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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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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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Optimal version of the Picard–Lindelöf theorem
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Consider the differential equation $y'=F(x,y)$. We determine the weakest possible upper bound on $|F(x,y)-F(x,z)|$ which guarantees that this equation has for all initial values a unique solution, which exists globally.
Jan-Christoph Schlage-Puchta
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On a viscoelastic heat equation with logarithmic nonlinearity
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This work deals with the following viscoelastic heat equations with logarithmic nonlinearity \begin{align*} u_t-\Delta u+\int_{0}^{t}g(t-s)\Delta u(s)ds=\vert u\vert^{p-2}u\ln\vert u\vert.
Nguyen Van Y, Nhan Le, Le Xuan Truong
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Global existence and boundedness for quasi-variational systems
International Journal of Mathematics and Mathematical Sciences, 1999 We consider quasi-variational ordinary differential systems, which may be considered as the motion law for holonomic mechanical systems. Even when the potential energy of the system is not bounded from below, by constructing appropriate Liapunov ...
Giancarlo Cantarelli
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Blow-up analysis for a doubly nonlinear parabolic system with multi-coupled nonlinearities
Electronic Journal of Qualitative Theory of Differential Equations, 2012 This paper deals with the global existence and the global nonexistence of a doubly nonlinear parabolic system coupled via both nonlinear reaction terms and nonlinear boundary flux.
Jian Wang, Yanyan Ge
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