Results 21 to 30 of about 746 (89)

Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data

, 2015
A simple proof of the existence of solutions for the two-dimensional Keller-Segel model with measures with all the atoms less than $8\pi$ as the initial data is given.
Biler, Piotr, Zienkiewicz, Jacek
core   +1 more source

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

Demonstratio 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

Wave breaking of periodic solutions to the Fornberg-Whitham equation

, 2017
Based on recent well-posedness results in Sobolev (or Besov spaces) for periodic solutions to the Fornberg-Whitham equations we investigate here the questions of wave breaking and blow-up for these solutions.
Hoermann, Guenther
core   +1 more source

Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case

Advances in Nonlinear Analysis, 2021
Our purpose of this paper is to study positive solutions of Lane-Emden ...
Ma Yong, Wang Ying, Ledesma César T.
doaj   +1 more source

A Fujita-type blowup result and low energy scattering for a nonlinear Schr\"o\-din\-ger equation

, 2015
In this paper we consider the nonlinear Schr\"o\-din\-ger equation $i u_t +\Delta u +\kappa |u|^\alpha u=0$. We prove that if $\alpha
Cazenave, Thierry, Correia, Simão, Dickstein, Flávio, Weissler, Fred B.   +3 more
core   +3 more sources

Improved Kato's lemma on ordinary differential inequality and its application to semilinear wave equations

, 2015
We are interested in the upper bound of the lifespan of solutions of semilinear wave equations from above. For the sub-critical case in high dimensions, it has been believed that the basic tools of its analysis are Kato's lemma on ordinary differential ...
Takamura, Hiroyuki
core   +1 more source

On the profile of sign changing solutions of an almost critical problem in the ball

, 2012
We study the existence and the profile of sign-changing solutions to the slightly subcritical problem $$ -\De u=|u|^{2^*-2-\eps}u \hbox{in} \cB, \quad u=0 \hbox{on}\partial \cB, $$ where $\cB$ is the unit ball in $\rr^N$, $N\geq 3$, $2^*=\frac{2N}{N-2}$
Bartsch, Thomas, D'Aprile, Teresa, Pistoia, Angela   +2 more
core   +1 more source

Formation of singularities for a linearly degenerate hyperbolic system arising in magnetohydrodynamics

Advances in Nonlinear Analysis
This article is concerned with the singularity formation of smooth solutions for a nonhomogeneous hyperbolic system arising in magnetohydrodynamics. The system owns four linearly degenerate characteristic fields that influence each other in the relations
Hu Yanbo, Zeng Ying
doaj   +1 more source

Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type Equation

Advanced Nonlinear Studies, 2021
In this paper we study the existence as well as uniform decay rates of the energy associated with the nonlinear damped Schrödinger equation,
Cavalcanti Marcelo M., Domingos Cavalcanti Valéria N.   +1 more
doaj   +1 more source

Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system

, 2017
It is well-known that the Neumann initial-boundary value problem for the minimal-chemotaxis-logistic system in a 2D bounded smooth domain has no blow-up for any choice of parameters. Here, for a large class of kinetic terms including sub-logistic sources,
Xiang, Tian
core   +1 more source