We deal with initial-boundary value problems for systems of conservation laws in one space dimension and we focus on the so-called boundary Riemann problem. It is known that, in general, different viscous approximations provide different limits. We establish sufficient conditions to conclude that two different approximations lead to the same limit. As an application of this result, we show that...

The fractional integrals involving a number of special functions and polynomials have significant importance applications in diverse areas science; for example, statistics, applied mathematics, physics, engineering. In this paper, we aim to introduce slightly modified matrix Riemann–Liouville investigate associated with products certain elementary generalized Bessel polynomials. We also conside...

Interpreting the number of ramified covering of a Riemann surface by Riemann surfaces as the relative Gromov-Witten invariants and applying a gluing formula, we derive a recursive formula for the number of ramified covering of a Riemann surface by Riemann surface with elementary branch points and prescribed ramification type over a special point.

In this paper, we shall discuss a newly introduced concept of center-radius total-ordered relations between two intervals. Here, address the Hermite–Hadamard-, Fejér- and Pachpatte-type inequalities by considering interval-valued Riemann–Liouville fractional integrals. Interval-valued for new class preinvexity, i.e., cr-h-preinvexity, are estimated. The operator is used first time to prove such...

of the Dissertation Periodic Structure in Two-Dimensional Riemann Problems for Hamilton-Jacobi Equations by John Dominick Pinezich Doctor of Philosophy in Applied Mathematics and Statistics State University of New York at Stony Brook 1998 This dissertation investigates the structure of two-dimensional Riemann problems for Hamilton-Jacobi equations. We show that it is possible for the Riemann so...

In this paper, the tunneling of scalar particles near event horizons Riemann space time, BTZ black hole and Schwarzschild-de Sitter are investigated by applying Hamilton-Jacobi equation with Lorentz violation theory in curved time. The modified is derived from Klein-Gordon induced Hawking temperatures time due to effect theory. Moreover, Bekenstein-Hawking entropy horizon also It observed that ...