Alex Mahalov is exploring next generation multi-scale earth system models with applications to food-energy-water systems and space physics. The mathematical tools involve Navier-Stokes and Maxwell’s equations which are the fundamental equations used to study fluid flow and electric/magnetic fields in science and engineering applications including remote sensing, imaging and communication. Particular emphasis is given to how these equations can be used to study processes that rapidly and randomly change with time and location. These more complex models can now be analyzed more accurately through advances in computing and data science. The scientific payoff of his research encompasses advances in fundamental mathematical knowledge as well as a deepening of our understanding of environmental, agricultural, atmospheric and space sciences.

EASM-3: Collaborative Research: Physics-Based Predictive Modeling for Integrated Agricultural and Urban Applications. USDA-NIFA(5/1/2015 - 4/30/2020). Non-Paraxial Propagation through Strongly Inhomogenous Ionospheric Turbulence: Solving the 3D Stochastic Maxwell's Equations. DOD-AFOSR(2/15/2015 - 2/14/2018).

EASM-3: Collaborative Research: Physics-Based Predictive Modeling for Integrated Agricultural and Urban Applications. NSF-MPS-DMS(9/1/2014 - 8/31/2019).

WSC - Category 3: Sustainable Large-Scale Deployment of Perennial Biomass Energy Crops. NSF-GEO-EAR(9/15/2012 - 8/31/2017).

Fine Scale Modeling and Forecasts of Upper Atmospheric Turbulence Computer Time User Interface (STTR). IntelliWare(9/1/2012 - 8/31/2014). MCTP: Mathematics Mentoring Partnership Between Arizona State University and the Maricopa County Community College District. NSF-MPS-DMS(7/15/2012 - 6/30/2017). Multiscale Modeling and High Resolution Coupled Three-Dimensional Simulations of Ionospheric Irregularities for EM Propagation. DOD-AFOSR(8/1/2011 - 7/31/2014). Collaborative Research: Mathematics and Climate Change Research Network.

NSF-MPS-DMS(10/1/2010 - 9/30/2016). Fine Scale Modeling and Forecasts of Upper Atmospheric Turbulence Computer Time, User Interface.

Intellieware(5/18/2010 - 1/31/2011). CMG Research: Multiscale Modeling of Urban Atmosphere in a Changing Climate. NSF-MPS-DMS(9/1/2009 - 8/31/2014). Plant Fund: SCREMS: Visualization of Complex Spatio-Temporal Multiscale Fluid Dynamic Phenomena. NSF-MPS-DMS(8/1/2009 - 7/31/2010). DURIP: Multi-Core Hardware for High Performance Atmospheric Characterization and Forecasting.

DOD-AFOSR(6/1/2009 - 5/31/2010). Nonlinear Stochastic Averaging and Ensemble Forecasting of High Impact Multiscale Stratospheric Turbulence.

DOD-AFOSR(2/15/2008 - 5/31/2011). CSUMS: Undergraduate research Experiences for Computational Math Science Majors at ASU. NSF-MPS-DMS(9/15/2007 - 8/31/2014). Characterization and Prediction of Clear Air and Optical Stratospheric Turbulence for DoD High Altitude Platforms. DOD-AFOSR(1/1/2005 - ). Regularity of Nonlinear Problems in the Theory of Fluids and Geophysics.

US CIV RSH & DEV FDN(6/1/2004 - 6/1/2006). STATISTICS AND VARIABILITY OF TURBULENCE DYNAMICS IN THE MIDDLE ATMOSPHERE. DOD-AFOSR(1/1/2002 - 1/31/2005). FRANCE COOPERATIVE RESEARCH: TRANSPORT & MIXING IN ROTATING STRATIFIED GEOPHYSICAL FLOWS USING SPECTRAL AND WAVELET NUMERICAL. NSF-SBE(4/15/2000 - 6/30/2003).

ISSUES OF CHARACTERIZATION OF TURBULENCE IN THE MIDDLE ATMOSPHERE. DOD-AIR FORCE(10/1/1998 - ). DEVELOPMENT & VERIFICATION OF EXPERIMENTAL DATABASES FOR PANCAKES STRUCTURES IN GEOPHYSICAL FLOWS. DOD-AIR FORCE(4/1/1998 - 3/31/2001). MODELING OF CONTAMINATED DISPERSION IN COMPLEX TERRAIN FLOWS.

NSF-ENG(8/1/1997 - 5/31/2000). Mathematics for Nonlinear Phenomena: Analysis and Computation. International Conference in honor of Professor Yoshikazu Giga on his 60th birthday, Japan (Aug 2015). Frontiers in Environmental Science. The Eminent Scholar Lecture Series (ESLS) (Apr 2015).

Multi-scale Modeling and Nested Simulations of Three-dimensional Ionospheric Dynamics: Predicting Ionospheric Variability at Fine Scales. American Meteorological Society Annual Meeting, Space Sciences (Jan 2015). ASU-NCAR Worksop: Physics Based Predictive Modeling for Integrated Agricultural and Urban Applications.

ASU-National Center for Atmospheric Research (NCAR) Worksop funded by NSF and USDA (Jan 2015). Mathematics of Planet Earth, Part 1.

Imperial College London (Dec 2014). Mathematics of Planet Earth, Part 2. University of Reading, England (Dec 2014). Multi-Scale Modeling of Urban Atmospheres in a Changing Climate. University of Alberta (Nov 2014). Multiscale modeling and nested simulations of three-dimensional ionospheric plasmas: Rayleigh-Taylor turbulence and nonequilibrium layer dynamics at fine scales. Mathematics of Turbulence Program at the NSF Institute for Pure and Applied Mathematics, UCLA (Oct 2014).

Optical Turbulence. Lagrange Lecture (Jul 2014). Alex Mahalov. Stochastic 3D Rotating Navier-Stokes Equations: Averaging, Convergence and Regularity. Advances in Mathematical Fluid Mechanics: Stochastic and Deterministic Methods (Apr 2014). Stochastic Lagrangian dynamics for charged flows in the E-F regions of ionosphere. Division of Plasma Physics, American Physical Society (Nov 2013).

Physics Based Predictive Modeling of Environmental Flows. Colloquium, University of Miami, Physics Department (Oct 2013).

Modeling Energy Consumption and Climate Adaptations: Seeking Sustainable Solutions for Rapidly Expanding Urban Areas. Argonne National Laboratory, Department of Energy (Aug 2013). Physics Based Predictive Modeling of Atmospheric Layers for Imaging Applications.

Optical Society of America Congress on Imaging and Applied Optics (Jun 2013). Alex Mahalov. Mathematics of Planet Earth 2013. Distinguished Lecture, Mathematics of Planet Earth 2013 (Apr 2013). Urban Climate and Energy. ASU Workshop on Climate Challenges hosted by President Crow and Sir Crispin (Apr 2013).

I developed a module for the Global Institute of Sustainability course for the World Bank/International Finance Corporation employers. The title of my What can Models Tell Us About Climate Change: Current Trends, Future Projections and Limitations.

World Bank/International Finance Corporation Seminar (Mar 2013). Stochastic 3D Rotating Navier-Stokes Equations: Averaging, Convergence and Regularity. Colloquium, University of Maryland (Mar 2013). Physics Based Predictive Modeling of Atmospheric Optical Turbulence. National Reconnaissance Office (NRO) Technology Seminar Series (Mar 2013).

Geophysical Fluid Dynamics and Turbulence. Mathematisches Forschungsinstitut Oberwolfach, Germany (Feb 2013). High Performance Computing of Environmental Flows.

Brown University, Scientific Computing Colloquium Series (Nov 2012). Stochastic Navier-Stokes Equations Stefan Banach International Mathematical Center. International Conference on Parabolic and Navier-Stokes Equations (Sep 2012). Building Partnerships to Meet the 2030 Grand Challenge: Wind Farm Underperformance and Partnerships (DOE Workshop). Department of Energy Workshop (Mar 2012). Stochastic 3D Rotating Navier-Stokes Equations: Averaging, Convergence and Regularity.

Department of Mathematics, Stanford University (Feb 2012). Stochastic 3D Rotating Navier-Stokes Equations: Averaging, Convergence and Regularity. Stanford University, Department of Mathematics (Feb 2012). High Performance Computing of Environmental Flows: Dynamics and Control.

50th IEEE Conference on Decision and Control (Dec 2011). Euler Equations on a Rotating Sphere.

SIAM Conference on Analysis of Partial Differential Equations (Nov 2011). Turbulent flows subject to external agencies and with coupled fields.

American Institute of Aeronautics and Astronautics Annual Meeting (Jun 2011). Georgescu, A. Mahalov and M. On improved representation of the diurnal cycle over a semi-arid, metropolitan area. WRF Workshop at the National Center for Atmospheric Research, Boulder (Jun 2011). Mathematical Fluid Dynamics. Centre International de Rencontres Mathematiques (CIRM) in Luminy (May 2011).

High Resolution Simulations of Stratified and Rotating Turbulence. National Center for Atmospheric Research (Aug 2010). High Resolution Simulations of Limited Area Atmospheric Environments. National Center for Atmospheric Research Workshop (Jun 2010).

3D Navier-Stokes equations of Geophysics: Theory and Computations. Colloquium, Center for Applied Mathematics, University of Southern California (Mar 2010). 3D Navier-Stokes and Euler Equations for Rotating Flows. Colloquium, Drexel University.

Department of Mathematics (Mar 2010). Analysis and Computation of Incompressible Fluid Flow. Institute for Mathematics and Applications (IMA) Annual Program, The University of Minnesota (Feb 2010). Analysis and Computation of Incompressible Fluid Flow. Institute for Mathematics and Applications (IMA) (Feb 2010). Mahalov (Distinguished Lecure).

Non-linear Analysis, PDEs and Applications. 9th Annual Red Raider Symposium on PDEs funded by NSF and Red Raider Foundation (Oct 2009). Multiscale Resolution and High Performance Computing Simulations of Limited Area Atmospheric Environments.

Department of Atmospheric Sciences, Texas A & M University (Oct 2009). Mathematical Aspects of Hydrodynamics. Oberowlfach Mathematical Institute, Germany (Jul 2009). High Performance Computing Simulations of Atmospheric Environments. National Center for Atmospheric Research (May 2009). Fast Singular Oscillating Limits of the 3D Navier-Stokes and Euler Equations. De Giorgi International Mathematical Institute and the University of Pisa (Mar 2009).

High Performance Computing of Multiscale Environmental Flows. UCLA, Department of Atmospheric and Oceanic Sciences (Nov 2008).

Navier-Stokes equations: Classical and generalized models. Conference at the Nonlinear PDEs Centro De Giorgi, Scuola Normale Superiore, Pisa (Sep 2008). Multi-scale Predictability of High-Impact Upper Tropospheric Ice Clouds. High Performance Computing Annual Users Group Conference (Jul 2008). Verticall Nested Nonhydrostatic Model for Multiscale Computations of Flows in the Upper Troposphere and Lower Stratosphere. National Center for Atmospheric Research, Boulder (Jun 2008). Harmonic Analysis and PFEs in Fluids.

Maxwell Inst Centre for Nonlinear PDEs, Edinburgh, Scotland (Apr 2008). High Impact Optical Turbulence in the Atmosphere.

AFOSR TCATs (Mar 2008). Navier-Stokes Equations in Geophysics. Colloquium (Mar 2008). Alex Mahalov. Fast singular oscillating limits of the 3D Navier-Stokes and Euler equations: Global regularity and three-dimensional Euler dynamics.

Cambridge University Video Lecture (60 min). Isaac Newton Math Inst (Mar 2008). Navier-Stokes Equations in Geophysics. Colloquium at Indiana University (Feb 2008). High Performance Computing and Ensemble forecasting of high-impact stratospheric optical turbulence. International Society for Optical Engineering Annual Conference (Jan 2008). Lasers and Applications in Science and Engineering Symposium.

Photonics West Annual Meeting (Jan 2008). Mahalov, Alex. Oxford Centre for Industrial and Applied Mathematics (OCIAM) Seminar (Dec 2007). Mahalov, Alex. Bursting Dynamics of the 3D Euler Equations. Colloquium, Oxford Centre for Analysis and Nonlinear PDEs (Dec 2007).

Mahalov, Alex. Optical Turbulence in the Atmosphere. Sminaires fluides et plasmas en astrophysique (Oct 2007). Mahalov, Alex.

Fast Singular Oscillating Limits and Global Regularity of the 3D Navier-Stokes Equations of Geophysics. Mahalov, Alex. Rotating Navier-Stokes Equations in a Halfspace: The Ekman Boundary Layer Problem. 6th International Congress on Industrial and Applied Mathematics (ICIAM07) (Jul 2007). Mahalov, Alex. DoD High Perfoirmance Computing Modernization Program (HPCMP).

DoD High Perfoirmance Computing Modernization Program (HPCMP) Annual Meeting (Jun 2007). Mahalov, Alex. 3D Euler Equations with Uniformly Large Initial Vorticity and Bursting Dynamics. Mathematical Hydrodynamics: Euler Equations and Related Topics (Jun 2007). Mahalov, Alex.

Ensemble Forecasting of High Impact Stratopsheric Turbulence. Colloquium, European Centre for Medium Range Weather Forecast (ECMWF), Reading, UK (May 2007).

Mahalov, Alex. High Resolution Simulations of Topographic Gravity Waves. Lighthill Institute of Mathematical Sciences (LIMSApplied Mathematics in Defense Applications) Workshop on (May 2007).

Autodesk Autocad 2007 Free Download

Mahalov, Alex. Highly Oscillatory Problems for the 3D Navier-Stokes and Euler Equations. University of Minnesota School of Mathematics Seminar Series in Partial Differential Equations (Apr 2007). Mahalov, Alex. Highly Oscillatory Problems for the 3D Navier-Stokes and Euler Equations: Global Regularity and Quasi-Integrability. International Conference on The Theory of Highly Oscillatory Problems (Mar 2007). Mahalov, Alex.

Autocad 2007 Setup

International Conference on 'Rotating Fluids in Geophysics' (Sep 2006). Mahalov, Alex. Bursting and Homoclinic Dynamics of the 3D Euler Equations in Cylinders. Workshop on Nonlinear PDEs in Analysis and Geometry (Jan 2006). Mahalov, Alex. Computational Challenges of Multiscale Atmospheric Flows. On the Navier-Stokes Equations and their Applications (Jan 2006).

Mahalov, Alex. Fast Singular Oscillating Limits, Restricted Convolutions and Regularity of Solutions of Partial Differential Equations.

Mahalov, Alex. KAM Theory of the 3D Euler Equations with Uniformly Large Initial Vorticity in Cylinders. Department of Mathematics Colloquium (Nov 2005). Mahalov, Alex.

3D Navier-Stokes and Euler Equations with Uniformly Large Initial Vorticity: Global Regularity and Quasi-Integrability. International Conf. 'Chaos and Disorder in Mathematics and Physics' dedicated to Prof. Sinai (Sep 2005). Mahalov, Alex, Nicolaenko, B. High Resolution Numerical Simulations and Modeling of Optical Turbulence Across Jet Streams.

Conference on Atmospheric Optical Modeling, Measurement and Simulation (Aug 2005). Mahalov, Alex. Mathematical Challenges in the Theory of Three-Dimensional Navier-Stokes Equations.

International Conference on Differential Equations (Jul 2005). Ruggiero, F, Mahalov, Alex, Nicolaenko, B, Werne, J. Characterization of High Altitude Turbulence for Air Force Platforms. DoD High Performance Computing Modernization Program Annual Meeting (Jun 2005). Mahalov, Alex, Nicolaenko, B. High Performance Computing of Stratospheric Optical and Clear Air Turbulence (CAT) for DoD High Altitude Platforms. AFOSR Annual Workshop on Optical and Stratospheric CAT (May 2005).

Mahalov, Alex, Nicolaenko, B. Eddy Mixing in Jet Stream Shear-Stratified Turbulence. European Geophysical Union Annual Meeting (Apr 2005). Mahalov, Alex.

Global Regularity of the 3D Navier-Stokes Equations with Uniformly Large Initial Vorticity. Workshop 'Deterministic and Stochastic Navier-Stokes Equations (Mar 2005). Mahalov, Alex. High Performace Computing and Modeling of Shear-Stratified Turbulence in the Stratosphere.

Colloquium, Department of Meteorology (Feb 2005). Mahalov, Alex. Fast Singular Oscillating Limits and Global Regularity of the 3D Primitive Equations of Geophysics. Department of Mathematics and Center for Sci.

Modeling Colloquium (Feb 2005). Mahalov, Alex, Nicolaenko, B. High Performance Computing of Environmental Flows. HIgh Performance Computing Initiative Workshop (Feb 2005). Mahalov, Alex. High performance Computing of Environmental Flows.

Ecosystems Seminar Series (Nov 2004). Mahalov, Alex. Modeling and high resolution simulations of optical clear air turbulence in the stratosphere. ASU- Lockheed Martic Seminar Series (Oct 2004). Mahalov, Alex. Fast Singlular Oscillating Limits in Nonlinear PDEs.

Partial Differential Equations in Mathematical Physics (Oct 2004). Mahalov, Alex. Global Regularity of the 3D Navier-Stokes Equations with Initial Data Characterized by Uniformly Large Vorticity. Symposium on Nonlinear Dispersive Equations (Sep 2004).

Mahalov, Alex. High Performance Computing of Environmental Flows. Mahalov, Alex. Department of Mathematics Colloquium (Sep 2004). Mahalov, Alex. 3D Navier-Stokes Equations in Geophysics.

International Conference on Navier-Stokes Equations (May 2004). Mahalov, Alex. Analysis of non-linear PDEs. Mahalov, Alex. DoD High Performance Computing Modernization Program (HPCMP) Annual Meeting (Jun 2002). Mahalov, Alex.

Fourth International Conference on Dynamical Systems and Differential Equations, Symposium in Singular Perturbation and Propagation of Waves (May 2002). Mahalov, Alex.

AFOSR-ABL Atmospheric Workshop (Apr 2002). Mahalov, Alex. CNRS-NSF Workshop on 3D Stratified and Sheared Turbulent Flows: Comparison between DNS, LES and Observations (Dec 2001). Mahalov, Alex. International Conference on Theoretical and Numerical Fluid Dynamics (Aug 2001). Mahalov, Alex. Modeling of Optical Turbulence in the Stratosphere at the AirForce Weather Agency (AFWA).

Offutt AFB (Aug 2001). Mahalov, Alex. NAST Hyperspectral Data: Implications for Numerical Weather Prediction and Turbulence Studies.

NASA Workshop (Jun 2001). Mahalov, Alex. Workshop on Analytical and Statistical Approaches to Fluid Models (Sep 2000). Mahalov, Alex.

Dispersive Wave Turbulence. Joint SIAM-AMS Summer Research Conference (Jun 2000). Mahalov, Alex. AFOSR Contractors/Grantees Meeting, Computational and Applied Mathematics (Jun 2000). Mahalov, Alex.

Joint AMS-SIAM Meeting, Special Session on Navier-Stokes Equations (Jan 2000). Mahalov, Alex.

MAthematical Problems of Rotating Turbulence. International Workshop on New Directions in PDEs. Mahalov, Alex. Regularity and other qualitative aspects of the Navier-Stokes Equations.

Institute of Mathematics. Mahalov, Alex. Regularity of the 3D Navier-Stokes and Euler Equations with uniformly large initial vorticity. The 5th International Congress on Industrial and Applied Mathematics. Mentorship Appreciation Award, Arizona State University, June 2000.

Clay Mathematical Institute Ambassador, Fall 2000. College of Liberal Arts and Sciences Interdisciplinary Research Fellowship, Arizona State University, Spring 1999. Rosenbaum Research Fellowship, Isaac Newton Institute for Mathematical Sciences, Cambridge University, 1996. International Business Machines Corporation Graduate Fellowship, 1990-1991. Mathematical Science Institute Graduate Fellowship, Cornell University, 1988-1989.