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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
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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
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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
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Existence and smoothness of a class of Burgers equations
Partial Differential Equations in Applied Mathematics, 2021 In this paper we consider a class of Burgers equations. We propose a new method for investigation for existence of classical solutions.
Svetlin G. Georgiev, Gal Davidi
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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
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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
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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
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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
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The Non-Linear Fokker–Planck Equation in Low-Regularity Space
Mathematics, 2022 We construct the global existence and exponential time decay rates of mild solutions to the non-linear Fokker–Planck equation near a global Maxwellians with small-amplitude initial data in the low regularity function space Lk1LT∞Lv2 where the regularity ...
Yingzhe Fan, Bo Tang
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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
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