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Lund University Doctoral Student in Partial Differential Equations 2026 | Fully Funded PhD in Sweden
If you’re planning to pursue a PhD in mathematics at one of Europe’s leading universities, the Lund University Doctoral Student in Partial Differential Equations 2026 position is an excellent opportunity. The Centre for Mathematical Sciences at Lund University is inviting applications for a fully funded doctoral position focusing on nonlinear partial differential equations, fluid mechanics, and wave motion.
The doctoral position is based in Lund, Sweden, and is partly funded by the Crafoord Foundation. Successful applicants will work in an internationally recognized research environment while receiving a monthly salary and employee benefits. The application deadline is 1 July 2026, making this an excellent opportunity for mathematics graduates looking to begin a research career in Europe.
Programme Highlights
| Particular | Details |
|---|---|
| Position | Doctoral Student in Partial Differential Equations |
| University | Lund University |
| Faculty | Faculty of Science |
| Department | Centre for Mathematical Sciences |
| Division | Mathematics |
| Country | Sweden |
| City | Lund |
| Employment Type | Full-time Temporary Doctoral Employment |
| Duration | 4 Years |
| Research Area | Partial Differential Equations, Fluid Mechanics, Wave Motion |
| Funding | Partly funded by the Crafoord Foundation |
| Salary | Monthly Salary |
| Application Deadline | 1 July 2026 |
| Start Date | 1 September 2026 (or according to agreement) |
About the Position
Founded in 1666, Lund University is one of Sweden’s oldest and most prestigious universities. It consistently ranks among the world’s leading universities and hosts around 46,000 students and 8,500 employees across its campuses.
This PhD opportunity is offered by the Division of Mathematics at the Centre for Mathematical Sciences, a joint department of the Faculty of Engineering (LTH) and the Faculty of Science. The department brings together internationally recognized researchers in areas including partial differential equations, operator theory, harmonic analysis, inverse problems, differential geometry, scientific computing, algebra, and complex analysis.
The doctoral research focuses on nonlinear partial differential equations in fluid mechanics and wave motion. The project investigates steady solutions to the Euler equations with applications to water waves with vorticity. Research will involve advanced mathematical analysis using nonlinear functional analysis and dynamical systems. Depending on the applicant’s interests, the project may also include numerical computations.
Researchers may also have opportunities to collaborate on closely related topics such as:
- Thin film equations
- Nonlinear nonlocal dispersive equations
- Mathematical modelling in fluid mechanics
The successful candidate will become part of an active and growing international research group with access to seminars, conferences, and collaboration opportunities.
Eligibility Criteria
Applicants must satisfy both the general and specific admission requirements.
General Admission Requirements
Applicants must have one of the following:
- A second-cycle (Master’s) qualification
- At least 240 ECTS credits, including 60 credits at second-cycle level
- Equivalent qualifications obtained in Sweden or abroad
Specific Admission Requirements
Applicants should have:
- At least 120 ECTS credits in Mathematics
- At least 50 ECTS credits at Master’s (advanced) level
- A degree project corresponding to 30 ECTS credits
- Strong knowledge of mathematical analysis
- Ability to conduct independent research
- Good written and oral communication skills
- Excellent English proficiency
Equivalent qualifications from other institutions will also be considered.
Benefits & Funding
Selected doctoral students will be employed by Lund University and receive employee benefits.
Benefits include:
- Monthly salary
- Full-time employment for four years
- Employment extension for teaching duties (up to 20%)
- Generous paid annual leave
- Occupational pension
- International research environment
- Opportunities to attend seminars and international conferences
- Academic supervision by leading researchers
- Teaching experience
- Professional development throughout the doctoral programme
Job Profile & Responsibilities
The doctoral student will mainly focus on research and doctoral studies.
Key responsibilities include:
- Conduct research in nonlinear partial differential equations
- Study mathematical models in fluid mechanics and wave motion
- Analyse Euler equations and water waves with vorticity
- Apply nonlinear functional analysis and dynamical systems methods
- Participate in doctoral courses
- Attend departmental seminars
- Present research findings at conferences
- Publish scientific research
- Undertake teaching and departmental duties (maximum 20%)
- Collaborate with researchers within the department
Selection Process
Eligible applicants will be assessed based on:
- Academic qualifications
- Research potential
- Ability to work independently
- Knowledge of partial differential equations
- Functional analysis background
- Mathematical analysis skills
- Experience with fluid mechanics models (strong merit)
- English language proficiency
- Collaboration skills and motivation
Preference will be given to applicants who graduated within three years before the application deadline.
How to Apply
Applications must be submitted in English.
Required Documents
- Updated CV
- Personal letter explaining:
- Why you are interested in the PhD position
- How your academic background aligns with the project
- Degree certificates
- Academic transcripts
- Copies of grades
- Reference details
- Recommendation letters (if available)
- Any additional supporting documents relevant to the application
Applications should be submitted through Lund University’s official recruitment system before the deadline.
Important Dates
| Event | Date |
|---|---|
| Application Opens | 10 June 2026 |
| Last Date to Apply | 1 July 2026 |
| Employment Starts | 1 September 2026 (or according to agreement) |
Important Links
Contact Details
Dr. Evgeniy Lokharu
Associate Professor (Universitetslektor)
Centre for Mathematical Sciences
Lund University
Phone: +46 76 293 8165
Email: evgeniy.lokharu@math.lu.se
Location: Lund, Sweden
FAQs
Who can apply for the Lund University Doctoral Student in Partial Differential Equations 2026?
Applicants with a relevant Master’s degree in Mathematics or equivalent qualifications who meet the admission requirements are eligible to apply.
Is this a fully funded PhD?
Yes. Doctoral students are employed by Lund University and receive a monthly salary along with employee benefits.
What is the research area?
The research focuses on nonlinear partial differential equations, fluid mechanics, wave motion, Euler equations, and water waves with vorticity.
What is the application deadline?
The last date to submit applications is 1 July 2026.
Where is the position located?
The doctoral position is based at the Centre for Mathematical Sciences, Lund University, Lund, Sweden.
Is teaching required?
Teaching and departmental duties may be assigned for up to 20% of the workload, and the doctoral employment will be extended accordingly.
What documents are required for Lund University PhD in Partial Differential Equations 2026?
Applicants must submit a CV, personal letter, degree certificates, academic transcripts, references, and any additional supporting documents relevant to their application.