Presentations

Invited Plenary Talks:

  1. “Multiscale Interface Couplings of PDEs and ODEs for Tissue Perfusion”, The 8th Annual Meeting of SIAM Central States Section, October 7-8, 2023.
  2. “Differential Equations, Ocular Perfusion, and … Bugs”, Workshop for the Yellowhammer Network for Women in the Mathematical Sciences, University of Alabama, October 29, 2022.
  3. “Analysis and Control in Poroelastic Systems with Applications to Biomedicine”, Midwest PDE Seminar Conference, University of Missouri-Columbia, October 15-16, 2022.
  4. “Analysis and Control in Poroelastic Systems with Applications to Biomedicine”, 30th IFIP TC 7 Conference, Warsaw, Poland, July 4-8, 2022.
  5. “Porous Media Flow – Analysis and Applications to Ocular Perfusion”, AWM Research Symposium, NC State University February 29, 2020.
  6. “Fluid Flows through Deformable, Porous Media: Analysis and Applications in Biomechanics”, TAGMaC, Duke University, November 3, 2018.
  7. “Fluid Flows through Deformable Porous Media: Analysis and Applications to Ocular Perfusion”, KUMUNU Conference on PDE, Dynamical Systems and Applications, University of Nebraska-Lincoln, April 21-23, 2017.
  8. “Snowflakes, Balloons, and the Cardiovascular System”, Invited Address at the MD-DC-VA Section Meeting of the MAA, November 1-2, 2013.

 

Invited Colloquium Talks:

  1. “Analysis and Control in Poroelastic Systems with Applications to Biomedicine”, University of Virginia, May 4, 2023.
  2. “Analysis and Control in Poroelastic Systems with Applications to Biomedicine”, University of NC Charlotte, October 27, 2022.
  3. “Analysis and Control of Porous Media Flows with Applications in Ocular Perfusion”, Iowa State University, Department of Mathematics, April 20, 2021.
  4. “Analysis and Control of Porous Media Flows with Applications in Ocular Perfusion”, University of Maryland BC, Department of Mathematics, April 16, 2021.
  5. “Analysis and Control of Porous Media Flows with Applications in Ocular Perfusion”, The University of Memphis, Department of Mathematics, March 26, 2021.
  6. “Fluid Flows through Deformable, Porous Media: Analysis and Applications in Biomechanics”, Georgetown University, Department of Mathematics, April 6, 2018.
  7. “Fluid Flows through Deformable, Porous Media: Analysis and Applications in Biomechanics”, Colloquium Applied Mathematics, Penn State University, November 13, 2017.
  8. “Snowflakes, Balloons, and the Cardiovascular System”, Colloquium, Department of Mathematics, University of Nebraska-Lincoln, September 12, 2014.

 

Invited Seminar Talks

  1. “Analysis and Control in Poroelastic Systems with Applications to Biomedicine”, UNC Greensboro, Applied Math Seminar, March 27, 2023.
  2. “Analysis and Control in Poroelastic Systems with Applications to Biomedicine”, University of Alabama, Applied Math Seminar, October 28, 2022.
  3. “Analysis and Control in Poroelastic Systems with Applications to Biomedicine”, Louisiana State University, Control and Optimization Seminar, August 26, 2022.
  4. “Analysis and Control in Fluid Flows through Deformable Porous Media”, Ohio State University, Partial Differential Equations Seminar, March 24, 2022.
  5. “Optimal Control in Porous Media Flows with Application in Ocular Perfusion”, University of Nebraska-Lincoln, Differential Equations Seminar, February 15, 2022.
  6. “Analysis and Control of Porous Media Flows with Applications in Ocular Perfusion”, Mathematics Graduate Seminar, California State University Channel Islands, CA, April 5, 2021.
  7. “Optimal Control in Fluid-Structure Interactions”, Applied PDE Seminar, University of Washington, Jan. 28, 2021.
  8. “Optimal Control in Fluid-Structure Interactions”, Applied Mathematics and Computation Seminar, Oregon State University, December 4, 2020.
  9. “Optimal Control in Fluid-Structure Interactions”, Continuum Mechanics Seminar, University of Nebraska-Lincoln, NE, October 29, 2020.
  10. “Porous Media Flow – Analysis and Applications to Ocular Perfusion”, Complex Matter and Biophysics Seminar, Department of Physics, NCSU, January 30, 2020.
  11. “PDEs, Ocular Perfusion, and … Bugs”, Invited talk at the AWM and SIAM Student Chapter Meeting, The University of Kansas, Lawrence, KS, December 2-4, 2019.
  12. “Poro-Visco-Elasticity in Biomechanics”, Student Seminar, Department of Mathematics, Penn State, November 13, 2017.
  13. “Minimizing Turbulence in Fluid-Elasticity Interactions”, Invited PDE/Analysis Seminar, University of North Carolina at Chapel Hill, April 15, 2015.
  14. “Uniqueness of Weak Solutions for Semilinear Wave Equation with Supercritical Boundary/Interior Sources and Damping”, Differential Equations Seminar, University of Nebraska – Lincoln, NE, September 2007.

 

Invited Conference Presentations

  1. “Analysis of a Multiscale Model Based on the Coupling of ODEs and PDEs for Tissue Perfusion”, SIAM Conference on Control and Its Applications, MS on Control, Stability, and their Applications, July 24-26, 2023.
  2. “Analysis of a Multiscale Model Based on the Coupling of ODEs and PDEs for Tissue Perfusion”, The Tenth Congress of Romanian Mathematicians, Pitesti, Romania, June 30 – July 5, 2023.
  3. “Analysis and Control in Poroelastic Systems with Applications to Biomedicine”, Workshop on PDEs – Research in Pairs in Bucharest, Bucharest, Romania, June 26-27, 2023.
  4. “Analysis of a Multiscale Model Based on the Coupling of ODEs and PDEs for Tissue Perfusion”, Special Session on Qualitative Properties and Numerical Approximations of PDE Systems Which Govern Fluid Flows and FlowStructure Interactions, The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications, May 31 – June 4, 2023, Wilmington, NC USA.
  5. “Analysis and Control in Poroelastic Systems with Applications to Biomedicine”, Special Session on Applied Mathematics for Modern Challenges, The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications, May 31 – June 4, 2023, Wilmington, NC USA.
  6. “Analysis of a Multiscale Model based on the Coupling of ODEs and PDEs for Tissue Perfusion”, SIAM SEAS, MS on Recent Advances in Differential Equations and Applications, Virginia Tech, March 24-26, 2023.
  7. “Analysis of a Multiscale Model based on the Coupling of ODEs and PDEs for Tissue Perfusion”, Reflections on mathematical fluid dynamics, University of Virginia, March 11-12, 2023.
  8. “Analysis and Control in Fluid Flows through Deformable Porous Media”, ACIPDIf22 School-Workshop on Analysis, Control and Inverse Problems for Diffusive Systems with Application to Natural and Social Sciences, Rome, Italy, July 18-21, 2022.
  9. “Multiscale interface coupling between a poroelastic medium and a lumped circuit”, IFIP TC7 Conference on System Modelling and Optimization, August 30, 2021 – September 2, 2021.
  10. “Optimal Control in Fluid-Structure Interactions”, SIAM CT 2021, MS on Control of PDEs with an Interface, July 21, 2021.
  11. “Multiscale interface coupling between a poroelastic medium and a lumped circuit”, INdAM Workshop 2021 – Analysis and Numerics of Design, Control and Inverse Problems, July 1-7, 2021, Rome and Online.
  12. “Optimal Control in Porous Media Flows with Applications in Ocular Perfusion”, MS on Analysis, Control and Inverse Problems for Partial Differential Equations, 8th European Congress of Mathematics, June 23, 2021.
  13. “Minimizing drag in a moving boundary fluid-elasticity interaction”, AMS Fall Western Virtual Sectional Meeting, SS on Free boundary problems arising in applications, October 24- 25, 2020.
  14. “Multiscale interface coupling between a poroelastic medium and a lumped circuit”,

AMS Fall Southeastern Virtual Sectional Meeting, SS Applicable Analysis of PDE Systems which Govern Fluid Flows and Flow-Structure Interactions, October 10-11, 2020.

  1. “Fluid-Structure Interactions: Control and Optimization”, 39th Southeastern-Atlantic Regional Conference on Differential Equations, Embry-Riddle Aeronautical University, Daytona Beach, FL, October 26-27, 2019.
  2. “Optimal Control in Fluid-Elasticity Interactions”, The V AMMCS International Conference, Special Session Optimal Control, Games, and Applications, Waterloo, Ontario, Canada, August 18-23, 2019.
  3. “Poro-visco-elasticity in Biomechanics”, AMS Spring Central and Western Joint Sectional Meeting, Special Session on Mathematical Analysis of Nonlinear Phenomena, University of Hawaii at Manoa, Honolulu, HI, March 22-24, 2019.
  4. “Structural Viscoelasticity and Compressibility in Poroviscoelastic Models, SIAM Geosciences, Houston, TX, March 11-14, 2019.
  5. “Optimization and Control in Free and Moving Boundary Fluid-Structure Interactions”, SAMSI Workshop on Operator Splitting Methods in Data Analysis, Research Triangle Park, NC, March 21- 23, 2018.
  6. “Poro-Visco-Elasticity in Biomechanics”, 42nd SIAM-SEAS Conference, UNC Chapel Hill, March 12, 2018.
  7. “Fluid Flows through Deformable, Porous Media: Analysis and Applications in Biomechanics”, SIAM Conference on Analysis of Partial Differential Equations, MS on Analysis, Control, and Long-time Behavior of Fluid and Flow-Structure Models, December 9-12, 2017.
  8. “Optimization and Control in Free and Moving Boundary Fluid-Structure Interactions”, Women in Control: New Trends in Infinite Dimensions, Banff International Research Station, July 16-21, 2017.
  9. “Optimization and Control in Free Boundary Fluid-Structure Interactions”, MS on Optimal Control and Applications, SIAM Annual Meeting, Pittsburgh, July 10-14, 2017.
  10. “Sensitivity Analysis in Poro-Elastic and Poro-Visco-Elastic Models”, Special Session on Analysis, Control and Stabilization of PDEs, Southeastern Spring Sectional Meeting of AMS, Charleston, March 10-12, 2017.
  11. “The role of structural viscosity in poro-visco-elastic models”, Joint Mathematics Meetings, Special Session on Control and Long Time Behavior of Evolutionary PDEs, Atlanta, January 4-7, 2017.
  12. “Optimization and Control in Free Boundary Fluid-Structure Interactions, 1124th AMS Meeting, Raleigh, November 12-13, 2016.
  13. “Control and Sensitivity Analysis in Fluid-Elasticity Interactions”, The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, SS “Geometric Methods in Mechanics and Differential Equations”, Orlando, FL, July 1-5, 2016.
  14. “Analysis and Sensitivity in the Lamina Cribrosa”, The 11th AIMS Conference on Dynamical Systems,
    Differential Equations and Applications, SS “Long time dynamics, numerical analysis and control of evolutionary systems”, Orlando, FL, July 1-5, 2016.
  15. “Optimization, Control, and Sensitivity Analysis in Fluid-Elasticity Interactions”, International Workshop on Fluid-Structure Interaction Problems, Singapore, May 30- June 3, 2016.
  16. “Control and Sensitivity Analysis in Fluid-Elasticity Interactions”, International Conference on Evolution Equations, SS Analysis and Control of PDE Evolutions with an Interface, Vanderbilt University, May 16-20, 2016.
  17. “Analysis of Nonlinear Poro-Elastic and Poro-Viscoelastic Models”, SIAM Conference on Analysis of Partial Differential Equations, MS on Analysis and Control of Fluid Models and Flow-coupled Systems, Scottsdale, AZ, December 7-10, 2015.
  18. “Control and Sensitivity Analysis in the Lamina Cribrosa”, AMS Fall Southeastern Sectional Meeting, SS Analysis of Differential and Integral Equations, October 17-18, 2015.
  19. “Control and Sensitivity Analysis in the Lamina Cribrosa”, SIAM Conference on Control and Its Applications, SS Control and Estimation for Complex Systems, Paris, France, July 8-10, 2015.
  20. “Controlling Turbulence in Fluid-Elasticity Interactions”, 27th IFIP TC7 Conference on System Modeling and Optimization, SS Wellposedness, control, and observability theories for partial differential equations, Sophia Antipolis, France, June 29-July 3rd, 2015.
  21. “Control and Sensitivity Analysis in the Lamina Cribrosa”, 27th IFIP TC7 Conference on System Modeling and Optimization, SS Modeling, Estimation, and Control Related Issues in Physical and Biological Applications, Sophia Antipolis, France, June 29-July 3rd, 2015.
  22. “Controlling Turbulence in Fluid-Elasticity Interactions”, The Eighth Congress of Romanian Mathematicians, Iasi, Romania, June 26-July 1, 2015.
  23. “Shape Calculus for Wave Equations with Neumann Boundary Conditions”, Recent Developments in Continuum Mechanics and Partial Differential Equations, University of Nebraska-Lincoln, April 18-19, 2015.
  24. “Optimal Control in Free Boundary Fluid-Elasticity Interactions”, 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, SS on Applied analysis and dynamics in engineering and sciences, Madrid, Spain, July 07 – 11, 2014.
  25. “Shape Differentiability for the Wave Equation with Neumann Boundary Conditions”, 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, SS on Nonlinear evolution equations, Madrid, Spain, July 07 – 11, 2014.
  26. “Optimal Control in a Free Boundary Fluid-Elasticity Interaction”, AMS Spring Eastern Sectional Meeting, SS on Mechanics and Control, University of Maryland, Baltimore, MD, March 29-30, 2014.
  27. “Free boundary fluid‐elasticity interactions: sensitivity analysis”, 9th International ISAAC Congress, SS on Nonlinear Infinite Dimensional Evolutions and Control Theory with Applications, Krakow, Poland, August 5-9, 2013.
  28. “Regular Solutions for Wave Equations with Supercritical Sources and Exponential-to-Logarithmic Damping”, AMS Spring Central Section Meeting, SS on Partial Differential Equations, Iowa State University, Ames, IA, April 26-28, 2013.
  29. “Linear models for fluid-elasticity interactions”, 9th AIMS Conf. on Dynamical Systems, Differential Equations and Applications, SS Applied Analysis and Dynamics in Engineering and Sciences, Orlando, FL, July 2012.
  30. “Existence of a unique solution to a linearized steady-state fluid-nonlinear elasticity interaction”, 25th IFIP TC 7 Conference, Analysis and Control of Composite PDE Systems: New Challenges and Methods I-V, Berlin, Germany, September 2011.
  31. “Nonlinear Wave Equations”, Nonlinear Hyperbolic PDEs, Dispersive and Transport Equations Trimester at SISSA, Trieste, Italy, May 2011.
  32. “Existence for a Linearized Steady-State Fluid-Nonlinear Elasticity Interaction”, AWM Connections for Women: Free Boundary Problems, Theory and Applications, MSRI, Berkeley, January 2011.
  33. “Existence for the Linearized Steady-State Fluid-Nonlinear Elasticity Interaction”, 12th Annual Midwest Optimization Meeting, Wayne State University, Detroit, October 2010.
  34. “Existence for the Linearized Steady-State Fluid-Nonlinear Elasticity Interaction”, SEARCDE-30, Virginia Tech, Blacksburg, VA, October 2010.
  35. “Global well-posedness and long-time behavior of solutions to a wave equation”, 7th ISAAC, SS on Control and optimization of nonlinear evolutionary systems, Imperial College, London, July 2009
  36. “On Wave Equations with Interior and Boundary Interactions between Supercritical Sources and Damping Terms”, SIAM Annual Meeting, AWM Workshop: Learning More about Waves, Fluids, Fuels, and Trees, Denver, CO, July 2009.
  37. “Supercritical Sources in Nonlinear Wave Equations”, 6th IMACS International Conference on Nonlinear Wave Equations and Wave Phenomena: Computation and Theory, SS on Asymptotic Behavior and Regularity for Nonlinear Evolution Equations, University of Georgia, Athens, GA, March 2009.
  38. “Supercritical Sources in Nonlinear Wave Equations”, Horizons in Infinite Dimensional Deterministic and Stochastic Systems with Applications to Engineering – Workshop in honor of A.V. Balakrishnan, UCLA, CA, January 2009.
  39. “Wellposedness of Solutions for the Wave Equation with Supercritical Interior and Boundary Sources and Damping”, AMS Fall Central Section Meeting – Special session on Variational Analysis and its Applications, Western Michigan University, Kalamazoo, MI, October 2008.
  40. 5th World Congress of Nonlinear Analysis – SS on “Control, Stabilization and Long Time Behavior of Nonlinear Evolutionary PDE Systems”, Orlando, FL, July 2008.
  41. “Uniqueness of Weak Solutions of Semilinear Wave Equations with Interior-Boundary Supercritical Sources and Damping”, Joint Mathematics Meeting, SS on Stochastic, Large Scale and Hybrid Systems with Applications, San Diego, CA, January 2008.
  42. “Uniqueness of Weak Solutions for Semilinear Wave Equation with Supercritical Boundary and Interior Sources and Damping”, 27th Southeastern Atlantic Regional Conference on Differential Equations (SEARCDE), Murray State University, KY, October 2007.
  43. “Uniqueness of Weak Solutions to Semilinear Wave Equation with Boundary – Interior Sources and Damping”, First Joint International Meeting between the AMS and the Polish Mathematical Society: Control and Optimization of Non-linear PDE Systems, Warsaw, Poland, July 2007.
  44. “Wellposedness and Blow-up of Solutions to Wave Equations with Supercritical Boundary Sources and Boundary Damping”, A Conference on Applied Analysis on the Occasion of the 65th Birthday of David Kinderlehrer, Carnegie Mellon University, October 2006.
  45. “Wellposedness and Blow-up of Solutions to Wave Equations with Supercritical Boundary Sources and Boundary Damping”, Fluids and Waves – Recent Trends in Applied Analysis, Univ. of Memphis, TN, May 2006.
  46. “Local and Global Solutions of Semilinear Wave Equation with Nonlinear Boundary Conditions”, AMS Southeastern Sectional Meeting, SS on Nonlinear PDE Evolutionary Systems and Their Control, Johnson City, TN, Oct. 2005.
  47. “Local and Global Solutions of Semilinear Wave Equation with Nonlinear Boundary Conditions”, AMS-SIAM-NSF Summer Research Conference: Control Methods in PDE – Dynamical systems, Snowbird, UT, July 2005.

 

 

Contributed Colloquium and Seminar Talks

  1. “Analysis, Optimization and Control in Partial Differential Equations”, First Year Seminar, NCSU, February 28, 2020.
  2. “Fluid Flows through Deformable, Porous Media: Analysis and Applications to Ocular Perfusion, Differential Equations and Nonlinear Analysis Seminar, NCSU, September 2017.
  3. “Analysis and Control of PDEs”, First Year Seminar, NCSU, Dept. of Mathematics, October 2014.
  4. “Snowflakes, balloons and the cardiovascular system”, SUM Series NCSU, February 2014.
  5. NCSU Applied Math Club Presentation on “Shape Derivatives”, September 2012.
  6. “Free boundary fluid-elasticity interactions”, Differential Equations Seminar, NC State University, Nov. 2011.
  7. “On the Blow-up in Finite Time Phenomenon in Nonlinear Waves” (4 sessions), DE Seminar, University of Nebraska – Lincoln, January – February 2009.
  8. “On Wave Equations with Interior and Boundary Interactions between Supercritical Sources and Dampings”, Colloquium, Department of Mathematics, University of Nebraska-Lincoln, September 2008.
  9. “Old vs New Techniques in Nonlinear Wave Equations with Damping-Source Interaction”, Differential Equations Seminar, University of Virginia, November 2007.
  10. “Conjugate Functions in Convex Analysis”, Differential Equations Seminar, University of Virginia, Feb. 2007.
  11. “Introduction to Conjugate Functions in Convex Analysis”, Graduate Seminar, University of Virginia, Feb. 2007.
  12. “Uniqueness of Local Solutions for Waves with Supercritical Boundary Sources and Damping”, Differential Equations Seminar, University of Virginia, October 2006.
  13. “A Potential Well Theory for the Wave Equation with Nonlinear Boundary Conditions”, Graduate Seminar, University of Virginia, March 2006.
  14. “Potential Well Theory for the Wave Equation with Nonlinear Boundary Conditions”, Differential Equations Seminar, University of Virginia, February 2006.
  15. “Blow-up of Solutions for the Wave Equation with Nonlinear Boundary Conditions”, Differential Equations Seminar, University of Virginia, November 2005.
  16. “Well-posedness of Solutions for the Wave Equation with Nonlinear Boundary Conditions”, Graduate Seminar, University of Virginia, November 2005.
  17. “Local and Global Solutions for the Wave Equation with Nonlinear Boundary Conditions”, Differential Equations Seminar, University of Virginia, April 2005.
  18. “The Robinson-Schensted-Knuth Correspondence”, Algebra Seminar, University of Virginia, November 2003.

 

Posters

  1. Women in Science and Engineering Symposium 2012, Duke University, NC, December 2012.
  2. The Conference on Non-linear Phenomena in Mathematical Physics: Dedicated to Cathleen Synge Morawetz on her 85th birthday, Fields Institute, Toronto, Canada, September 18-20, 2008.
  3. Connections for Women: Dynamical Systems, Mathematical Sciences Research Institute, Berkeley, CA, January 2007.
  4. A Conference in Honor of Thomas I. Seidman: Advances in Control of Partial Differential Equations, University of Maryland, Baltimore County, October 2006.
  5. Virginia Council of Graduate Schools Graduate Student Research Forum, Richmond, VA, February 2008.

 

Other presentations

  1. Guest Speaker at Gordon E. Keller Mathematics Majors Dinner, University of Virginia, April 21, 2023.
  2. 6th Annual Robert J. Huskey Graduate Research Exhibition, University of Virginia, March 2006.