PhD Opportunity 2026 | Analysis of Partial Differential Equations at TU Delft

PhD Opportunity 2026 | Analysis of Partial Differential Equations at TU Delft

Delft University of Technology (TU Delft) invites applications for a fully funded PhD position in Analysis of Partial Differential Equations (PDEs). Hosted by the Delft Institute of Applied Mathematics (DIAM), this research opportunity focuses on the mathematical analysis of PDEs arising from structured population dynamics and kinetic theory, offering an excellent environment for advanced theoretical research.

Position Overview

About the Project

This PhD project focuses on the qualitative and quantitative analysis of Partial Differential Equations (PDEs) arising in structured population dynamics and kinetic theory. The research includes mathematical models such as the Boltzmann and Landau equations, with opportunities to explore topics based on the candidate's academic interests and expertise.

The selected researcher will work under the supervision of Havva Yoldaş and co-supervision of Raphael Winter (Cardiff University) while contributing to cutting-edge research in applied mathematics.

Research Responsibilities

The selected PhD researcher will:

• Conduct advanced research on Partial Differential Equations (PDEs).

• Study qualitative and quantitative properties of kinetic equations.

• Apply mathematical tools from PDE theory, functional analysis, and probability theory.

• Investigate topics such as well-posedness, long-term behaviour, scaling limits, and information-theoretic methods.

• Present research findings at national and international conferences and workshops.

• Participate in collaborative research activities within the DIAM research group.

Research Focus Areas

The project includes research in:

• Partial Differential Equations (PDEs)

• Applied Mathematics

• Kinetic Theory

• Structured Population Dynamics

• Boltzmann Equation

• Landau Equation

• Functional Analysis

• Probability Theory

• Mathematical Modelling

• Information-Theoretic Methods

Eligibility Criteria

Applicants should possess:

• A Master's degree (or expected completion before appointment) in Mathematics or a closely related discipline.

• Strong background in the mathematical analysis of Partial Differential Equations.

• Preferably, knowledge of Probability Theory.

• Strong analytical and problem-solving skills.

• Excellent written and spoken English communication skills.

• Ability to work both independently and collaboratively within an international research environment.

Why Join TU Delft?

This PhD position offers the opportunity to:

• Conduct high-level mathematical research at one of Europe's leading technical universities.

• Work with internationally recognized experts in applied mathematics.

• Present research at international conferences and workshops with available travel support.

• Join two graduate schools offering research, discipline-specific, and transferable skills training.

• Gain teaching experience through a light teaching load while pursuing doctoral research.

How to Apply

Interested candidates should submit their application through the official TU Delft careers portal, including all required academic documents and supporting materials specified in the official vacancy announcement.

About TU Delft

Delft University of Technology (TU Delft) is one of Europe's premier technical universities, internationally renowned for excellence in mathematics, engineering, science, and technology. Through world-class research and global collaborations, TU Delft provides researchers with an outstanding environment to tackle fundamental scientific challenges and develop innovative solutions with real-world impact.

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