I. - Basic information

I.1 - Surname

Filo

I.2 - Name

Jan

I.3 - Degrees

prof. Dr.

I.4 - Year of birth

1955

I.5 - Name of the workplace

Department of Mathematical Analysis and Numerical Mathematics FMPI CU

I.6 - Address of the workplace

Fakulta matematiky, fyziky a informatiky Univerzity Komenského Mlynská dolina F1 842 48 Bratislava

I.7 - Position

professor

I.8 - E-mail address

jan.filo@fmph.uniba.sk

I.9 - Hyperlink to the entry of a person in the Register of university staff

https://www.portalvs.sk/regzam/detail/4547

I.10 - Name of the study field in which a person works at the university

Mathematics

I.11 - ORCID iD

https://orcid.org/0000-0003-4656-3303

II. - Higher education and further qualification growth

II.1 - First degree of higher education

II.2 - Second degree of higher education

II.a - Name of the university or institution

Faculty of Natural Sciences of Comenius University in Bratislava

II.b - Year

1979

II.c - Study field and programme

Mathematics

II.3 - Third degree of higher education

II.a - Name of the university or institution

Comenius University in Bratislava

II.b - Year

1985

II.c - Study field and programme

Mathematics

II.4 - Associate professor

II.a - Name of the university or institution

Comenius University in Bratislava

II.b - Year

1986

II.c - Study field and programme

Mathematics

II.5 - Professor

II.a - Name of the university or institution

Comenius University in Bratislava

II.b - Year

2005

II.c - Study field and programme

Mathematics

II.6 - Doctor of Science (DrSc.)

II.a - Name of the university or institution

III. - Current and previous employment

III.a - Occupation-position	III.b - Institution	III.c - Duration
professor	Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics	2005-present
Associate professor	Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics	1996-2005
Researcher	Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics	1986-1995
Scientific assistant	Department of Mechanics, Slovak technical University in Bratislava	1984-1986

IV. - Development of pedagogical, professional, language, digital and other skills

V. - Overview of activities within the teaching career at the university

V.1 - Overview of the profile courses taught in the current academic year according to study programmes

V.1.a - Name of the profile course	V.1.b - Study programme	V.1.c - Degree	V.1.d - Field of study
Matematika (1), (2) / Mathematics (1), (2)	Fyzika / Physics	I.	fyzika/Physics
Classical Methods of Solving Partial Differential Equations	Matematika / Mathematics	I.	matematika/Mathematics
Transport, conservation laws and equations of motion	Matematika / Mathematics	II.	matematika/Mathematics
Numerické metódy zachovania / Numerical Methods for Conservation Law	Mathematics	III.	Mathematics

V.2 - Overview of the responsibility for the delivery, development and quality assurance of the study programme or its part at the university in the current academic year

V.2.a - Name of the study programme	V.2.b - Degree	V.2.c - Field of study
Mathematics (Program director)	I.	Mathematics
Mathematics (Program director)	II.	Mathematics
Mathematics (Program director)	III.	Mathematics

V.3 - Overview of the responsibility for the development and quality of the field of habilitation procedure and inaugural procedure in the current academic year

V.4 - Overview of supervised final theses

V.4.1 - Number of currently supervised theses

V.4.2 - Number of defended theses

V.4.a - Bachelor's (first degree)

V.4.b - Diploma (second degree)

V.4.c - Dissertation (third degree)

V.5 - Overview of other courses taught in the current academic year according to study programmes

VI. - Overview of the research/artistic/other outputs

VI.1 - Overview of the research/artistic/other outputs and the corresponding citations

VI.1.1 - Number of the research/artistic/other outputs

VI.1.a - Overall

VI.1.b - Over the last six years

VI.1.2 - Number of the research/artistic/other outputs registered in the Web of Science or Scopus databases

VI.1.a - Overall

VI.1.b - Over the last six years

VI.1.3 - Number of citations corresponding to the research/artistic/other outputs

VI.1.a - Overall

267

VI.1.b - Over the last six years

VI.1.4 - Number of citations registered in the Web of Science or Scopus databases

VI.1.a - Overall

234

VI.1.b - Over the last six years

VI.1.5 - Number of invited lectures at the international, national level

VI.1.a - Overall

VI.2 - The most significant research/artistic/other outputs

Filo, J., Diffusivity versus absorption through the boundary, Journal of Differential Equations 99 (1992) 281-305

Filo, J. and Luckhaus, S., Asymptotic expansion for periodic boundary condition, Journal of Differential Equations, 120 (1995) 133-173

Filo, J. and Hundertmark, A,, 2D Navier-Stokes equations in a time dependent domain with Neumann type boundary conditions, Journal of Mathematical Fluid Mechanics 12 (2010) 1-46

Filo, J. and Pluschke, V., The porous medium equation in a two-component domain, Journal of Differential Equations 9 (2009) 2455-2484

Filo, J. and Pluschke, V., A self-similar solution for the porous medium equation in a two-component domain, Nonlinear Analysis : Theory, Methods & Applications 75 (2012) 880-898

VI.3 - The most significant research/artistic/other outputs over the last six years

Filo, J. and Pluschke, V., Divergence Free Functions in a Problem of the Flow Between a Fixed Inner Pipe and an Outer Pipe with a Moving Boundary, Journal of Dynamics and Differential Equations 1 (2024) 41-52

Filo, J. and Pluschke, V., An approximation of the nonlinear fluid–structure interaction problem for a rotationally symmetric flow, Acta Mathematica Universitatis Comenianae, 90 (2021) 61-91

Filo, J. and Pluschke, V., Divergence free functions in a problem of the rotationally symmetric flow through a pipe-like domain with a moving boundary, Journal of Mathematical Fluid Mechanics, 21 (2019) 2, 1-17

VI.4 - The most significant citations corresponding to the research/artistic/other outputs

Filo, Ján : Uniform bounds for solutions of a degenerate diffusion equation with nonlinear boundary conditions In: Commentationes Mathematicae Universitatis Carolinae. - Vol. 30, No. 3 (1989), s. 485-495. - ISSN 0010-2628 [o1] 1994 Lieberman, G.: Maximum estimates for solutions of degenerate parabolic equations in divergence form. In: Journal of Differential Equations, Vol. 113, No. 2, 1994, s. 543-571 - SCI

Luckhaus, Stephan - Filo, Ján : Asymptotic expansion for periodic boundary condition In: Journal of Differential Equations. - Vol. 120, No. 1 (1995), s. 133-173. - ISSN 0022-0396 [o1] 2019 Lawley, S. D.: Boundary homogenization for trapping patchy particles. In: Physical Review E, Vol. 100, No. 3, 2019, Art. No. 032601 - SCI ; SCOPUS

Filo, Ján : Local existence and L.INFIN.-estimate of weak solutions to a nonlinear degenerate parabolic equation with nonlinear boundary data In: PanAmerican Mathematical Journal. - Vol. 4, No. 3 (1994), s. 1-31. - ISSN 1064-9735 [o1] 2005 Ebmeyer, C. - Urbano, J.M.: The smoothing property for a class of doubly nonlinear parabolic equations. In: Transactions of the American Mathematical Society, Vol. 357, No. 8, 2005, s. 3239-3253 - SCI ; SCOPUS

Filo, Ján - Kačur, Jozef: Local existence of general nonlinear parabolic systems, Nonlinear Analysis : Theory, Methods & Applications. - Vol. 24, No. 11 (1995), s. 1597-1618. - ISSN (print) 0362-546X [o1] 2001 Carrillo, J. A. - Jungel, A. - Markowich, P. A.: Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities. In: Monatshefte für Mathematik, Vol. 133, No. 1, 2001, s. 1-82 - SCI ; SCOPUS

Filo, Ján : Diffusivity versus absorption through the boundary In: Journal of Differential Equations. - Vol. 99, No. 2 (1992), s. 281-305. - ISSN 0022-0396 [o1] 2020 Sato, R. - Takahashi, J.: Critical exponents for the fast diffusion equation with a nonlinear boundary condition. In: Journal of Mathematical Analysis and Applications, Vol. 482, No. 1, 2020, Art. No. 123526 - SCI ; SCOPUS

VI.5 - Participation in conducting (leading) the most important research projects or art projects over the last six years

APVV-23-0039 Qualitative properties of evolution problems from science and technology (principal investigator prof. RNDr. Michal Fečkan, DrSc.) 2024-2028

APVV-18-0308 Nonlinear phenomena in dynamical systems from science and technology (principal investigator prof. RNDr. Marek Fila, DrSc.) 2019-2023

APVV-14-0378 Nonlinear phenomena in evolution equations from science and technology (principal investigator prof. RNDr. Marek Fila, DrSc.) 2014-2019

Slovak Grant Agency VEGA-MŠ, project No. 1/0709/24 (principal investigator Dr. Hana Šmitala Mizerová)

VII. - Overview of organizational experience related to higher education and research/artistic/other activities

VII.a - Activity, position	VII.b - Name of the institution, board	VII.c - Duration
Head of	Mathematical Section of the Faculty	2019-present
Vice-Dean for doctoral studies	Faculty of Mathematics, Physics and Informatics Comenius University	2007 - 2016
Head of	Department of Mathematical Analysis and Numerical Mathematics FMPI CU	2004 - 2007
Head of	Institute of Applied Mathematics FMPI CU	1997 - 2002

VIII. - Overview of international mobilities and visits oriented on education and research/artistic/other activities in the given field of study

VIII.a - Name of the institution	VIII.b - Address of the institution	VIII.c - Duration (indicate the duration of stay)	VIII.d - Mobility scheme, employment contract, other (describe)
University of Bonn, Institute for Applied Mathematics	Rheinische Friedrich-Wilhelms-Universität Bonn, Wegelerstraße 10, 53115 Bonn	1.9.1991 - 30.4.1993	Alexander von Humboldt scholarship
University of Leipzig, Institute of Mathematics	Universität Leipzig, Ritterstraße 26, 04109 Leipzig	15.4.1998 - 15.10.1998	Alexander von Humboldt scholarship
University of Leipzig, Institute of Mathematics	Universität Leipzig, Ritterstraße 26, 04109 Leipzig	1.11.2006 - 31.01.2007	Alexander von Humboldt scholarship

IX. - Other relevant facts

Date of last update

2025-01-05

Name and surname:	prof. RNDr. Ján Filo, CSc.
Document type:	Research/art/teacher profile of a person
The name of the university:	Comenius University Bratislava
The seat of the university:	Šafárikovo námestie 6, 818 06 Bratislava