Results 21 to 30 of about 226,754 (275)
Journal of Fixed Point Theory and Applications, 2023 Abstract We are concerned with blow-up solutions of the 5-dimensional energy critical heat equation $u_t=\Delta u + | u |^{\frac{4}{3}}u$. Our main result is to show that the existence of type II solutions blows up at any k points with arbitrary k blow-up rates. The inner-outer gluing method has been employed.
Zhang, Liqun, Zhao, Jianfeng
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Journal of Applied Mathematics, 2012 We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result.
Yongsheng Mi, Chunlai Mu, Weian Tao
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Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction
, 2019 We perform a thorough study of the blow up profiles associated to the following second order reaction-diffusion equation with non-homogeneous reaction: $$ \partial_tu=\partial_{xx}(u^m) + |x|^{\sigma}u^p, $$ in the range of exponents $10$.
Iagar, Razvan Gabriel, Sánchez, Ariel
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Advances in Mathematical Physics, 2022 In this paper, a family of the weakly dissipative periodic Camassa-Holm type equation cubic and quartic nonlinearities is considered. The precise blow-up scenarios of strong solutions and several conditions on the initial data to guarantee blow-up of the
Ying Zhang, Congming Peng
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Non-self-similar blow-up in the heat flow for harmonic maps in higher dimensions
, 2014 We analyze the finite-time blow-up of solutions of the heat flow for $k$-corotational maps $\mathbb R^d\to S^d$. For each dimension $d>2+k(2+2\sqrt{2})$ we construct a countable family of blow-up solutions via a method of matched asymptotics by glueing a
Biernat, Paweł
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, 2015 In this paper, we deal with existence, uniqueness and exact rate of boundary behavior of blow-up solutions for a class of logistic type quasilinear problem in a smooth bounded domain involving the $p$-Laplacian operator, where the nonlinearity can have a singular behavior.
Alves, Claudianor O. +2 more
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Blow-up solutions of cubic differential systems
Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baris, J., Wawiórko, E.
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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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Blow-up for a degenerate and singular parabolic equation with a nonlocal source
Advances in Difference Equations, 2019 This article studies the blow-up phenomenon for a degenerate and singular parabolic problem. Conditions for the local and global existence of solutions for the problem are given.
Nitithorn Sukwong +3 more
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