5 papers
Fractional Stochastic Navier-Stokes Equations: Local Well-Posedness and Enstrophy Balance
Joel Saucedo
In this paper, we investigate a stochastic incompressible fluid on the three-dimensional torus in which power-law temporal memory, represented by a Caputo derivative of order $β\i…
Quadratic Volatility from the Pöschl-Teller Potential and Hyperbolic Geometry
Joel Saucedo
This investigation establishes a formal equivalence between the generalized Black-Scholes equation under a Quadratic Normal Volatility (QNV) specification and the stationary Schrö…
Scaling Relations, Morphological Stability, and Asymptotic Freedom of Plasma-Surface Deposition Dynamics
Joel Saucedo, Uday Lamba, Hasitha Mahabaduge
Connecting plasma processing parameters to the resultant film microstructure remains a fundamental challenge in materials synthesis, one that has largely confined process design to…
Exact Solutions for Bimodal Distributions under Stochastic Plasma Irradiation in Thin Films
Joel Saucedo, Uday Lamba, Hasitha Mahabaduge
A persistent paradox complicates the study of plasma-irradiated thin films, where bimodal grain distributions and ambiguous scaling laws, roughly shifting between and $…
Non-Perturbative Solutions to the Vlasov-Boltzmann Equation for Weakly Ionized Plasmas
Joel Saucedo, Uday Lamba, Hasitha Mahabaduge
The electron energy distribution function (EEDF) in low-temperature plasmas exhibits features not fully captured by classical collisional models, particularly across the transition…