Results 11 to 20 of about 11,046,071 (291)

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

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   +10 more sources

LOCAL SOLUTION AND BLOW-UP FOR A NONLINEAR KIRCHHOFF'S SYSTEM [PDF]

open access: yesPesquimat, 2014
We study the existence and blow-up of the local solution to the mixed problem for a nonlinear Kirchhoff's system.
Teófanes Quispe Méndez
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 in a periodic semilinear heat equation [PDF]

open access: yes, 2023
Blow up in a one-dimensional semilinear heat equation is studied using a combination of numerical and analytical tools. The focus is on problems periodic in the space variable and starting out from a nearly flat, positive initial condition. Novel results
J.R. King   +5 more
core   +1 more source

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

Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions

open access: yesAbstract 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
doaj   +1 more source

Simulation of the stretch blow moulding process: from the modelling of the microstructure evolution to the end-use elastic properties of polyethylene terephthalate bottles [PDF]

open access: yes, 2010
The original publication is available at www.springerlink.comThe whole stretch blow-moulding process of PET bottles is simulated at the usual process temperature in order to predict the elastic end-use properties of the bottles.
REGNIER, Gilles   +7 more
core   +1 more source

Refined Regularity of the Blow-Up Set Linked to Refined Asymptotic Behavior for the Semilinear Heat Equation

open access: yesAdvanced Nonlinear Studies, 2017
We consider u⁢(x,t)${u(x,t)}$, a solution of ∂t⁡u=Δ⁢u+|u|p-1⁢u${\partial_{t}u=\Delta u+|u|^{p-1}u}$ which blows up at some time T>0${T>0}$, where u:ℝN×[0,T)→ℝ${u:\mathbb{R}^{N}\times[0,T)\to\mathbb{R}}$, p>1${p>1}$ and (N-2)⁢p0}$.
Ghoul Tej-Eddine   +2 more
doaj   +1 more source

Blow-up solutions for a Blow-up solutions for a Blow-up solutions for a $p$-Laplacian elliptic equation of logistic type with singular nonlinearity

open access: yes, 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
openaire   +2 more sources

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