In “Chaos, Solitons & Fractals“, Elsevier
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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:
- Singular evolution equations and very weak solutions;
- Partial differential equations with time- and space-irregular coeﬃcients;
- Hyperbolic and parabolic type equations with distributional data.
Authors are invited to submit original, unpublished papers.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