Global Existence
Global existence and nonexistence for a class of parabolic systems with time-dependent coefficients
... the global existence and nonexistence of the classical solution of several similar mathematical models in [, ...the global existence of the classical solution to the boundary value problem ...
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Global Existence of Periodic Solutions in a Nonlinear Delay Coupling Chaos System
... the global existence of periodic so- lutions using a global Hopf bifurcation result due to Wu and a Bendixson’s criterion for higher di- mensional ordinary differential equations due to Li & ...
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Global existence and asymptotic behavior of solutions to a class of fourth-order wave equations
... The paper is organized as follows. In Section , we study the decay property of the solu- tion operators appearing in the solution formula. We prove global existence and asymp- totic behavior of solutions ...
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Global Existence and Asymptotic Behavior of Solutions for Some Nonlinear Hyperbolic Equation
... obtained global existence results under the growth assumptions on the nonlinear terms and initial ...These global existence results have been improved by Liu and Zhao 16 by using a new ...of ...
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Global existence for the regularized surface Quasi-geostrophic equation and its inviscid limits
... The rest of this article is organized as follows. In Section 2, we present the global existence for the regularized Equation (1.3). In Section 3, we give the regularization results for the regularized model ...
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Global existence for some neutral functional integrodifferential equations with finite delay
... In this section, we prove the global existence, uniqueness and regularity of the solution to Eq.(1.1). Firstly, we show the existence and uniqueness of the mild solution. Secondly, we give sufficient ...
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Global existence of solutions for a fractional Caputo nonlocal thermistor problem
... A broad application spectrum of thermistor problems in heating processes and current flow can be found in several areas of electronics and its related industries []. Generally, there are two kinds of thermistors: the ...
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Global existence and asymptotic behavior of solutions to a semilinear parabolic equation on Carnot groups
... In the present paper we will generalize the global existence and asymptotic results of [] and [] to the degenerate heat equation on the Carnot group G. Let us briefly dis- cuss the method we are going to ...
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Global existence and boundedness for quasi variational systems
... Abstract. We consider quasi-variational ordinary differential systems, which may be con- sidered as the motion law for holonomic mechanical systems. Even when the potential energy of the system is not bounded from below, ...
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On the global existence of 3-D magneto-hydrodynamic system in the critical spaces
... small initial density in Besov spaces. Moreover, Abidi and Hmidi [] allowed for variable viscosity and conductivity coefficients but made the essential assumption that the initial data are closed to a constant state. Chen ...
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Global existence and blow up analysis to a cooperating model with self diffusion
... is global if the intra-specific competition is strong, while the solution may blow up if the intra-specific competition is ...for global existence and finite time blow-up of the solutions are ...
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Global existence and boundedness in a reaction–diffusion–taxis system with three species
... the global existence and boundedness of system ...the global dynamics for this model, and our analysis would also apply to other three component systems for the L ∞ ...
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Global existence and blow-up for a class of nonlinear reaction diffusion problems
... This paper deals with the global existence and blow-up of the solution for a class of nonlinear reaction diffusion problems. The purpose of this paper is to establish conditions on the data to guarantee the ...
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Global existence and blow up of solutions for a nonlinear wave equation with memory
... In this section we study the global existence of solutions for problem (1.1). For this purpose, we first consider a related linear problem. Then, we use the well-known con- traction mapping theorem to prove ...
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Global Existence of Solutions of the Gierer Meinhardt System with Mixed Boundary Conditions
... In this paper, we have studied the Gierer-Meinhardt system with Robin boundary conditions and Neumann boundary conditions on the activator and inhibitor respectively. Global existence of solutions have been ...
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Global existence and exponential stability for a nonlinear Timoshenko system with delay
... Muñoz Rivera, JE, Racke, R: Mildly dissipative nonlinear Timoshenko systems - global existence and exponential stability. Muñoz Rivera, JE, Racke, R: Timoshenko systems with indefinite da[r] ...
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Global Existence of Classical Solutions to a Cancer Invasion Model
... This paper extends Chaplain and Lolas’ model to a parabolic-parabolic-parabolic chemotaxis-haptotaxis sys- tem, and we study the global existence and boundedness of solutions to this model. This paper ...
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Global existence of solutions for a class of thermoelastic plate systems
... In the present paper, our purpose is to tackle the global existence of solutions to prob- lem (1.1)–(1.3) under weaker assumptions on g and f . As in [12, 13], we employ the past history approach [14, 15], ...
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Global Existence, Uniqueness of Weak Solutions and Determining Functionals for Nonlinear Wave Equations
... We prove the global existence and uniqueness of weak solutions of the problem and then we will study the determining modes on the phase space H 2 0,1 H 01 0,1 by using energy met[r] ...
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Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations
... In this section, we prove the global existence of strong solutions to the problem 1.2–1.7 by applying the a priori estimates given in the previous section. As usual, we first mollify the initial data to get ...
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