alexa Abstract | Solutions of the Ultra-Relativistic Euler Equations in Riemann Invariants
ISSN: 2090-0902

Journal of Physical Mathematics
Open Access

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Research Article Open Access

Abstract

In this paper we introduce a new technique for constructing solutions of the ultra-relativistic Euler equations. The Riemann invariants are formulated. We also give some applications of the Riemann invariants. We firstly study the geometric properties of the solution in Riemann invariants coordinates. The other application of Riemann invariants, representing the ultra-relativistic Euler equations in diagonal form, which admits the existence of global smooth solution for the ultra-relativistic Euler equations.

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Author(s): Abdelrahman MAE and Moaaz O

Keywords

Relativistic Euler system, Hyperbolic systems, Shock waves, Entropy conditions, Rarefaction waves, Riemann invariants, Diagonal form, Physical Mathematics, Axioms, Topology, Integration , Algebraic Geometry, Quantum Mechanics, mirror symmetry, Noether's theorem, Quantumelectrodynamics, Hamilton Mechanics, vector bundle, Riemannian Geometry, Theory of Mathematical Modeling, Fourier Analysis, Theoretical Physics, Analytical Geometry, Differential Equations, Complex Analysis.

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