Results 31 to 40 of about 648,374 (310)
Universality in Blow-Up for Nonlinear Heat Equations
, 1993 We consider the classical problem of the blowing-up of solutions of the nonlinear heat equation. We show that there exist infinitely many profiles around the blow-up point, and for each integer $k$, we construct a set of codimension $2k$ in the space of ...
A Kupiainen +20 more
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Laser Metal Deposited Ti4822 Hollow Pipe: Experimental and Computational Modelling Study
Advanced Engineering Materials, EarlyView.Laser metal deposition (LMD) of a crack‐free built Ti4822 alloys is challenging. This article reports outstanding characteristics of a hollow pipe that is built with LMD technology when a predicted, nontransformation substrate temperature of 800 °C is used.
Sadiq A. Raji +5 more
wiley +1 more source
Comptes Rendus. Mathématique, 2020 Consider a class of integrodifferential of parabolic equations involving variable source with Dirichlet boundary condition \begin{equation*} u_{t}=\Delta u-\int _{0}^{t}g\left(t-s\right) \Delta u\left(x,s\right) \mathrm{d} s+|u| ^{p(x) -2}u.
Rahmoune, Abita
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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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Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system
, 2017 It is well-known that the Neumann initial-boundary value problem for the minimal-chemotaxis-logistic system in a 2D bounded smooth domain has no blow-up for any choice of parameters. Here, for a large class of kinetic terms including sub-logistic sources,
Xiang, Tian
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Fabrication‐Directed Entanglement for Designing Chiral and Anisotropic Metamaterial Foams
Advanced Engineering Materials, EarlyView.This work introduces fabrication‐directed entanglement (FDE), combining viscous thread printing and topology optimization to program entangled foams with spatially patterned stiffness. By tuning coil density, FDE enables anisotropy, programmable Poisson's ratio, and chirality in foams.
Daniel Revier +3 more
wiley +1 more source
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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Spherical blow-ups of Grassmannians and Mori Dream Spaces
, 2017 In this paper we classify weak Fano varieties that can be obtained by blowing-up general points in prime Fano varieties. We also classify spherical blow-ups of Grassmannians in general points, and we compute their effective cone.
Massarenti, Alex, Rischter, Rick
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Advanced Engineering Materials, EarlyView.By combining porous, solid, and carbon fiber‐reinforced thermoplastic polyurethane within a single 3D printed honeycomb structure, this current work achieved precise control over spatial stiffness while ensuring strong interlayer adhesion. The findings demonstrate enhanced energy absorption and densification strain, outperforming traditional uniform ...
Savvas Koltsakidis +2 more
wiley +1 more source
Smooth solutions to the nonlinear wave equation can blow up on Cantor sets [PDF]
, 2011 We construct $C^\infty$ solutions to the one-dimensional nonlinear wave equation $$ u_{tt} - u_{xx} - \tfrac{2(p+2)}{p^2} |u|^p u=0 \quad \text{with} \quad p>0 $$ that blow up on any prescribed uniformly space-like $C^\infty$ hypersurface. As a corollary,
Killip, Rowan, Visan, Monica
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