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Dimensionally continued wormhole solutions
Physical Review D, 1994In this paper we consider wormhole solutions for the action of special Lovelock gravity'' recently discussed by Banados, Teitelboim, and Zanelli. This action is, in odd dimensions, the Chern-Simons form for the anti--de Sitter group and, in even dimensions, the Euler density constructed with the Lorentz part of the anti--de Sitter curvature tensor.
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Continuity of the solution of the Riccati equations for continuous time JLQP
IEEE Transactions on Automatic Control, 2000Here, it is proved that if the Markovian, jump linear quadratic control problem is observable and stochasticly stabilizable, the solution to differential and algebraic Riccati equations for a continuous time is continuous as a function of the coefficients.
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Continuation of Periodic Solutions
1992In the last chapter, some local results about periodic solutions of Hamiltonian systems were presented. The systems contain a parameter, and the conditions under which a periodic solution can be continued in the parameter were discussed. Since Poincare used these ideas extensively, it has become known as Poincare’s continuation method.
Kenneth R. Meyer, Glen R. Hall
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Continuation and direct solution of the flutter equation
Computers & Structures, 1978Abstract A new formulation of the flutter equation allowing efficient solutions both by a continuation and a direct method is herewith presented. The continuation method differentiates the flutter equation with respect to the speed giving rise to a system of differential equations whose solution permits an easy and efficient tracking of the ...
CARDANI, CESARE, MANTEGAZZA, PAOLO
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Solutions to the equation of continuity
American Journal of Physics, 1980Solutions to the one-dimensional continuity equation are discussed for nonsteady flows.
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Constructing Continuous Solutions
2017This chapter demonstrates how the preceding construction, combined with a few estimates from Part V, can be used to prove the Main Lemma for continuous solutions. The first step is to mollify the velocity, followed by mollification of the stress. The lifespan is then chosen, preferring a small parameter to ensure that the first term in the parametrix ...
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2006
Abstract This chapter addresses a main issue of the theory, namely, the continuity of the solutions for times t > 0. The equation treated in this chapter is a generalized version of the GPME. The question of continuity is introduced in Section 7.1.
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Abstract This chapter addresses a main issue of the theory, namely, the continuity of the solutions for times t > 0. The equation treated in this chapter is a generalized version of the GPME. The question of continuity is introduced in Section 7.1.
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Solutions of the continuity equation
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1978Abstract Solutions are obtained to the continuity equation for the transport of a quantity f(r, t) by a velocity v or the change of a distribution n(r, t) by a growth rate ṙ. When v is a separable function of r and t, explicit solutions are obtained from the formal solutions known in hydrodynamics theory which are extended to include ...
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Continuous Dependence of Solutions
2002In this chapter, we investigate the L 1 continuous dependence of solutions for systems of conservation laws. We restrict attention to solutions generated in the limit of piecewise approximate solutions and we refer to Chapter X for a discussion of the uniqueness of general solutions with bounded variation.
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Absolutely continuous solutions
2013The theory of the calculus of variations at the turn of the twentieth century lacked a critical component: it had no existence theorems. These constitute an essential ingredient of the deductive method, the approach whereby one combines existence, rigorous necessary conditions, and examination of candidates to arrive at a solution.
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