Results 21 to 30 of about 688 (61)

Self-Similar Blowup Solutions to the 2-Component Degasperis-Procesi Shallow Water System

, 2010
In this article, we study the self-similar solutions of the 2-component Degasperis-Procesi water system:% [c]{c}% \rho_{t}+k_{2}u\rho_{x}+(k_{1}+k_{2})\rho u_{x}=0 u_{t}-u_{xxt}+4uu_{x}-3u_{x}u_{xx}-uu_{xxx}+k_{3}\rho\rho_{x}=0. By the separation method,
Camassa, Deng, Escher, Goldreich, Guan, Guo, Ivanov, Jin, Lakin, Li, Liu, Makino, Manwai Yuen, Popowicz, Yuen, Yuen, Yuen, Yuen, Yuen, Zhou   +19 more
core   +1 more source

The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions [PDF]

, 2010
The final open part of Strauss' conjecture on semilinear wave equations was the blow-up theorem for the critical case in high dimensions. This problem was solved by Yordanov and Zhang in 2006, or Zhou in 2007 independently.
Takamura, Hiroyuki, Wakasa, Kyouhei
core   +2 more sources

Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type Equation

Advanced Nonlinear Studies, 2021
In this paper we study the existence as well as uniform decay rates of the energy associated with the nonlinear damped Schrödinger equation,
Cavalcanti Marcelo M., Domingos Cavalcanti Valéria N.   +1 more
doaj   +1 more source

Blowup of Regular Solutions for the Relativistic Euler-Poisson Equations

, 2015
In this paper, we study the blowup phenomena for the regular solutions of the isentropic relativistic Euler-Poisson equations with a vacuum state in spherical symmetry.
Chan, Wai Hong, Wong, Sen, Yuen, Manwai
core   +1 more source

Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data

, 2015
A simple proof of the existence of solutions for the two-dimensional Keller-Segel model with measures with all the atoms less than $8\pi$ as the initial data is given.
Biler, Piotr, Zienkiewicz, Jacek
core   +1 more source

Examples of non-isolated blow-up for perturbations of the scalar curvature equation on non locally conformally flat manifolds [PDF]

, 2014
Solutions to scalar curvature equations have the property that all possible blow-up points are isolated, at least in low dimensions. This property is commonly used as the first step in the proofs of compactness. We show that this result becomes false for
Robert, Frédéric, Vétois, Jérôme
core   +2 more sources

Finite-time blowup for a complex Ginzburg-Landau equation with linear driving

, 2013
In this paper, we consider the complex Ginzburg--Landau equation $u_t = e^{i\theta} [\Delta u + |u|^\alpha u] + \gamma u$ on ${\mathbb R}^N $, where $\alpha >0$, $\gamma \in \R$ and $-\pi ...
Cazenave, Thierry, Dias, João Paulo, Figueira, Mário   +2 more
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Fast and Slow Decaying Solutions of Lane–Emden Equations Involving Nonhomogeneous Potential

Advanced Nonlinear Studies, 2020
Our purpose in this paper is to study positive solutions of the Lane–Emden ...
Chen Huyuan, Huang Xia, Zhou Feng
doaj   +1 more source

Magnetic susceptibility of YbRh2Si2 and YbIr2Si2 on the basis of a localized 4f electron approach

, 2008
We consider the local properties of the Yb3+ ion in the crystal electric field in the Kondo lattice compounds YbRh2Si2 and YbIr2Si2. On this basis we have calculated the magnetic susceptibility taking into account the Kondo interaction in the simplest ...
A M Skvortsova, A S Kutuzov, Abragam A, B I Kochelaev, C Geibel, C Krellner, Gegenwart P, I Eremin, J Sichelschmidt, J Wykhoff, Mattis D C, S I Belov, Sichelschmidt J, Sichelschmidt J, Wykhoff J   +14 more
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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
core   +1 more source