Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.
Acta Applicandae Mathematicae
Description
Identifiers
| ISSN | 0167-8019 |
| e-ISSN | 1572-9036 |
| DOI | 10.1007/10440.1572-9036 |
Publisher
Springer Netherlands
Additional information
Data set: Springer
Articles
article
Acta Applicandae Mathematicae > 2019 > 164 > 1 > 1-19
We derive uniform in time L ∞ -bound for solutions to an aggregation-diffusion model with attractive-repulsive potentials or fully attractive potentials. We analyze two cases: either the repulsive nonlocal term dominates over the attractive part, or the diffusion term dominates over the fully attractive nonlocal part. When the repulsive part of the potential has a weaker singularity...
article
Acta Applicandae Mathematicae > 2019 > 164 > 1 > 49-64
Many physical problems need a multidimensional description and involve high dimensional spaces. Standard discretization techniques often lead to an excessive computation time. To solve this problem, we develop in this paper an empirical interpolation decomposition (EID) for multivariate functions. This method provides an approximate representation of a given function in separate form. Error estimates...
article
Acta Applicandae Mathematicae > 2019 > 164 > 1 > 155-164
In this paper the authors investigate a class of p -Laplace equations with logarithmic nonlinearity, which were considered in Le and Le (Acta Appl. Math. 151:149–169, 2017), where, among other things, global existence and finite time blow-up of solutions were proved when the initial energy is subcritical and critical, that is, initial energy smaller than or equal to the depth of the potential...
