Results 11 to 20 of about 6,210,205 (314)
ON THE GLOBAL EXISTENCE OF TIME [PDF]
International Journal of Modern Physics D, 2009 The global existence of time is often taken for granted but should instead be considered for investigation. Using the tools of global Lorentzian geometry the author shows that, under physically reasonable conditions, the impossibility of finding a global time implies the singularity of space–time.
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Global Existence Analysis of Cross-Diffusion Population Systems for Multiple Species [PDF]
, 2016 The existence of global-in-time weak solutions to reaction-cross-diffusion systems for an arbitrary number of competing population species is proved. The equations can be derived from an on-lattice random-walk model with general transition rates.
Xiuqing Chen, Esther S. Daus, A. Jüngel
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The derivative NLS equation: global existence with solitons [PDF]
, 2017 We extend the global existence result for the derivative NLS equation to the case when the initial datum includes a finite number of solitons. This is achieved by an application of the B\"{a}cklund transformation that removes a finite number of zeros of ...
Yusuke Shimabukuro +2 more
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Global Existence for Capillary Water Waves [PDF]
Communications on Pure and Applied Mathematics, 2014 Consider the capillary water waves equations, set in the whole space with infinite depth, and consider small data (i.e., sufficiently close to zero velocity, and constant height of the water). We prove global existence and scattering. The proof combines in a novel way the energy method with a cascade of energy estimates, the space‐time resonance method
Germain, Pierre +2 more
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Existence of global strings coupled to gravity [PDF]
Physical Review D, 1989 We consider σ-model strings and U(1) global strings coupled to gravity and look for static solutions with whole cylinder symmetry. We prove that in both cases there are no regular spatially compact solutions. The U(1) global string admits no asymptotically well-behaved solutions, whereas cr model strings can be constructed under certain assumptions ...
Ruiz Ruiz, Fernando +2 more
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Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption [PDF]
, 2016 This paper deals with the homogeneous Neumann boundary-value problem for the chemotaxis-consumption system \begin{eqnarray*} \begin{array}{llc} u_t=\Delta u-\chi\nabla\cdot (u\nabla v)+\kappa u-\mu u^2,\\ v_t=\Delta v-uv, \end{array} \end{eqnarray*} in $
J. Lankeit, Yulan Wang
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Global Existence of Near-Affine Solutions to the Compressible Euler Equations [PDF]
Archive for Rational Mechanics and Analysis, 2017 We establish the global existence of solutions to the compressible Euler equations, in the case that a finite volume of ideal gas expands into a vacuum.
S. Shkoller, T. Sideris
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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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Global existence for quasilinear wave equations close to Schwarzschild [PDF]
Communications in Partial Differential Equations, 2016 In this article, we study the quasilinear wave equation where the metric is close (and asymptotically equal) to the Schwarzschild metric . Under suitable assumptions of the metric coefficients, and assuming that the initial data for u is small enough, we
Hans Lindblad, M. Tohaneanu
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On the global existence and blowup of smooth solutions to the multi-dimensional compressible Euler equations with time-depending damping [PDF]
, 2016 In this paper, we are concerned with the global existence and blowup of smooth solutions to the multi-dimensional compressible Euler equations with time-depending damping {∂tρ+div (ρu)=0,∂t(ρu)+div (ρu⊗u+pId)=−α(t)ρu,ρ(0,x)=ρ¯+ερ0(x),u(0,x)=εu0(x), where
Fei Hou, Huicheng Yin
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