math

Upcoming Mathematical Meetings and Conferences

Big Data Science Conference, 2018
October 13, 2018, Florida Atlantic University, College of Business, Office Depot Center

Florida Geogebra, 2019
February 15 & 16, 2019, Florida Atlantic University, Science and Engineering Complex

50th Southeastern International Conference on Combinatorics, Graph Theory and Computing, 2019
March 4-8, 2019, Florida Atlantic University, Student Union

View our CGTC Photos!

 

The 5th International Computational and Mathematical Population Dynamics
May 19-24, 2019, Bahia Mar Fort Lauderdale Beach 

 

Weekly Seminars and Colloquium

 

Friday, October 12, 2018 at 4:00 pm in SE 215

Title: Non-Richardson Scaling Laws in Turbulent Particle Pair Diffusion: The Role of Local and Non-local Diffusional Processes

Speaker: Nadeem A. Malik, Florida Atlantic University, Department of Mathematical Sciences

Abstract:  

A re-appraisal of the Richardson's 1926 dataset [Richardson, L. F. Proc. Roy. Soc. Lond. A 100, 709–737, 1926] displays an unequivocal non-local scaling for the pair diffusion coefficient, , (Richardson’s locality scaling is ), where is the rms pair separation. Consequently, the foundations of turbulent pair diffusion theory have been re-examined and it is shown that pair diffusion is governed by both local and non-local diffusional processes inside the inertial subrange [Malik, N. A. PLoS ONE 13(10): e0202940, 2018a]. In the context of generalized energy spectra, for , the new theory predicts two non-Richardson regimes depending on the size of the inertial subrange: (1) in the limit of asymptotically infinite subrange, non-local scaling laws is obtained, , with intermediate between the purely local and the purely non-local scalings, i.e. < 2; and (2) for finite (short) inertial subrange, a quasi-local scaling laws are obtained, . All the predictions of the new theory have been confirmed numerically [Malik, N. A. PLoS ONE, submitted 2018b] using the Lagrangian diffusional model Kinematic Simulations (KS) [Malik, N. A. PLoS ONE, 12 (12): e0189917 (2017)]. The theory has been extended to inertial particle pair diffusion in the Stokes drag limit where we observe a two-parameter family of scaling laws: for short times the diffusion is ballistic as the particle inertia ‘punch’ their way through the turbulence at small scales, and for long times the motions approach the fluid pair diffusion regimes as the turbulent energies at larger scales overpower the particle inertia, provided that the inertial subrange is big enough. 

 

Monday, October 15, 2018 at 12:00 noon in SE 215

Title: A Realistic Transport Model for Gas Flow in Tight Porous Media

Speaker: Nadeem A. Malik, Florida Atlantic University, Department of Mathematical Sciences

Abstract:  

A nonlinear transport model for single-phase gas flow in tight porous media has been developed [Ali I & Malik N. A. Transp Porous Med 124(3):723-742, (2018)]. The model incorporates many important physical processes that occur in such porous systems: continuous flow, transition flow, slip flow, Knudsen diffusion, adsorption and desorption into and out of the rock material, and a correction for high flowrates. This produces a nonlinear partial differential equation with pressure-dependent model parameters and associated compressibility coefficients, and highly nonlinear apparent diffusivity. A key finding is that all model parameters should be kept pressure dependent for the best results. An application is to the determination of rock properties, such as porosity and permeability, by history matching of the simulation results to data from pressure-pulse decay tests in a rock core sample [Pong et al. ASME Fluids Eng Div 197:51–56, (1994)]. Possible applications are to gas flow in shale rocks.

 

Math Day Events

MuAlphaTheta Math Competition
January 19, 2019, Florida Atlantic University, Davie Campus.


FAU Math Day for High School Students - Registration will open soon!
January 26, 2019, Florida Atlantic University, 8:00 a.m. - 3:30 p.m.


American Mathematics Competitions - AMC-10/12A and AMC-10/12B - Registration will open soon!
The AMC 10/12A will be held on Thursday, February 7, 2019 beginning at 9:45am. 
The AMC10/12B will be held on Wednesday, February 13, 2019 beginning at 8:30am.
 

American Mathematics Competition - AMC-8 Math Day - Registration is now open!
The AMC 8 Math Day will be held on Saturday, November 17, 2018 beginning at 9:30am.

 

Math Boot Camp - FAU Students - Need to improve your mathematical skills? Check out the Math Boot Camp!
Check out new sessions throughout the semester!