3 papers
math.DS2025
Existence and Stability Theory of a Neurologically-Inspired Parabolic PDE Model with a Nonlinear Time-Delayed Boundary Condition
Gangadhara Boregowda, Michael R. Lindstrom
In this paper, we establish the existence of a positive, bounded solution for a class of parabolic partial differential equations with nonlinear boundary conditions, where the boun…
math.NA2024
High-performance computing for the BGK model of the Boltzmann equation with a meshfree Arbitrary Lagrangian-Eulerian (ALE) method
Panchatchram Mariappan, Klaas Willems, Gangadhara Boregowda +2
In this paper, we present high-performance computing for the BGK model of the Boltzmann equation with a mesh-free method. For the numerical simulation of the BGK equation we use an…
physics.med-ph2023
Optimization of probe separation distance and cooling time in multi-probe cryoablation technique by arranging probes in triangular and square pattern-A computational approach
Gangadhara Boregowda, Panchatcharam Mariappan
Cryoablation is a minimally invasive and efficient therapy option for liver cancer. Liquid nitrogen was used to kill the unwanted cells via freezing. One of the challenges of cryos…