu{\rm m}$ Parylene C substrate, enabling extreme flexibility and robust tactile sensing. The array exhibits
Ninja Kajas +4 more
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Integrability of blow-up solutions to some non-linear differential equations
Electronic Journal of Differential Equations, 2004 We investigate the integrability of solutions to the boundary blow-up problem $$ r^{-lambda}(r^{lambda}(u')^{p-1})'=H(r,u),quad u'(0)geq 0,quad u(R)=infty $$ under some appropriate conditions on the non-linearity $H$.
Michael Karls, Ahmed Mohammed
doaj
Estimates of blow-up time for a non-local problem modelling an Ohmic heating process
, 2002 We consider an initial boundary value problem for the non-local equation, ut = uxx+λf(u)/(∫1-1f (u)dx)2, with Robin boundary conditions. It is known that there exists a critical value of the parameter λ, say λ*, such that for λ > λ* there is no ...
Tzanetis, DE +8 more
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