Results 11 to 20 of about 11,512,228 (286)

On blow-up of solution for Euler equations [PDF]

open access: yesESAIM: Mathematical Modelling and Numerical Analysis, 2001
Summary: We present numerical evidence for the blow-up of solutions to the Euler equations. Our approximate solutions are Taylor polynomials in the time variable of an exact solution, and we believe that in terms of the exact solution, the blow-up will be rigorously proved.
Behr, Eric   +2 more
openaire   +3 more sources

Existence, Blow-Up, and Blow-Up Rate of Weak Solution to Fourth-Order Non-Newtonian Polytropic Variation-Inequality Arising from Consumption-Investment Models

open access: yesJournal of Mathematics
This article obtains the conditions for the existence and nonexistence of weak solutions for a variation-inequality problem. This variational inequality is constructed by a fourth-order non-Newtonian polytropic operator which is receiving much attention ...
Jia Li, Xuelian Bai
doaj   +2 more sources

Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]

open access: yes, 2013
We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
core   +4 more sources

Blow up for the critical gKdV equation III: exotic regimes

open access: yes, 2015
International audienceWe 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 ...
Merle, Frank   +2 more
core   +9 more sources

Blow-up of Solutions to a $p$-Laplace Equation [PDF]

open access: yesMultiscale Modeling & Simulation, 2012
Consider two perfectly conducting spheres in a homogeneous medium where the current-electric field relation is the power law. Electric field blows up in the L-infinity norm as the distance between the conductors tends to zero. We give here a concise rigorous justification of the rate of this blow-up in terms of the distance between the conductors.
Yuliya Gorb, Alexei Novikov
openaire   +3 more sources

Blow-Up Solutions of Liouville’s Equation and Quasi-Normality [PDF]

open access: yesComputational Methods and Function Theory, 2020
We prove that the family $\mathcal{F}_C(D)$ of all meromorphic functions $f$ on a domain $D\subseteq \mathbb{C}$ with the property that the spherical area of the image domain $f(D)$ is uniformly bounded by $C π$ is quasi--normal of order $\le C$. We also discuss the close relations between this result and the well--known work of Brézis and Merle on ...
Grahl, Jürgen   +2 more
openaire   +3 more sources

Connecting equilibria by blow-up solutions

open access: yesDiscrete and Continuous Dynamical Systems, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fila, Marek, Matano, Hiroshi
openaire   +1 more source

Blow-up of dyadic MHD models with forward energy cascade

open access: yes, 2022
A particular type of dyadic model for the magnetohydrodynamics (MHD) with dominating forward energy cascade is studied. The model includes intermittency dimension δ in the nonlinear scales.
Mimi Dai (10635944)
core   +1 more source

Construction of a blow-up solution for a complex nonlinear heat equation.

open access: yes, 2015
We construct a solution to a complex nonlinear heat equation which blows up in nite time T only at one blow-up point. We also give a sharp description of its blow-up pro le.
Zaag, Hatem, Nouaili, Nejla
core   +4 more sources

log–log blow up solutions blow up at exactly m points [PDF]

open access: yesAnnales 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 ...
openaire   +3 more sources

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