Zobrazeno 1 - 10
of 27
pro vyhledávání: '"André H. Erhardt"'
Publikováno v:
Frontiers in Physics, Vol 10 (2023)
Externí odkaz:
https://doaj.org/article/2507540ccfc343db9055c8405a118268
Autor:
André H. Erhardt
Publikováno v:
Axioms, Vol 10, Iss 1, p 14 (2021)
We study the stability of a unique weak solution to certain parabolic systems with nonstandard growth condition, which are additionally dependent on a cross-diffusion term. More precisely, we show that two unique weak solutions of the considered syst
Externí odkaz:
https://doaj.org/article/0a3824e6797a44698d7bb64589db5309
Autor:
André H. Erhardt
Publikováno v:
Mathematics, Vol 6, Iss 6, p 103 (2018)
In this paper, we study the dynamics of a certain Hodgkin-Huxley model describing the action potential (AP) of a cardiac muscle cell for a better understanding of the occurrence of a special type of cardiac arrhythmia, the so-called early afterdepola
Externí odkaz:
https://doaj.org/article/3709d9cabf214a3392dbbbde569c91a5
Autor:
André H. Erhardt
Publikováno v:
Mathematics, Vol 5, Iss 4, p 50 (2017)
In this paper, we study weak solutions to the following nonlinear parabolic partial differential equation ∂ t u − div a ( x , t , ∇ u ) + λ ( | u | p ( x , t ) − 2 u ) = 0 in Ω T , where λ ≥ 0 and ∂ t u denote the partial derivative of
Externí odkaz:
https://doaj.org/article/4959098fc7124a479bd80b94d93a2172
Autor:
André H. Erhardt, Susanne Solem
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 21:231-247
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7975a86a6a379e9bb83506ee5adfcc14
https://doi.org/10.1137/21m1425359
https://doi.org/10.1137/21m1425359
Autor:
André H. Erhardt, Krasimira Tsaneva-Atanasova Tsaneva-Atanasova, Glenn Terje Lines, Erik Andreas Martens
Publikováno v:
Frontiers Research Topics ISBN: 9782832514580
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c7efcf3e544eedcf0f10be63ca3cccf9
Publikováno v:
International Journal of Biomathematics. 15
We consider the following two-species parabolic predator–prey chemotaxis system: [Formula: see text] under the homogeneous Neumann boundary conditions in a bounded domain [Formula: see text], [Formula: see text] with smooth boundary [Formula: see t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f03b777dcbb9abf7b6041e71dc88c3fa
https://doi.org/10.1142/s1793524522500541
https://doi.org/10.1142/s1793524522500541
Publikováno v:
Studies in applied mathematics (Cambridge, Mass.). 149(4)
We study steady axisymmetric water waves with general vorticity and swirl, subject to the influence of surface tension. This can be formulated as an elliptic free boundary problem in terms of Stokes' stream function. A change of variables allows us t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b19f036dc947e9e538f9db048240c487
https://pubmed.ncbi.nlm.nih.gov/36605702
https://pubmed.ncbi.nlm.nih.gov/36605702
Autor:
Susanne Solem, André H. Erhardt
Publikováno v:
Communications in nonlinear science & numerical simulation
Cardiac muscle cells can exhibit complex patterns including irregular behaviour such as chaos or (chaotic) early afterdepolarisations (EADs), which can lead to sudden cardiac death. Suitable mathematical models and their analysis help to predict the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0cbaf8e85288265cc824ef39c44fb03e
http://arxiv.org/abs/2005.07070
http://arxiv.org/abs/2005.07070
Publikováno v:
Journal of Computational Neuroscience
In this paper, we investigate the dynamics of a neuron–glia cell system and the underlying mechanism for the occurrence of seizures. For our mathematical and numerical investigation of the cell model we will use bifurcation analysis and some comput
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e25726c6b12cf60a7d3c0423dad6ed59
https://pubmed.ncbi.nlm.nih.gov/32399790
https://pubmed.ncbi.nlm.nih.gov/32399790