In this paper we prove the existence of solutions of the Keller–Segel model in chemotaxis, which blow up in finite or infinite time. This is done without assuming any symmetry properties of the solution.
European Journal of Applied Mathematics Template
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About the European Journal of Applied Mathematics format
European Journal of Applied Mathematics is a peer-reviewed journal published by Cambridge University Press, covering Advanced Mathematical Modeling in Engineering, Diverse Scientific and Economic Studies, Human auditory perception and evaluation.
| Publisher | Cambridge University Press |
|---|---|
| Reference style | Numbered Numbered — [1], [2] in the text [1] A. Smith, B. Jones, and C. Lee, A representative article title, European Journal of Applied Mathematics 12 (2023) 45–58.
Formats any DOI in the closest standard style — European Journal of Applied Mathematics has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Advanced Mathematical Modeling in Engineering Diverse Scientific and Economic Studies Human auditory perception and evaluation Nonlinear Dynamics and Pattern Formation Mathematical and Theoretical Epidemiology and Ecology Models |
| ISSN | 0956-7925 |
| Citation impact (2-yr) | 2.17 |
| h-index | 67 |
| i10-index | 592 |
| Total citations | 25,736 |
| Open access | Yes |
| Top institutions publishing here | Centre National de la Recherche Scientifique |
| Journal website | www.cambridge.org |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in European Journal of Applied Mathematics per year
Citation impact of European Journal of Applied Mathematics by publication year
Citations each year’s papers have accumulated so far — the most recent years are still building up.
Most-cited papers in European Journal of Applied Mathematics
An effective algorithmic method is presented for finding the local conservation laws for partial differential equations with any number of independent and dependent variables. The method does not require the use or existence of a variational principle and reduces the calculation of conservation laws to solving a system of linear determining equations similar to that…
This paper gives a general treatment and proof of the direct conservation law method presented in Part I (see Anco & Bluman [3]). In particular, the treatment here applies to finding the local conservation laws of any system of one or more partial differential equations expressed in a standard Cauchy-Kovalevskaya form. A summary of the…
Image inpainting is an image restoration problem, in which image models play a critical role, as demonstrated by Chan, Kang & Shen's [12] recent inpainting schemes based on the bounded variation and the elastica [11] image models. In this paper, we propose two novel inpainting models based on the Mumford–Shah image model [41], and its…
The article presents a survey of mathematical problems, techniques and challenges arising in thermoacoustic tomography and its sibling photoacoustic tomography.