Calculus of Variations and Geometric Measure Theory

PhD Position in Mathematical Analysis of PDEs

created by gnann on 12 Jul 2023

Deadline: 7 aug 2023

Codimension two free boundary problems in fluid mechanics.

Job description At the Delft Institute for Applied Mathematics (DIAM), part of Delft University of Technology (TU Delft), Netherlands, a full-time PhD position in the mathematical analysis of partial differential equations from fluid mechanics is offered. The PhD student will be supervised by Dr. M.V. Gnann. The focus of the project is on the thin-film equation formulated as a classical free boundary problem. The research will be on developing a well-posedness and regularity theory under optimal conditions that in particular characterizes singularities at the contact line using the intrinsic geometry of the equation. For more information regarding Dr. Gnann's research, please visit:

The appointment is for a duration of 48 months. The earliest starting date is September 1, 2023, the latest possible starting date is December 1, 2023.

The project is funded by NWO ENW Vidi grant "Codimension two free boundary problems" (awared to Dr. Gnann) and includes a generous budget for travel, inviting visitors, participating in conferences, etc. The salary is determined according to pay scale P (promovendus) of the Collective Labour Agreement of Dutch Universities, see: Dutch Universities

and ranges from 2,541€ to 3,247€ per month. Additionally, an 8% holiday allowance and an 8.3% year-end bonus is paid. In many cases, for applicants from abroad a tax reduction applies, see Belastingdienst

The successful candidate will focus on carrying out mathematical research. A light teaching load comes with the position. Communication will be in English. If desired by the candidate, there is the possiblity to take Dutch language courses offered by the Language Center for Languages and Academic Skills of TU Delft, see: courses

PhD students are enrolled in two graduate schools (one of the faculty and one of the entire university) offering courses for transferable (social) skills, discipline related skills, and research skills. For more information on the PhD program, please visit the website: PhD programmes

Requirements You should:

Hold a master's degree in mathematics or a closely related discipline, Have a profound knowledge on the mathematical analysis of partial differential equations through training offered by respective courses, Have excellent proficiency in oral and written English, Be able to work in teams Doing a PhD at TU Delft requires English proficiency at a certain level to ensure that the candidate is able to communicate and interact well, participate in English-taught Doctoral Education courses, and write scientific articles and a final thesis. For more details please check the Graduate Schools Admission Requirements.

Conditions of employment Doctoral candidates will be offered a 4-year period of employment in principle, but in the form of 2 employment contracts. An initial 1,5 year contract with an official gono go progress assessment within 15 months. Followed by an additional contract for the remaining 2,5 years assuming everything goes well and performance requirements are met.

Salary and benefits are in accordance with the Collective Labour Agreement for Dutch Universities, increasing from € 2541 per month in the first year to € 3247 in the fourth year. As a PhD candidate you will be enrolled in the TU Delft Graduate School. The TU Delft Graduate School provides an inspiring research environment with an excellent team of supervisors, academic staff and a mentor. The Doctoral Education Programme is aimed at developing your transferable, discipline-related and research skills.

The TU Delft offers a customisable compensation package, discounts on health insurance and sport memberships, and a monthly work costs contribution. Flexible work schedules can be arranged.

For international applicants, TU Delft has the Coming to Delft Service. This service provides information for new international employees to help you prepare the relocation and to settle in the Netherlands. The Coming to Delft Service offers a Dual Career Programme for partners and they organise events to expand your (social) network.

TU Delft (Delft University of Technology) Delft University of Technology is built on strong foundations. As creators of the world-famous Dutch waterworks and pioneers in biotech, TU Delft is a top international university combining science, engineering and design. It delivers world class results in education, research and innovation to address challenges in the areas of energy, climate, mobility, health and digital society. For generations, our engineers have proven to be entrepreneurial problem-solvers, both in business and in a social context.

At TU Delft we embrace diversity as one of our core values and we actively engage to be a university where you feel at home and can flourish. We value different perspectives and qualities. We believe this makes our work more innovative, the TU Delft community more vibrant and the world more just. Together, we imagine, invent and create solutions using technology to have a positive impact on a global scale. That is why we invite you to apply. Your application will receive fair consideration.

Challenge. Change. Impact!

Faculty Electrical Engineering, Mathematics and Computer Science The Faculty of Electrical Engineering, Mathematics and Computer Science (EEMCS) brings together three scientific disciplines. Combined, they reinforce each other and are the driving force behind the technology we all use in our daily lives. Technology such as the electricity grid, which our faculty is helping to make completely sustainable and future-proof. At the same time, we are developing the chips and sensors of the future, whilst also setting the foundations for the software technologies to run on this new generation of equipment – which of course includes AI. Meanwhile we are pushing the limits of applied mathematics, for example mapping out disease processes using single cell data, and using mathematics to simulate gigantic ash plumes after a volcanic eruption. In other words: there is plenty of room at the faculty for ground-breaking research. We educate innovative engineers and have excellent labs and facilities that underline our strong international position. In total, more than 1000 employees and 4,000 students work and study in this innovative environment.

Click here to go to the website of the Faculty of Electrical Engineering, Mathematics and Computer Science.

Additional information Inquiries regarding the application procedure should be sent to

For scientific inquiries regarding this vacancy, please contact Dr. M.V. Gnann via email:

In order to simplify communication, please add the prefix PhDGnann2023 or the vacancy number to the email's subject. Before inquiring, please visit the web page for general information about Dr. Gnann's research.

You will be contacted by Dr. Gnann for an interview (via zoom) if you are among the leading candidates, in which case more specific information will be provided.

Review of applications will start on July 17, 2023. Applications uploaded before August 7, 2023, will be given full consideration. Later applications may still be considered until the position is filled.

Application procedure Are you interested in this vacancy? Please apply before 7 August 2023 via the application button and upload:

A cover letter explaining the candidates scientific interests and why they connect to the topic of the project, The most recent CV, If applicable, a publication list, Copies of academic transcripts, Contact details of at least two, preferrably three senior scientists who have been contacted beforehand for a recommendation letter regarding the candidates performance as a student and scientific work, The candidates bachelor's and master's theses (if available online, a link is sufficient). If available, a summary of the theses can be added. Please note:

A pre-employment screening can be part of the selection procedure. You can apply online. We will not process applications sent by email andor post. Please do not contact us for unsolicited services.