Results 41 to 50 of about 226,754 (275)
Blow-Up of Solutions of Some Nonlinear Hyperbolic Systems
Rocky Mountain Journal of Mathematics, 1999 The paper deals with initial value problems for two types of systems of two semilinear wave equations \(u_{tt}=\Delta u+|v|^p, v_{tt}=\Delta v+|u|^q,\) and \(u_{tt}=\Delta u+|v_t|^p, v_{tt}=\Delta v+|u_t|^q (t>0, x\in \mathbb{R}^n)\) with compactly supported initial data.
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Advanced Functional Materials, EarlyView.Intelligent radiative cooling devices, adaptable to various weather conditions, have the potential for year‐round energy savings. This study introduces a sustainable dual‐mode film made from polycaprolactone nanofibers and upcycled chip bags for effective thermal management.
Qimeng Song +4 more
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Advances in Mathematical Physics, 2023 This article is concerned with the initial-value problem of a Schrödinger–Hartree equation in the presence of anisotropic partial/whole harmonic confinement. First, we get a sharp threshold for global existence and finite time blow-up on the ground state
Min Gong, Hui Jian
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Blow up for the critical gKdV equation III: exotic regimes [PDF]
, 2012 We consider the blow up problem in the energy space for the critical (gKdV) equation in the continuation of part I and part II. We know from part I that the unique and stable blow up rate for solutions close to the solitons with strong decay on the ...
Martel, Yvan +2 more
core
Wave breaking of periodic solutions to the Fornberg-Whitham equation
, 2017 Based on recent well-posedness results in Sobolev (or Besov spaces) for periodic solutions to the Fornberg-Whitham equations we investigate here the questions of wave breaking and blow-up for these solutions.
Hoermann, Guenther
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Advanced Functional Materials, EarlyView.Biofabrication aims at providing innovative technologies and tools for the fabrication of tissue‐like constructs for tissue engineering and regenerative medicine applications. By integrating multiple biofabrication technologies, such as 3D (bio) printing with fiber fabrication methods, it would be more realistic to reconstruct native tissue's ...
Waseem Kitana +2 more
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Remarks on the Blow-Up Solutions for the Critical Gross-Pitaevskii Equation
Abstract and Applied Analysis, 2013 This paper is concerned with the blow-up solutions of the critical Gross-Pitaevskii equation, which models the Bose-Einstein condensate. The existence and qualitative properties of the minimal blow-up solutions are obtained.
Xiaoguang Li, Chong Lai
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Advanced Functional Materials, EarlyView.Atomically engineered layered 2D Ti3CNTz carbonitride MXene exhibits ultrahigh heat and pressure sensitivity, enabling dual‐mode sensors with 300%–400% performance enhancement and durability for real‐time health‐monitoring interface devices. Precise nitrogen incorporation (e.g., Ti3C1.8N0.2Tz) boosts conductivity, enhancing temperature response, while ...
Debananda Mohapatra +12 more
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Blow up of solutions to semilinear wave equations
Electronic Journal of Differential Equations, 2003 This work shows the absence of global solutions to the equation $$ u_{tt} = Delta u + p^{-k}|u|^m, $$ in the Minkowski space $mathbb{M}_0=mathbb{R}imesmathbb{R}^N$, where $ m > 1$, $(N-1)m < N+1$, and $p $ is a conformal factor approaching 0 at infinity.
Mohammed Guedda
doaj
Blow up of solutions of pseudoparabolic equations
Journal of Mathematical Analysis and Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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