# ÃœÃ‡ FAZLI KARI ÅžIMLARIN YERÃ‡EKÄ°MSÄ°Z ORTAMDA VE HOMOJEN KARIÅžIM ÅžARTLARINDA YATAY SÄ°LÄ°NDÄ°RÄ°K BORUDAKÄ° AKIÅžININ TEORÄ°K Ä°NCELENMESÄ°

## Related Articles

- Relativistic Lagrange formulation. Geroch, Robert; Nagy, G.; Reula, O. // Journal of Mathematical Physics;Aug2001, Vol. 42 Issue 8
It is well-known that the equations for a simple fluid can be cast into what is called their Lagrange formulation. We introduce a notion of a generalized Lagrange formulation, which is applicable to a wide variety of systems of partial differential equations. These include numerous systems of...

- Dynamics of distributed sources. Novikov, E.A.; Hourigan, K. // Physics of Fluids;Sep2003, Vol. 15 Issue 9, pL65
The dynamics of distributed sources is described by nonlinear partial differential equations. Lagrangian analytical solutions of these (and associated) equations are obtained and discussed in the context of Lagrangian modelingâ€”from the Lagrangian invariants to dynamics. Possible...

- Applicability of the Momentum-Flux-Parameter Closure for the Two-Fluid Model to Slug Flow. Issa, Raad I.; Montini, Marco // AIP Conference Proceedings;3/1/2010, Vol. 1207 Issue 1, p712
This paper investigates the use of the momentum flux closure relationship, with the aim of obtaining a well-posed set of equations for the transient one-dimensional two-fluid model in the slug flow regime. The inclusion of the momentum flux parameters for the gas and liquid phases takes into...

- SYMMETRY REDUCTION, INTEGRABILITY AND RECONSTRUCTION IN k-SYMPLECTIC FIELD THEORY. BÚA, L.; MESTDAG, T.; SALGADO, M. // Journal of Geometric Mechanics;Dec2015, Vol. 7 Issue 4, p395
We investigate the reduction process of a k-symplectic field theory whose Lagrangian is invariant under a symmetry group. We give explicit coordinate expressions of the resulting reduced partial differential equations, the so-called Lagrange-PoincarÃ© field equations. We discuss two issues...

- Prandtl-Mayer flow for a multicomponent mixture. Surov, V. // Journal of Engineering Physics & Thermophysics;May2013, Vol. 86 Issue 3, p587
For the multivelocity model of a heterogeneous medium, which takes into account the properties of a mixture as a whole, the solution of the Prandtl-Mayer self-similar problem is obtained.

- Exact solutions to drift-flux multiphase flow models through Lie group symmetry analysis. Bira, B.; Sekhar, T. // Applied Mathematics & Mechanics;Aug2015, Vol. 36 Issue 8, p1105
In the present paper, Lie group symmetry method is used to obtain some exact solutions for a hyperbolic system of partial differential equations (PDEs), which governs an isothermal no-slip drift-flux model for multiphase flow problem. Those symmetries are used for the governing system of...

- Non-existence of global solutions of a class of coupled non-linear Kleinâ€“Gordon equations with non-negative potentials and arbitrary initial energy. YANJIN WANG // IMA Journal of Applied Mathematics;Jun2009, Vol. 74 Issue 3, p392
In the paper, we consider the non-existence of global solutions of Cauchy problem for coupled Kleinâ€“Gordon equations of the formon â„ Ã— â„n. First, for the case n = 2, 3, we prove the existence of ground state of the corresponding Lagrangeâ€“Euler equations of the above...

- New Jarlskog Determinant from Physics above the GUT Scale. Koranga, Bipin Singh; Sankar, S. Uma // Electronic Journal of Theoretical Physics;Feb2009, Vol. 6 Issue 20, p229
We study the Planck scale effects on Jarlskog determiant. Quantum gravitational (Planck scale) effects lead to an effective SU(2) x U(1) invariant dimension-5 Lagrangian involving neutrino and Higgs fields, which give rise to additional terms in neutrino mass matrix on electroweak symmetry...

- Complex Lie Symmetries for Variational Problems. Ali, Sajid; Mahomed, Fazal M.; Qadir, Asghar // Journal of Nonlinear Mathematical Physics (Atlantis Press);Aug2008 Supplement 1, Vol. 15, p25
We present the use of complex Lie symmetries in variational problems by defining a complex Lagrangian and considering its Euler-Lagrange ordinary differential equation. This Lagrangian results in two real "Lagrangians" for the corresponding system of partial differential equations, which satisfy...