Our PhD student Duvan Cardona gave an introductory talk on image processing and mathematical analysis.
There is also a version of his talk in Spanish, available here.
Various processes in nature are characterized by irregular equations, in particular, evolution ones. Such equations could have chaotic and unexpected behaviours of the solutions, causing singularities. Therefore, they are natural in the sciences. Singularities could appear in different characteristics of the models such as coefficients and data. The initial conditions stand for the data for the evolution equations. By having data and coefficients less regular or, even singular, we are facing the difficulties outside of the tools of the classical analysis. For this, we are developing different approaches and technics to deal with. Here, we are more concentrated in such approaches and technics. One of the technics is hidden in the theory of regularisations. By regularising distributional initial data and coefficients, we arrive at the smooth enough operators. Their further study comes down to well-studied problems. One thing needs to be controlled a regularisation parameter. The Special Issue Singularities in Evolution Equations is collecting new results and trends on these problems.
Potential topics include, but are not limited to:
Authors are invited to submit original, unpublished papers. Simultaneous submission to other publication venues is not permitted.
Guidelines for authors are the same as for regular issues. The guidelines file is available at https://www.elsevier.com/journals/chaos-solitons-and-fractals/0960-0779?generatepdf=true.
When submitting papers, authors must select VSI: Evolution Equations as the article type.
Dr. Michael Ruzhansky (Leading Guest Editor)
Dr. Hemen Dutta
Dr. Niyaz Tokmagambetov
If you work in analysis, there is also still a possibility to submit a paper to the (refereed) volume: Ashyralyev A., Kalmenov T., Ruzhansky M., Sadybekov M., Suragan D. (Eds.) Functional Analysis in Interdisciplinary Applications II, Springer Proceedings in Mathematics & Statistics, Springer, to appear
This volume is broader and not focused on the single topic as much as the special issue above. If you are interested in submitting a paper to this volume, please contact Dr Suragan
During the last year we have secured several grants for our educational activities for (PhD) students and early career researchers.
Our grants for educational activities:
|2020||Flemish Government Seasonal School: Singularities in science and engineering (€23,000)|
|2020||Flemish Government Doctoral School: Wave equations and tsunami propagation (€3,650)|
|2019||Flemish Government Doctoral School: Inverse Spectral and Scattering Problems (€4,000)|
Here is the first one that we have just organised. The other two are still to come.
Doctoral School on Inverse Spectral and Scattering Problems, 27 February – 10 March 2020, Ghent University, Belgium
Serena Federico (UGent), Marianna Chatzakou (Imperial College London), and Wagner Augusto Almeida de Moraes (Curitiba Brazil) at the ICMC summer meeting on differential equations in Sao Carlos, Brazil, 3-5 February 2020. All three are working on different exciting problems related to the analysis on Lie groups!
Inverse problems for differential operators are of the utmost importance in fundamental sciences and in a range of applications, including solutions of different types of partial and pseudo differential equations. We are dealing with inverse spectral and inverse scattering problems, which are both interesting topics on their own and as tools in solving the wide range of linear and nonlinear problems, appearing in natural sciences, economics and industry.
We will be organising a course on this topic From Monday 2 March to Wednesday 11 March 2020 from 10h00 – 13h00.
Prof. Igor Trushin, Department of Mathematics, Faculty of Sciences , Shinshu University, Japan
Contact details: firstname.lastname@example.org
More details and registration are available here
Thanks to David Rottensteiner, with further help from Junqing Huang, for making our poster!
You can click on the poster below to see it in detail:
A while ago we also started some research on medical imaging, deep learning, and more general computer imaging.
For a brief description of several projects see here
Huang J., Ruzhansky M., Feng H., Zheng L., Huang X., Wang H., Feature extraction for license plate location based on L0-norm smoothing. Open Comput. Sci. 2019; 9:28-135. link (open access)
Mamaeva S.N., Kononova I.V., Ruzhansky M., Nikiforov P.V., Nikolaevа N.A., Pavlov A.N., Fedorova N.F., Huang J., Semenova M.N., Barashkova D.V., Frolova L.S., Maksimov G.V., Using Scanning Electron Microscopy and Atomic Force Microscopy to Study the Formation of Nanoparticles on Red Blood Cell Surface in Cervical Cancer Patients, International Journal of Biomedicine, 10(1): 70-75, 2020. link to the article
Huang, J., Ruzhansky M., Wang, H. (2020). Weakly supervised learning photo enhancer with inexact training pairs. to appear
will be taking place during 31 August – 4 September 2020, at Ghent University, Belgium.
We are pleased to invite you to the International Conference on Generalized Functions (GF2020), to be held at Ghent University, Belgium, from August 31 to September 4, 2020. The conference is dedicated to the 70th birthday of Stevan Pilipović.
This conference continues a long-standing tradition of international conferences on generalized functions gathering researchers working in all branches of this field. The most recent conferences were held in Novi Sad (Serbia, 2018), Dubrovnik (Croatia, 2016), Southampton (United Kingdom, 2014), Martinique (France, 2011) and Vienna (Austria, 2009). The GF2020 aims at a broad coverage of research on generalized functions and their applications in and interactions with other areas of mathematics.
Keep an eye on the GF2020 Conference Website for useful information.
The conference is organised by the Department of Mathematics: Analysis, Logic and Discrete Mathematics. The head of the organising committee is Jasson Vindas, an expert on generalised functions, functional and wavelet analysis. For the full membership of the organisation committee, and for further information see here.
One of the recent directions in Generalised Functions: VERY WEAK SOLUTIONS