Results 1 to 10 of about 6,843,752 (194)
Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility [PDF]
, 2021 Global existence is established for classical solutions to a chemotaxis model with signal-dependent motility for a general class of motility functions γ which may in particular decay in an arbitrary way at infinity.
Jie Jiang, Philippe Laurencçot
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Global existence for a kinetic model of pattern formation with density-suppressed motilities [PDF]
Journal of Differential Equations, 2020 In this paper, we consider global existence of classical solutions to the following kinetic model of pattern formation \begin{equation} \begin{cases} u_t=\Delta (\gamma (v)u)+\mu u(1-u) -\Delta v+v=u \end{cases} \qquad (0.1) \end{equation}in a smooth ...
Kentarou Fujie, Jie Jiang
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Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation [PDF]
Mathematica Bohemica, 2020 We study the existence of global in time and uniform decay of weak solutions to the initial-boundary value problem related to the dynamic behavior of evolution equation accounting for rotational inertial forces along with a linear nonlocal frictional ...
Mohamed Berbiche
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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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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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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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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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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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Local and Global Existence of Solution for Love Type Waves with Past History
Mathematics, 2020 In this paper, we consider an initial boundary value problem for nonlinear Love equation with infinite memory. By combining the linearization method, the Faedo–Galerkin method, and the weak compactness method, the local existence and uniqueness of weak ...
Mohamed Biomy +2 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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