Results 51 to 60 of about 746 (89)

Chemotaxis-consumption system with Robin boundary conditions coupled to the (Navier–)Stokes equations

Advances in Nonlinear Analysis
In this paper, we consider the chemotaxis-consumption system on a bounded smooth domain Ω⊂Rn,n=2,3 ${\Omega}\subset {\mathbb{R}}^{n},n=2,3$ , with fluid ...
Kim Dongkwang, Ahn Jaewook
doaj   +1 more source

Uniqueness of limit flow for a class of quasi-linear parabolic equations

Advances in Nonlinear Analysis, 2017
We investigate the issue of uniqueness of the limit flow for a relevant class of quasi-linear parabolic equations defined on the whole space. More precisely, we shall investigate conditions which guarantee that the global solutions decay at infinity ...
Squassina Marco, Watanabe Tatsuya
doaj   +1 more source

Blow-up of waves on singular spacetimes with generic spatial metrics. [PDF]

Lett Math Phys, 2022
Fajman D, Urban L.
europepmc   +1 more source

Well-posedness of damped Kirchhoff-type wave equation with fractional Laplacian

Advanced Nonlinear Studies
In the present paper, we study the well-posedness of the solution to the initial boundary value problem for the damped Kirchhoff-type wave equation with fractional Laplacian.
Chen Shaohua, Han Jiangbo, Xu Runzhang, Yang Chao, Zhang Meina   +4 more
doaj   +1 more source

Self-similar blow-up solutions of the four-dimensional Schrödinger-Wave system

Advances in Nonlinear Analysis
This article is primarily dedicated to the investigation of the initial value problem for the Schrödinger-wave system in dimension four. By employing self-similar transformations in conjunction with the Banach fixed-point theorem, we establish the ...
Hou Wenhe, Li Fangfang, Ma Yansheng, Zhang Dan   +3 more
doaj   +1 more source

Blow-Up Results for Higher-Order Evolution Differential Inequalities in Exterior Domains

Advanced Nonlinear Studies, 2019
We consider a higher-order evolution differential inequality in an exterior domain of ℝN{\mathbb{R}^{N}}, N≥3{N\geq 3}, with Dirichlet and Neumann boundary conditions.
Jleli Mohamed, Kirane Mokhtar, Samet Bessem   +2 more
doaj   +1 more source

Existence of positive radial solutions of general quasilinear elliptic systems

Advances in Nonlinear Analysis
Let Ω⊂Rn(n≥2)\Omega \subset {{\mathbb{R}}}^{n}\hspace{0.33em}\left(n\ge 2) be either an open ball BR{B}_{R} centred at the origin or the whole space. We study the existence of positive, radial solutions of quasilinear elliptic systems of the form Δpu=f1(∣
Devine Daniel
doaj   +1 more source

Concentration with a single sign-changing layer at the higher critical exponents

Advances in Nonlinear Analysis, 2018
We exhibit a new concentration phenomenon for the supercritical ...
Clapp Mónica, Faya Jorge
doaj   +1 more source

On blow-up for the supercritical defocusing nonlinear wave equation

Forum of Mathematics, Pi
In this paper, we consider the defocusing nonlinear wave equation $-\partial _t^2u+\Delta u=|u|^{p-1}u$ in $\mathbb {R}\times \mathbb {R}^d$ .
Feng Shao, Dongyi Wei, Zhifei Zhang
doaj   +1 more source

Blow-up analysis for some mean field equations involving probability measures from statistical hydrodynamics

, 2011
Motivated by the mean field equations with probability measure derived by Sawada-Suzuki and by Neri in the context of the statistical mechanics description of two-dimensional turbulence, we study the semilinear elliptic equation with probability measure:
Ricciardi, Tonia, Zecca, Gabriella
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