A notion of renormahzed solution of the study of a general conservation law.
PATRICK URRUTY (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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PATRICK URRUTY (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Guy Vallet (2000)
Revista Matemática Complutense
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In this paper we propose the study of a first-order non-linear hyperbolic equation in a bounded domain. We give a result of existence and uniqueness of the entropic measure-valued solution and of the entropic weak solution; for some general assumptions on the data.
R. Ramírez, N. Sadovskaia (1996)
Collectanea Mathematica
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The aim of this paper is to construct the analytic vector fields with given as trajectories or solutions. In particular we construct the polynomial vector field from given conics (ellipses, hyperbola, parabola, straight lines) and determine the differential equations from a finite number of solutions.
L. Carlitz (1965)
Collectanea Mathematica
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S. Peter Farbman (1995)
Publicacions Matemàtiques
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The question of whether two parabolic elements A, B of SL(C) are a free basis for the group they generate is considered. Some known results are generalized, using the parameter τ = tr(AB) - 2. If τ = a/b ∈ Q, |τ| < 4, and |a| ≤ 16, then the group is not free. If the subgroup generated by b in Z / aZ has a set of representatives, each of which divides one of b ± 1, then the subgroup of SL(C) will not be free.
Hamid Elouardi, François De Thélin (1989)
Publicacions Matemàtiques
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Breves Filho, J.A. (1974)
Portugaliae mathematica
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Enrico Bombieri (1971-1972)
Séminaire Bourbaki
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F. Z. Hadjam, C. Moraga, M. K. Rahmouni (2007)
Mathware and Soft Computing
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Savić, Aleksandar (2009)
Serdica Journal of Computing
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In this paper a genetic algorithm (GA) is applied on Maximum Betweennes Problem (MBP). The maximum of the objective function is obtained by finding a permutation which satisfies a maximal number of betweenness constraints. Every permutation considered is genetically coded with an integer representation. Standard operators are used in the GA. Instances in the experimental results are randomly generated. For smaller dimensions, optimal solutions of MBP are obtained by total enumeration. For...