Results 1 to 10 of about 5,637,423 (161)

Boundary blow-up for nonlinear elliptic equations with general growth in the gradient: an approach via symmetrisation

open access: yesLe Matematiche, 2010
In this paper we give a survey of some recent results obtained via symmetrization methods for solutions of elliptic equations in the form A(u) = H(x, u, Du), where the principal term is a laplacian-type operator and H(x, u, Du) grows with respect to Du ...
Vincenzo Ferone
doaj  

Linear and Nonlinear Perturbed Wave Equations

open access: yes, 2008
We consider several Cauchy problems for the wave equation with some perturbation. First of all, we consider the wave equation with a metric perturbation, that is, we consider the d'Alembert operator in the Schwarzschild metric (which is a model for a ...
CATANIA, DAVIDE
core  

Strongly interacting blow up bubbles for the mass critical NLS

open access: yes, 2018
International audienceWe construct a new class of multi-solitary wave solutions for the mass critical two dimensional nonlinear Schrodinger equation (NLS). Given any integer K>1, there exists a global (for positive time) solution of (NLS) that decomposes
Martel, Yvan, Raphaël, Pierre
core   +1 more source

Numerical approximations for blow-up problems [PDF]

open access: yes, 2003
Estudiamos el comportamiento asintótico de aproximaciones numéricas para problemas con blow-up. Probamos que al aproximar este tipo de problemas muchas veces los métodos usuales reproducen el comportamiento asintótico de la solución continua, sin embargo
Groisman, Pablo, Groisman, Pablo José
core  

On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion

open access: yes, 2003
We consider the asymptotic behavior of motion of polygonal convex curves by crystalline curvature in the plane. There appear spontaneously two types of singularity: one is single point extinction and the other is degenerate pinching.
Ishiwata, Tetsuya, Yazaki, Shigetoshi
core   +1 more source

The Blow-Up of the Local Energy Solution to the Wave Equation with a Nontrivial Boundary Condition

open access: yesMathematics
In this study, we examine the wave equation with a nontrivial boundary condition. The main target of this study is to prove the local-in-time existence and the blow-up in finite time of the energy solution.
Yulong Liu
doaj   +1 more source

Blow-up with logarithmic nonlinearities

open access: yes, 2007
We study the asymptotic behaviour of nonnegative solutions of the nonlinear diffusion equation in the half-line with a nonlinear boundary condition,{ut=uxx−λ(u+1)logp(u+1),(x,t)∈R+×(0,T),−ux(0,t)=(u+1)logq(u+1)(0,t),t∈(0,T),u(x,0)=u0(x),x∈R+, with p,q,λ ...
Ferreira, Raúl   +9 more
core   +1 more source

Blow Up - en images

open access: yes, 2011
Montage de captures d'écran issues du film Blow Up de Michelangelo Antonioni et al., 1966. Séminaire : pratiques historiennes des images animées, 13 octobre 2011.
Rémy Besson
core   +1 more source

Renormalization and blow up for wave maps from $S^2 \times \mathbb{R}$ to $S^2$ [PDF]

open access: yes
We construct a one parameter family of nite time blow ups to the co-rotational wave maps problem from $S^2\times R$ to $S^2$ parameterized by $\nu \epsilon (\frac{1}{2},1]$.
Shahshahani, Sohrab Mirshams
core   +1 more source

Blow up of solutions to ordinary differential equations arising in nonlinear dispersive problems

open access: yesElectronic Journal of Differential Equations, 2018
We study a new class of ordinary differential equations with blow up solutions. Necessary and sufficient conditions for finite blow up time are proved.
Milena Dimova   +2 more
doaj  

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