Results 1 to 10 of about 226,754 (275)

Blow up of the Solutions of Nonlinear Wave Equation [PDF]

open access: yesBoundary Value Problems, 2007
We construct for every fixed the metric , where , , , , are continuous functions, , for which we consider the Cauchy problem , where , ; , , where , , , , , , and are positive constants.
Georgiev Svetlin Georgiev
doaj   +3 more sources

Blow-Up Of Solutions For The Damped Boussinesq Equation

open access: yesZeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 2005
We consider the blow-up of solutions as a function of time to the initial boundary value problem for the damped Boussinesq equation.
Doğan Kaya
exaly   +3 more sources

BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS [PDF]

open access: yesJournal of Mahani Mathematical Research, 2022
This paper is concerned with the blow-up and global existence of solutions for Higher-Order Kirchhoff-Type Equations with variable exponents. Under suitable assumptions, we prove some finite time blow-up results for certain solutions with positive ...
Fortuné Dohemeto   +2 more
doaj   +1 more source

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 $ is quasi--normal of order $\le C$. We also discuss the close relations between this result and the well--known work of Br zis and Merle on ...
Grahl, Jürgen   +2 more
openaire   +3 more sources

Local Existence and Blow-Up of Solutions for Wave Equation Involving the Fractional Laplacian with Nonlinear Source Term

open access: yesAxioms, 2023
The aim of this paper is to investigate the local weak existence and vacuum isolating of solutions, asymptotic behavior, and blow-up of the solutions for a wave equation involving the fractional Laplacian with nonlinear source.
Younes Bidi   +6 more
doaj   +1 more source

Blow up of incompressible Euler solutions [PDF]

open access: yesBIT Numerical Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hoffman, Johan, Johnson, Claes
openaire   +2 more sources

A sufficient and necessary condition of existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator

open access: yesNonlinear Analysis, 2020
In this paper, we establish the results of nonexistence and existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator. Under some suitable growth conditions for nonlinearity, the result of nonexistence of blow-up solutions ...
Xinguang Zhang   +3 more
doaj   +1 more source

On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime

open access: yesBoundary Value Problems, 2021
Consider nonlinear wave equations in the spatially flat Friedmann–Lemaître–Robertson–Walker (FLRW) spacetimes. We show blow-up in finite time of solutions and upper bounds of the lifespan of blow-up solutions to give the FLRW spacetime version of Glassey’
Kimitoshi Tsutaya, Yuta Wakasugi
doaj   +1 more source

Mean field equations on tori: existence and uniqueness of evenly symmetric blow-up solutions [PDF]

open access: yes, 2019
We are concerned with the blow-up analysis of mean field equations. It has been proven in [6] that solutions blowing-up at the same non-degenerate blow-up set are unique.
Bartolucci, Daniele   +4 more
core   +2 more sources

On Blow-up Solutions of A Parabolic System Coupled in Both Equations and Boundary Conditions

open access: yesمجلة بغداد للعلوم, 2021
This paper is concerned with the blow-up solutions of a system of two reaction-diffusion equations coupled in both equations and boundary conditions. In order to understand how the reaction terms and the boundary terms affect the blow-up properties, the ...
Maan A. Rasheed
doaj   +1 more source

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