Disputation: Anna Piterskaya

Doctoral candidate Anna Piterskaya at the Department of Mathematics will be defending the thesis Plasma Instabilities and Turbulence with Magneto-Hydrodynamics and Spectral Numerical Simulations for the degree of Philosophiae Doctor.

picture of the candidate

Doctoral candidate Anna Piterskaya.

The PhD defence will be in Abels utsikt - Niels Henrik Abels hus. The host of the session will moderate the technicalities while the chair of the defence will moderate the disputation.

Ex auditorio questions: the chair of the defence will invite the audience to ask questions ex auditorio at the end of the defence.

Trial lecture

March 19th, time: 10:15 am, room 1259 (Abels utsikt).

Dynamic mode decomposition

Main research findings 

Plasma is composed of charged particles that interact with magnetoelectric fields. The motion of these particles is highly complex, making the study of plasma physics a challenging endeavor. It is estimated that 99% of visible matter exists in the plasma state, highlighting the importance and fascination of researching this topic to better understand our surrounding world.

However, the intricate processes within plasma complicate its study. Conducting experiments or deploying observational instruments to collect environmental data is often expensive, requiring significant development and maintenance of specialized equipment. Fortunately, advancements in modern computer technologies have introduced an alternative research method: simulating processes using numerical methods.

This thesis examines a specific class of numerical methods used to study plasma instabilities and assess how different magnitudes and directions of magnetic fields influence the development of these instabilities. By discretizing the mathematical equations in both time and space, these numerical methods facilitate detailed analysis. Further research focused on enhancing and evaluating the stability of the proposed numerical schemes under various parameters.

The findings of this work have potential applications in large-scale studies of plasma instability in areas such as the ionospheric physics and astrophysics, providing valuable insights for future scientific and technological advancements.

Adjudication committee

  • Professor David I. Ketcheson, King Abdullah University of Science and Technology 
  • Principal Scientist Carl Erik Wasberg, Norwegian Defence Research Establishment 
  • Professor Karsten Trulsen, University of Oslo

Supervisors

  • Professor Mikael Mortensen, University of Oslo
  • Professor Wojciech J. Miloch, University of Oslo

Chair of defence

Professor Thordis Linda Thorarinsdottir.

Host of the session

Professor Karsten Trulsen, University of Oslo

 

Organiser

Department of Mathematics
Published Mar. 5, 2025 10:06 AM - Last modified Mar. 5, 2025 10:06 AM