Results 1 to 10 of about 8,296,108 (395)
Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection [PDF]
arXiv, 2020 We study the Kuramoto-Sivashinsky equation (KSE) in scalar form on the two-dimensional torus with and without advection by an incompressible vector field. We prove local existence of mild solutions for arbitrary data in L2. We then study the issue of global existence. We prove global existence for the KSE in the presence of advection for arbitrary data,
Yuanyuan Feng, A. Mazzucato
arxiv +3 more sources
Co-Existence of Civilizations in the Global Era
Glocalism: Journal of Culture, Politics and Innovation, 2020 In the most general terms, “civilization” relates to the unique constitution of a “life-world”, defined by a coherent “worldview” (Weltanschauung) on the basis of continuity.
Hans Köchler
doaj +4 more sources
Global existence for semilinear damped wave equations in relation with the Strauss conjecture [PDF]
arXiv, 2018 We study the global existence of solutions to semilinear wave equations with power-type nonlinearity and general lower order terms on $n$ dimensional nontrapping asymptotically Euclidean manifolds, when $n=3, 4$. In addition, we prove almost global existence with sharp lower bound of the lifespan for the four dimensional critical problem.
Mengyun Liu, Chengbo Wang
arxiv +3 more sources
Almost global existence for the Prandtl boundary layer equations
, 2015 We consider the Prandtl boundary layer equations on the half plane, with initial datum that lies in a weighted $H^1$ space with respect to the normal variable, and is real-analytic with respect to the tangential variable.
Ignatova, Mihaela, Vicol, Vlad
core +2 more sources
Global existence and stability of three species predator-prey system with prey-taxis
Mathematical Biosciences and Engineering, 2023 In this paper, we study the following initial-boundary value problem of a three species predator-prey system with prey-taxis which describes the indirect prey interactions through a shared predator, i.e., $ \begin{align*} \begin{cases} u_t = d ...
Gurusamy Arumugam
doaj +1 more source
The existence of a compact global attractor for a class of competition model
AIMS Mathematics, 2021 This paper is concerned with the existence of a compact global attractor for a class of competition model in n−dimensional (n ≥ 1) domains. Using mathematical induction and more detailed interpolation estimates, especially Gagliardo-Nirenberg inequality,
Yanxia Wu
doaj +1 more source
Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation
Advances in Nonlinear Analysis, 2020 In this paper, the initial boundary value problem for a nonlocal semilinear pseudo-parabolic equation is investigated, which was introduced to model phenomena in population dynamics and biological sciences where the total mass of a chemical or an ...
Xingchang Wang, Runzhang Xu
semanticscholar +1 more source
Demonstratio Mathematica, 2021 We consider strong damped wave equation involving the fractional Laplacian with nonlinear source. The results of global solution under necessary conditions on the critical exponent are established.
Bidi Younes +3 more
doaj +1 more source
Decay estimate and non-extinction of solutions of p-Laplacian nonlocal heat equations
AIMS Mathematics, 2020 The main goal of this work is to study the initial boundary value problem of a nonlocal heat equations with logarithmic nonlinearity in a bounded domain. By using the logarithmic Sobolev inequality and potential wells method, we obtain the decay, blow-up
Sarra Toualbia +2 more
doaj +1 more source
AIMS Mathematics, 2021 In this paper, we study the initial-boundary value problem for a class of fractional p-Laplacian Kirchhoff diffusion equation with logarithmic nonlinearity.
Fugeng Zeng, Peng Shi, Min Jiang
doaj +1 more source