Results 261 to 270 of about 6,843,871 (313)
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2013
Abstract In Chapter 31, we prove future global existence in the case that the initial data are specified on the 3-torus, and assuming the initial data are close to those of de Sitter space. The proof is a bootstrap argument, one important ingredient being a system of differential inequalities.
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Abstract In Chapter 31, we prove future global existence in the case that the initial data are specified on the 3-torus, and assuming the initial data are close to those of de Sitter space. The proof is a bootstrap argument, one important ingredient being a system of differential inequalities.
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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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