Results 11 to 20 of about 226,754 (275)

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

, 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.
Bandle C., Chen Y.G., Cho C.-H., Gut A., H. Brunner, Haynes R.D., Z. W. Yang   +6 more
core   +1 more source

Blow up of solutions for a semilinear hyperbolic equation

Electronic Journal of Qualitative Theory of Differential Equations, 2012
In this paper we consider a semilinear hyperbolic equation with source and damping terms. We will prove a blow up result of solutions for positive initial energy.
Yamna Boukhatem, Benyattou Benabderrahmane   +1 more
doaj   +1 more source

Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy

Journal of Function Spaces, 2021
This paper is concerned with the blow-up of certain solutions with positive initial energy to the following quasilinear wave equation: utt−MNutΔp·u+gut=fu. This work generalizes the blow-up result of solutions with negative initial energy.
Loay Alkhalifa, Hanni Dridi, Khaled Zennir   +2 more
doaj   +1 more source

Solutions to the complex Korteweg-de Vries equation: Blow-up solutions and non-singular solutions [PDF]

, 2013
In the paper two kinds of solutions are derived for the complex Korteweg-de Vries equation, including blow-up solutions and non-singular solutions. We derive blow-up solutions from known 1-soliton solution and a double-pole solution.
Sun, Ying-ying, Yuan, Juan-ming, Zhang, Da-jun   +2 more
core   +1 more source

Exact Traveling Wave Solutions for a Nonlinear Evolution Equation of Generalized Tzitzéica-Dodd-Bullough-Mikhailov Type

Journal of Applied Mathematics, 2013
By using the integral bifurcation method, a generalized Tzitzéica-Dodd-Bullough-Mikhailov (TDBM) equation is studied. Under different parameters, we investigated different kinds of exact traveling wave solutions of this generalized TDBM equation.
Weiguo Rui
doaj   +1 more source

Well-Posedness, Blow-Up Phenomena, and Asymptotic Profile for a Weakly Dissipative Modified Two-Component Camassa-Holm Equation

Journal of Applied Mathematics, 2013
We study the Cauchy problem of a weakly dissipative modified two-component Camassa-Holm equation. We firstly establish the local well-posedness result. Then we present a precise blow-up scenario.
Yongsheng Mi, Chunlai Mu
doaj   +1 more source

Global Existence and Uniform Blow-Up to a Nonlocal Parabolic System with Nonlinear Boundary Conditions Arising in a Thermal Explosion Theory

Mathematics, 2023
This paper deals with a nonlinear nonlocal parabolic system with nonlinear heat-loss boundary conditions, which arise in the thermal explosion model. Firstly, we prove a comparison principle for some kinds of parabolic systems under nonlinear boundary ...
Wenyuan Ma, Baoqiang Yan
doaj   +1 more source

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

Multiscale 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.
Gorb, Yuliya, Novikov, Alexei
openaire   +2 more sources

Blow-Up Phenomena for Nonlinear Reaction-Diffusion Equations under Nonlinear Boundary Conditions

Journal of Function Spaces, 2016
This paper deals with blow-up and global solutions of the following nonlinear reaction-diffusion equations under nonlinear boundary conditions: g(u)t=∇·au∇u+fu  in  Ω×0,T,  ∂u/∂n=bx,u,t  on  ∂Ω×(0,T),  u(x,0)=u0(x)>0,  in  Ω¯, where Ω⊂RN  (N≥2) is a ...
Juntang Ding
doaj   +1 more source

On blow up of solutions of nonlinear evolution equations [PDF]

Proceedings of the American Mathematical Society, 1988
We give a complete description of domains of blow up for general second order inequalities, which allows us to obtain some new results on nonexistence of global solutions for nonlinear hyperbolic equations, both in R n {R^n} and bounded domains.
openaire   +2 more sources