Relativistic Burgers Models on Curved Background Geometries

Relativistic Burgers Models on Curved Background Geometries Okutmuştur, Baver (Springer-Verlag, 2019-01-01) Relativistic Burgers model and its generalization to various spacetime geometries are recently studied both theoretically and numerically. The numeric implementation is based on finite volume and finite difference approximation techniques designed for the corresponding model on the related geometry. In this work, we provide a summaryof several versions of these models on the Schwarzschild, de Sitter, Schwarzschild-de Sitter, FLRW and Reissner-Nordstr¨om spacetime geometries with their particular properties.
Relativistic Burgers equations on a curved spacetime Okutmuştur, Baver (null; 2012-06-29)
RELATIVISTIC BURGERS EQUATIONS ON CURVED SPACETIMES. DERIVATION AND FINITE VOLUME APPROXIMATION Lefloch, Philippe G.; Makhlof, Hasan; Okutmuştur, Baver (2012-01-01) Within the class of nonlinear hyperbolic balance laws posed on a curved spacetime (endowed with a volume form), we identify a hyperbolic balance law that enjoys the same Lorentz invariance property as the one satisfied by the Euler equations of relativistic compressible fluids. This model is unique up to normalization and converges to the standard inviscid Burgers equation in the limit of infinite light speed. Furthermore, from the Euler system of relativistic compressible flows on a curved background, we d...
RELATIVISTIC DESCRIPTION OF HEAVY Q(Q)OVER-BAR BOUND-STATES ZAKOUT, I; Sever, Ramazan (1994-10-01) We study the relativistic description of heavy qqBAR bound states in the context of the relativistic wave equation. We used some attractive QCD based potentials where the vector part incorporates in the two loop perturbation QCD effects at short distances while the scalar part approaches the linear confining potential at large distances. We calculate the energy levels, leptonic and hadronic decay widths, as well as the E1 rate transition for ccBAR and bbBAR. Results are compared with their experimental v...
Relativistic Two-Dimensional Harmonic Oscillator Plus Cornell Potentials in External Magnetic and AB Fields Ikhdair, Sameer M.; Sever, Ramazan (Hindawi Limited, 2013) <jats:p>The Klein-Gordon (KG) equation for the two-dimensional scalar-vector harmonic oscillator plus Cornell potentials in the presence of external magnetic and Aharonov-Bohm (AB) flux fields is solved using the wave function ansatz method. The exact energy eigenvalues and the wave functions are obtained in terms of potential parameters, magnetic field strength, AB flux field, and magnetic quantum number. The results obtained by using different Larmor frequencies are compared with the results in the absenc...

Citation Formats

B. Okutmuştur, “Relativistic Burgers Models on Curved Background Geometries,” 2018, vol. 11386, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37497.