Results 31 to 40 of about 226,754 (275)
Blow-up and superexponential growth in superlinear Volterra equations
, 2017 This paper concerns the finite-time blow-up and asymptotic behaviour of solutions to nonlinear Volterra integrodifferential equations. Our main contribution is to determine sharp estimates on the growth rates of both explosive and nonexplosive solutions ...
Appleby, John A. D., Patterson, Denis D.
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Deterministic Detection of Single Ion Implantation
Advanced Engineering Materials, EarlyView.Focused ion beam implantation with high detection efficiencies will enable the rapid and scalable fabrication of advanced spin‐based technologies such as qubits. This work presents the detection efficiencies of a wide range of ions implanted into solid‐state hosts, with efficiencies of >90% recorded for ion species and substrate combinations of ...
Mason Adshead +6 more
wiley +1 more source
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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New Exact Solutions for the (2+1)-Dimensional Broer-Kaup-Kupershmidt Equations
Abstract and Applied Analysis, 2010 We investigate the (2+1)-dimensional Broer-Kaup-Kupershmidt equations. Some explicit expressions of solutions for the equations are obtained by using the bifurcation method and qualitative theory of dynamical systems.
Ming Song, Shaoyong Li, Jun Cao
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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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The boundary blow-up rate of large solutions
Journal of Differential Equations, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Boundary blow-up solutions of cooperative systems
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2009 We study the existence, uniqueness and boundary profile of nonnegative boundary blow-up solution to the cooperative system \begin{cases} \mathrm{\Delta }u = g(u−v) & \text{in} & \Omega , \\ \mathrm{\Delta }v = f(v−\beta u) & \text{in} & \Omega , \\ u = v = \infty & \text{on} & \partial ...
Davila, Juan +3 more
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Advanced Engineering Materials, EarlyView.Identified through the use of statistical design of experiments and metallographic investigation, this study exposes the stochastic origins of intergranular cracks in blown powder laser beam directed energy deposition additive manufacturing of pure molybdenum. It further demonstrates a successful crack mitigation approach with direct correlation to the
Nathaniel J. Lies +2 more
wiley +1 more source
Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation
Journal of Applied Mathematics, 2012 We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation. A number of explicit periodic wave solutions are obtained.
Ming Song, Zhengrong Liu
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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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