Results 1 to 10 of about 7,959,436 (371)
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
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 H1 space with respect to the normal variable, and is real-analytic with respect to the tangential variable.
M. Ignatova, V. Vicol
semanticscholar +3 more sources
Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection [PDF]
Communications in Partial Differential Equations, 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 L 2.
Yuanyuan Feng, A. Mazzucato
semanticscholar +1 more source
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
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
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
Global existence for semilinear damped wave equations in relation with the Strauss conjecture [PDF]
Discrete and Continuous Dynamical Systems. Series A, 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 $n=3, 4$.
Mengyun Liu, Chengbo Wang
semanticscholar +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
AIMS Mathematics, 2023 In this paper, we consider a coupled system of Laplacian and bi-Laplacian equations with nonlinear dampings and source terms of variable-exponents nonlinearities. This system is supplemented with initial and mixed boundary conditions. First, we establish
Salim A. Messaoudi +3 more
doaj +1 more source
Global solvability of a chemotaxis-haptotaxis model in the whole 2-d space
Mathematical Biosciences and Engineering, 2023 This paper investigates a two-dimensional chemotaxis-haptotaxis model $ \begin{eqnarray*} \left\{\begin{array}{lll} u_t = \Delta u-\chi\nabla\cdot(u\nabla v)-\xi\nabla\cdot(u\nabla w),&{} x\in\mathbb{R}^2,\ t>0,\\ v_t = \Delta v-v+u ...
Meng Liu, Yuxiang Li
doaj +1 more source