Results 31 to 40 of about 2,019,917 (274)
Uniform boundedness and extinction results of solutions to a predator–prey system
Electronic Journal of Qualitative Theory of Differential Equations, 2020 Global existence, positivity, uniform boundedness and extinction results of solutions to a system of reaction-diffusion equations on unbounded domain modeling two species on a predator–prey relationship is considered.
Mokhtar Kirane +2 more
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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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On the global existence for the Muskat problem
Journal of the European Mathematical Society, 2012 The Muskat problem models the dynamics of the interface between two incompressible immiscible fluids with different constant densities. In this work we prove three results. First we prove an L^2(\mathbb R) maximum principle, in the form of a new "log'' conservation law which is ...
D. Cordoba +3 more
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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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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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Decay estimate and non-extinction of solutions of p-Laplacian nonlocal heat equations
AIMS Mathematics, 2020 The main goal of this work is to study the initial boundary value problem of a nonlocal heat equations with logarithmic nonlinearity in a bounded domain. By using the logarithmic Sobolev inequality and potential wells method, we obtain the decay, blow-up
Sarra Toualbia +2 more
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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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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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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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