Results 131 to 140 of about 198,923 (186)
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2008
Abstract This chapter is an introduction to hyperbolic equations. The topic is of central importance in general relativity since the Einstein evolution equations are themselves essentially hyperbolic as are the equations of motion of many of the matter fields frequently used. The qualification ‘essentially’ is explained in Chapter 9.
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Abstract This chapter is an introduction to hyperbolic equations. The topic is of central importance in general relativity since the Einstein evolution equations are themselves essentially hyperbolic as are the equations of motion of many of the matter fields frequently used. The qualification ‘essentially’ is explained in Chapter 9.
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2003
Abstract Hyperbolic equations are the easiest scalar second-order equations to classify from the point of view of the Cauchy problem. They occur commonly in practical applications, as is evident from studying the models of Chapter 2.
John Ockendon +3 more
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Abstract Hyperbolic equations are the easiest scalar second-order equations to classify from the point of view of the Cauchy problem. They occur commonly in practical applications, as is evident from studying the models of Chapter 2.
John Ockendon +3 more
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Weakly Degenerate Hyperbolic Equations
Differential Equations, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hyperbolic Schrödinger equation
Advances in Applied Clifford Algebras, 2004Clifford algebra corresponds to Minkwoski space. The coupling between real object particles and light quantums can be discussed by Minkowski space’s directional strangeness. We introduce Galilei transfomation and Schrodinger equation into Minkowski space and give a geometrical explanation for classical quantum theory.
Zhao Zheng, Yu Xuegang
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AIP Conference Proceedings, 2012
The introduction of the relaxation time into classical constitutive relations yields the hyperbolic modification of the reaction-diffusion-convection equation. Conditions under which all global solutions are uniformly globally oscillatory are shown.
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The introduction of the relaxation time into classical constitutive relations yields the hyperbolic modification of the reaction-diffusion-convection equation. Conditions under which all global solutions are uniformly globally oscillatory are shown.
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New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race
New England Journal of Medicine, 2021Lesley A Inker +2 more
exaly
1993
The present survey is devoted to the linear hyperbolic equations and systems. The concept of a hyperbolic equation first appeared in the case of a second-order equation $$Pu = \sum\limits_{i,j = 0}^n {{a_{ij}}} {\partial _i}{\partial _j}u = 0$$ (0.1) with constant coefficients.
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The present survey is devoted to the linear hyperbolic equations and systems. The concept of a hyperbolic equation first appeared in the case of a second-order equation $$Pu = \sum\limits_{i,j = 0}^n {{a_{ij}}} {\partial _i}{\partial _j}u = 0$$ (0.1) with constant coefficients.
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Nonlinear Hyperbolic Equations
1996Here we study nonlinear hyperbolic equations, with emphasis on quasi-linear systems arising from continuum mechanics, describing such physical phenomena as vibrating strings and membranes and the motion of a compressible fluid, such as air.
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