Results 11 to 20 of about 85 (85)

Finite time blow-up for quasilinear wave equations with nonlinear dissipation

open access: yes, 2022
In this paper we consider a class of quasilinear wave equations utt − ∆αu − ω1∆ut − ω2∆βut + µ|ut|m−2ut = |u|p−2u, associated with initial and Dirichlet boundary conditions.
KERKER , Mohamed Amine
core   +1 more source

Bounds for blow-up time in a semilinear parabolic problem with variable exponents

open access: yes, 2022
This report deals with a blow-up of the solutions to a class of semilinear parabolic equations with variable exponents nonlinearities. Under some appropriate assumptions on the given data, a more general lower bound for a blow-up time is obtained if the ...
ABITA, Rahmoune   +1 more
core   +1 more source

Global nonexistence and blow-up results for a quasi-linear evolution equation with variable-exponent nonlinearities

open access: yes, 2021
In this paper, we consider a class of quasi-linear parabolic equations with variable exponents, a (x, t) ut − ∆m(.)u = fp(.) (u) in which fp(.) (u) the source term, a(x, t) > 0 is a nonnegative function, and the exponents of nonlinearity m(x), p(x ...
RAHMOUNE, Abita   +1 more
core   +1 more source

Blow-up solutions with minimal mass for nonlinear Schrödinger equation with variable potential

open access: yesAdvances in Nonlinear Analysis, 2021
This paper studies the mass-critical variable coefficient nonlinear Schrödinger equation. We first get the existence of the ground state by solving a minimization problem.
Pan Jingjing, Zhang Jian
doaj   +1 more source

Sharp conditions on global existence and blow-up in a degenerate two-species and cross-attraction system

open access: yesAdvances in Nonlinear Analysis, 2021
We consider a degenerate chemotaxis model with two-species and two-stimuli in dimension d ≥ 3 and find two critical curves intersecting at one point which separate the global existence and blow up of weak solutions to the problem.
Carrillo Antonio José, Lin Ke
doaj   +1 more source

A class of diffusion problem of Kirchhoff type with viscoelastic term involving the fractional Laplacian

open access: yes, 2020
This work is concerned with a class of diffusion problem of Kirchhoff type with viscoelastic term and nonlinear interior source in the setting of the fractional Laplacian.
LAPA, Eugenio Cabanillas   +3 more
core   +1 more source

Blow-up for logarithmic viscoelastic equations with delay and acoustic boundary conditions

open access: yesAdvances in Nonlinear Analysis, 2023
In the present work, we establish a blow-up criterion for viscoelastic wave equations with nonlinear damping, logarithmic source, delay in the velocity, and acoustic boundary conditions.
Park Sun-Hye
doaj   +1 more source

On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain

open access: yesAdvances in Nonlinear Analysis, 2021
We study the wave inequality with a Hardy ...
Jleli Mohamed   +2 more
doaj   +1 more source

Orbital Stability of Solitary Waves to Fourth Order Dispersive Equations with Quadratic Nonlinearity [PDF]

open access: yes, 2019
[Kolkovska N.; Кольковска Н.]; [Dimova M.; Димова М.]; [Kutev N.; Kutev Nikolai; Кутев Николай]2010 Mathematics Subject Classification: 35B44 ...
Dimova, M., Kutev, N., Kolkovska, N.
core  

Long time decay of incompressible convective Brinkman-Forchheimer in L2(ℝ3)

open access: yesDemonstratio Mathematica
In this article, we study the global existence, uniqueness, and continuity for the solution of incompressible convective Brinkman-Forchheimer on the whole space R3{{\mathbb{R}}}^{3} when 4μβ≥14\mu \beta \ge 1.
Jlali Lotfi, Benameur Jamel
doaj   +1 more source

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