Results 61 to 70 of about 325,285 (279)
International Journal of Analysis and Applications, 2014 This paper deals with the evolution r-Laplacian equation with absorption and nonlinear boundary condition. By using differential inequality techniques, global existence and blow-up criteria of nonnegative solutions are determined.
Iftikhar Ahmed, Chunlai Mu, Pan Zheng
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Blow-up set for type I blowing up solutions for a semilinear heat equation
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2014 Let u be a type I blowing up solution of the Cauchy–Dirichlet problem for a semilinear heat equation, \left\{\begin{matrix} \partial _{t}u = \mathrm{\Delta }u + u^{p}, & x \in \Omega ,\:t > 0, \\ u(x,t) = 0, & x \in \partial ...
Fujishima, Yohei, Ishige, Kazuhiro
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Advanced Healthcare Materials, EarlyView.Schematic illustration of the SH bandage placed on an infected burn wound and its role in wound healing. A superhydrophobic PDMS membrane coated with the PS verteporfin is placed over the wound area and illuminated with a red laser at 690 nm, generating airborne 1O2 above the tissue.
Fernanda Viana Cabral +8 more
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Blow-Up Phenomena for a Non-Newton Filtration Equation with Local Linear Boundary Dissipation
MathematicsIn this article, we consider the finite time blow-up phenomenon for a class of non-Newton filtration equations with local linear boundary dissipation.
Xinru Zhou, Dengming Liu
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Boundary Value Problems, 2019 In this paper, we consider the blow-up result of solution for a quasilinear viscoelastic wave equation with strong damping and boundary nonlinear damping.
Mi Jin Lee, Jum-Ran Kang, Sun-Hye Park
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Advanced Materials, EarlyView.Ball‐milling Cu‐based metallic glasses with ceria creates a unique nanostructure where metallic glass particles are wrapped by CeO2 nanoparticles. The intimate integration triggers copper state reorganization during reaction and aging, boosting CO oxidation and COPrOx activity.
Maahin Mirzay‐Shahim +17 more
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The blow-up solutions of integral equations [PDF]
Colloquium Mathematicum, 1999 A class of nonlinear Volterra equations of the form \[ u(t)=\int_{0}^{t}k(t-\tau)r(s)g(u(s)+h(s)) ds, \quad t>0 \] is considered. These equations are motivated by models of processes in diffusive media which have an explosive character.
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The Blow-up Rate of Solutions to Boundary Blow-up Problems for the Complex Monge–Ampère Operator [PDF]
manuscripta mathematica, 2006 Let \(D\subset \mathbb C^n\) be a bounded strongly pseudoconvex domain with smooth boundary. Solutions to the complex Monge-Ampère equations of type \((dd^c u)^n (z) = \exp(K u(z))\), \(K>0\), which explode at every boundary point of \(D\) generate Kähler-Einstein metrics and are therefore well studied [\textit{S.-Y. Cheng, S.-T. Yau}, Commun.
Ivarsson, Björn, Matero, Jerk
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Advanced Materials, EarlyView.Inspired by viral entry mechanisms, the FUSION assay enables autonomous detection of respiratory viruses via membrane fusion–triggered CRISPR‐Cas13a activation. VEACON selectively fuses with fusion‐competent viruses, triggering fluorescence within confined vesicles.
Jae Chul Park +15 more
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Existence and non-existence of global solutions for a semilinear heat equation on a general domain
Electronic Journal of Differential Equations, 2014 We consider the parabolic problem $u_t-\Delta u=h(t) f(u)$ in $\Omega \times (0,T)$ with a Dirichlet condition on the boundary and $f, h \in C[0,\infty)$. The initial data is assumed in the space $\{ u_0 \in C_0(\Omega); u_0\geq 0\}$, where $\Omega$
Miguel Loayza, Crislene S. da Paixao
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