Results 31 to 40 of about 8,147,434 (373)
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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On the global existence and blow-up for the double dispersion equation with exponential term
Electronic Research Archive, 2023 This paper deals with the initial boundary value problem for the double dispersion equation with nonlinear damped term and exponential growth nonlinearity in two space dimensions. We first establish the local well-posedness in the natural energy space by
Xiao Su, Hongwei Zhang
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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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Global existence for coupled Klein-Gordon equations with different speeds [PDF]
, 2010 Consider, in dimension 3, a system of coupled Klein-Gordon equations with different speeds, and an arbitrary quadratic nonlinearity. We show, for data which are small, smooth, and localized, that a global solution exists, and that it scatters.
Germain, Pierre
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Communications in Analysis and Mechanics, 2023 In this article, we investigate the initial-boundary value problem for a class of finitely degenerate semilinear parabolic equations with singular potential term.
Huiyang Xu
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Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption [PDF]
, 2016 This paper deals with the homogeneous Neumann boundary-value problem for the chemotaxis-consumption system \begin{eqnarray*} \begin{array}{llc} u_t=\Delta u-\chi\nabla\cdot (u\nabla v)+\kappa u-\mu u^2,\\ v_t=\Delta v-uv, \end{array} \end{eqnarray*} in $
J. Lankeit, Yulan Wang
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Global existence for quasilinear wave equations close to Schwarzschild [PDF]
Communications in Partial Differential Equations, 2016 In this article, we study the quasilinear wave equation where the metric is close (and asymptotically equal) to the Schwarzschild metric . Under suitable assumptions of the metric coefficients, and assuming that the initial data for u is small enough, we
Hans Lindblad, M. Tohaneanu
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On the Existence of Global Variational Principles
American Journal of Mathematics, 1980 In studying physical phenomena one frequently encounters differential equations which arise from a variational principle, i.e. the equations are the Euler-Lagrangequations obtained from the fundamental (or action) integral of a problem in the calculus of variations. Because solutions to the Euler-Lagrange equations determine the possible extrema of the
Anderson, Ian M., Duchamp, T.
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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
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Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system [PDF]
, 2011 This paper deals with the derivation and analysis of the the Hall Magneto-Hydrodynamic equations. We first provide a derivation of this system from a two-fluids Euler-Maxwell system for electrons and ions, through a set of scaling limits. We also propose
A. N. Simakov +25 more
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