Results 1 to 10 of about 111,604 (114)

Uniqueness and Non-uniqueness in the Einstein Constraints [PDF]

, 2003
The conformal thin sandwich (CTS) equations are a set of four of the Einstein equations, which generalize the Laplace-Poisson equation of Newton's theory.
Arand, M., Bergfors, T., Bont, J.A.M. de, Hallberg, B.M., Jones, T.A., Mowbray, S.L., Oesch, F., Werf, M.J. van der, Zou, J.   +8 more
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Weighted extended B-spline finite element analysis of a coupled system of general elliptic equations [PDF]

International Journal of Advances in Engineering Sciences and Applied Mathematics, 2018
In this study we establish the existence and uniqueness of the solution of a coupled system of general elliptic equations with anisotropic diffusion , non-uniform advection and variably influencing reaction terms on Lipschitz continuous domain $ \subset \mathbb{R}^m $ (m$\geq$1) with a Dirichlet boundary.
Chakraborty, Ayan, Kumar, B. V. Rathish
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Distributed Control of Systems Governed by a General Class of Quasilinear Elliptic Equations

Journal of Differential Equations, 1993
Let \(\Omega\) be a bounded open subset of \(\mathbb{R}^ N\) with Lipschitz continuous boundary; let \(a: \Omega\times \mathbb{R}^ N\to \mathbb{R}^ N\), \(a_ 0: \Omega\times\mathbb{R}\to \mathbb{R}\) be two Carathéodory functions, \(C^ 1\) in the second variable, such that \[ \sum_{i,j=1}^ N \partial_{N+i} a_ j (.,\eta) \xi_ i\xi_ j\geq \Lambda_ 1(k+| \
Casas, E., Fernandez, L.A.
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Knot points of a double-covariant system of elliptic equations and preferred frames in general relativity [PDF]

Journal of Physics A: Mathematical and General, 2002
The elliptic system of equations, which is general-covariant and locally SU(2)-covariant, is investigated. The new condition of the Dirichlet problem solvability and the condition of zeros absence for solutions are obtained for this system, which contains in particular case the Sen-Witten equation.
openaire   +3 more sources

More Evidence for the WDVV Equations in N=2 SUSY Yang-Mills Theories [PDF]

, 1997
We consider 4d and 5d N=2 supersymmetric theories and demonstrate that in general their Seiberg-Witten prepotentials satisfy the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations.
A. MARSHAKOV, A. MIRONOV, A. MOROZOV, Donagi R., Dubrovin B., Martinec E.   +5 more
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Waveless Approximation Theories of Gravity [PDF]

, 2007
The analysis of a general multibody physical system governed by Einstein's equations in quite difficult, even if numerical methods (on a computer) are used.
JAMES A. ISENBERG, Misnor C. W., Thorne K. S., York J. W.   +3 more
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Some estimates for elliptic systems generalizing the Bitsadze system of equations

Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
   This article explores an elliptic system of n equations where the main part is the Bitsadze operator (the square of the Cauchy–Riemann operator) and the lower term is the product of a given matrix function by the conjugate of the desired vector function. The system was analyzed in the Banach space of vector functions that are bounded and uniformly H¨
S. Baizaev, R. N. Barotov
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Adaptive Mesh Refinement for Coupled Elliptic-Hyperbolic Systems

, 2006
We present a modification to the Berger and Oliger adaptive mesh refinement algorithm designed to solve systems of coupled, non-linear, hyperbolic and elliptic partial differential equations.
Abrahams, Abrahams, Abrahams, Almgren, Andersson, Arnowitt, Bardeen, Berger, Berger, Bonazzola, Brandt, Brown, Brown, Brügmann, Brügmann, Choptuik, Choptuik, Choptuik, Choptuik, Choptuik, Choptuik, Choptuik, Choptuik, Cook, Diener, Dimmelmeier, Duez, Evans, Evans, Frans Pretorius, Garfinkle, Hamade, Hamade, Holst, Imbiriba, Lehner, Liebling, Liebling, Lindblom, Matthew W. Choptuik, Matzner, McCormick, Misner, Nakamura, New, Olabarrieta, Papadopoulos, Pfeiffer, Piran, Pretorius, Pretorius, Schnetter, Shapiro, Stark, Trottenberg, Ventrella, York   +56 more
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On some Gaussian Bernstein processes in RN and the periodic Ornstein-Uhlenbeck process [PDF]

, 2015
In this article we prove new results regarding the existence of Bernstein processes associated with the Cauchy problem of certain forward-backward systems of decoupled linear deterministic parabolic equations defined in Euclidean space of arbitrary ...
Vuillermot, Pierre-A., Zambrini, Jean-C.
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Relativistic MHD and black hole excision: Formulation and initial tests

, 2005
A new algorithm for solving the general relativistic MHD equations is described in this paper. We design our scheme to incorporate black hole excision with smooth boundaries, and to simplify solving the combined Einstein and MHD equations with AMR.
Anton L Zanotti O Miralles J A Marti J M Ibanez J M Font J A Pons J A, Arnowitt R, Blandford R D, David Neilsen, De Villiers J-P Hawley J F, Duez M D Liu Y T Shapiro S L Stephens B C, Eric W Hirschmann, Giacomazzo B, Komissarov S S, Lehner L, Lehner L, Lehner L Reula O, Lehner L Reula O Tiglio M, Lucas-Serrano A Font J A Ibanez J M Marti J M, R Steven Millward, Scheel M, Sebastian K, Shu C-W, Sloan J, Tang H S, Thornburg J, Thornburg J, Thornburg J   +22 more
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