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Actually Existing Globalization
2000There are two great, world-encompassing changes associated with the last quarter of the twentieth century: the rapid integration of the global economy and the unprecedented decline in the economic role of the state in most countries. The first of these, usually referred to as ‘globalization’, represents not a new direction but an acceleration of the ...
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2003
Abstract This chapter contains a complete proof of the existence of global-in-time variational solutions for the full system of the Navier-Stokes equations of a viscous compressible and heat conducting fluid under suitable restrictions imposed on the constitutive laws.
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Abstract This chapter contains a complete proof of the existence of global-in-time variational solutions for the full system of the Navier-Stokes equations of a viscous compressible and heat conducting fluid under suitable restrictions imposed on the constitutive laws.
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Global Existence for Semilinear Parabolic Systems
SIAM Journal on Mathematical Analysis, 1989The paper is concerned with global existence of solutions to problems involving a semilinear parabolic system \[ v_ t(x,t)=D\Delta v(x,t)+f(v(x,t)),\quad x\in \Omega,\quad t>0, \] where \(\Omega \subset {\mathbb{R}}^ n\), bounded and with a smooth boundary, D is an \(m\times m\) diagonal matrix with positive diagonal entries, \[ v(x,0)=v_ 0(x)\in L ...
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Global Existence for Two Laser Models
Mathematical Models and Methods in Applied Sciences, 1997We compare two one-dimensional models giving a simplified description for some nonlinear regimes in laser physics. For these two models, we prove the existence of a global solution, and, for one of them, the existence of a global attractor.
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Criteria ensuring global existence
2013Abstract In Chapter 26, we formulate criteria ensuring future global existence of solutions (in the spatially homogeneous setting). Moreover, we provide some rough conclusions concerning the asymptotics. Finally, we discuss the case of isotropic initial data on the 3-sphere.
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Global existence for nonlocal MEMS
Nonlinear Analysis: Theory, Methods & Applications, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CASSANI, DANIELE +2 more
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Does a Global Temperature Exist?
Journal of Non-Equilibrium Thermodynamics, 2007Physical, mathematical, and observational grounds are employed to show that there is no physically meaningful global temperature for the Earth in the context of the issue of global warming. While it is always possible to construct statistics for any given set of local temperature data, an infinite range of such statistics is mathematically permissible ...
Essex, Christopher +2 more
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Global existence and global non-existence of solutions to a reaction-diffusion system
Nonlinear Analysis: Theory, Methods & Applications, 2000Let \(\Omega\) be a bounded domain in \(\mathbb{R}^n\) with \(C^2\) boundary \(\partial\Omega\). By a classification of the nonnegative real numbers, \(p_i\) and \(q_i\), \(i= 1,2\), several criteria for global existence and non-existence of positive solutions are given for the weakly coupled reaction-diffusion system \[ u_t= \Delta u+ u^{p_1} v^{q_1 ...
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Existence of Global Minima for Constrained Optimization
Journal of Optimization Theory and Applications, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ozdaglar, A. E., Tseng, P.
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