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log–log blow up solutions blow up at exactly m points [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2017 We study the focusing mass-critical nonlinear Schrödinger equation, and construct certain solutions which blow up at exactly m points according to the log–log law. Résumé Nous étudions l'équation de Schrödinger non linéaire focalisante de ...
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Blow-up vs. spurious steady solutions [PDF]
Proceedings of the American Mathematical Society, 2000 The numerical approximation of problems with blow-up is studied. In particular, the long-time behaviour of solutions of the semidiscretization in space of the following parabolic problem: \[ \begin{cases} u_t= u_{xx}-\lambda u^p\quad &\text{in }(0,1)\times [0,T),\\ u_x(1, t)= u(1, t)^q\quad &\text{on }[0,T),\\ u_x(0, t)= 0\quad &\text{on }[0, T),\\ u(x,
Fernández Bonder, Julián +1 more
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Mathematics, 2023 This paper deals with a nonlinear nonlocal parabolic system with nonlinear heat-loss boundary conditions, which arise in the thermal explosion model. Firstly, we prove a comparison principle for some kinds of parabolic systems under nonlinear boundary ...
Wenyuan Ma, Baoqiang Yan
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Connecting equilibria by blow-up solutions
Discrete & Continuous Dynamical Systems - A, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fila, Marek, Matano, Hiroshi
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Isolatedness of characteristic points at blow-up for a semilinear wave equation in one space dimension [PDF]
, 2010 We consider the semilinear wave equation with power nonlinearity in one space dimension. We consider an arbitrary blow-up solution $u(x,t)$, the graph $x\mapsto T(x)$ of its blow-up points and ${\cal S}\subset {\mathbb R}$ the set of all characteristic ...
Merle, F., Zaag, H.
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Abstract and Applied Analysis, 2014 We study the blow-up and global solutions for a class of quasilinear parabolic problems with Robin boundary conditions. By constructing auxiliary functions and using maximum principles, the sufficient conditions for the existence of blow-up solution, an ...
Juntang Ding
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Solutions to the complex Korteweg-de Vries equation: Blow-up solutions and non-singular solutions [PDF]
, 2013 In the paper two kinds of solutions are derived for the complex Korteweg-de Vries equation, including blow-up solutions and non-singular solutions. We derive blow-up solutions from known 1-soliton solution and a double-pole solution.
Sun, Ying-ying +2 more
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Coupled Volterra Equations with Blow-Up Solutions
Journal of Integral Equations and Applications, 1995 The authors examine a pair of coupled nonlinear Volterra equations for possible blow-up solutions. The system is motivated by certain models of explosion phenomena in a diffusive medium. They derive criteria for a blow-up to occur as well as bounds on the time of its occurrence for a general class of nonlinearities and obtain specific results for two ...
Olmstead, W.E., Roberts, C.A., Deng, K.
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Stabilizing blow up solutions to nonlinear schrÖdinger equations
Communications on Pure & Applied Analysis, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Di Menza, Laurent, Goubet, Olivier
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Large branes in AdS and their field theory dual [PDF]
, 2000 Recently it was suggested that a graviton in $AdS_5 \times S^5$ with a large momentum along the sphere can blow up into a spherical D-brane in $S^5$. In this paper we show that the same graviton can also blow up into a spherical D-brane in $AdS_5$ with ...
Hashimoto, Akikazu +2 more
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