Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Seyyed Abbas Mohammadi"'
Publikováno v:
KSCE Journal of Civil Engineering. 27:1551-1557
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::456fa36416768a333382a51f372226a6
https://doi.org/10.1007/s12205-023-1866-2
https://doi.org/10.1007/s12205-023-1866-2
Publikováno v:
SIAM Journal on Applied Mathematics. 81:1077-1097
In this paper we address the question of determining optimal chemotherapy strategies to prevent the growth of brain tumor population. To do so, we consider a reaction-diffusion model which describe...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::471ea489399903e710140733ce8d243a
https://doi.org/10.1137/20m135995x
https://doi.org/10.1137/20m135995x
Autor:
Chiu-Yen Kao, Seyyed Abbas Mohammadi
Publikováno v:
Journal of mathematical biology. 85(5)
In this paper, we investigate the maximization of the total population of a single species which is governed by a stationary diffusive logistic equation with a fixed amount of resources. For large diffusivity, qualitative properties of the maximizers
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1593e3fd7be87b596e070afa71e22483
https://pubmed.ncbi.nlm.nih.gov/36207613
https://pubmed.ncbi.nlm.nih.gov/36207613
Publikováno v:
Applied Numerical Mathematics. 145:159-174
In this paper, we study the first eigenvalue of a nonlinear elliptic system involving p-Laplacian as the differential operator. The principal eigenvalue of the system and the corresponding eigenfunction are investigated both analytically and numerica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::24860291f837ab00b2ca0c5277b58b1a
https://doi.org/10.1016/j.apnum.2019.06.004
https://doi.org/10.1016/j.apnum.2019.06.004
Autor:
Chiu-Yen Kao, Seyyed Abbas Mohammadi
Publikováno v:
Journal of Scientific Computing. 86
In this paper, we study both minimization and maximization problems corresponding to a Poisson’s equation with Robin boundary conditions. These rearrangement shape optimization problems arise in many applications including the design of mechanical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6504fff0ed8ae4e3f1d27c32998ce3b2
https://doi.org/10.1007/s10915-021-01413-2
https://doi.org/10.1007/s10915-021-01413-2
Publikováno v:
Journal of Scientific Computing. 86
In this paper, we study a rearrangement method for solving a maximization problem associated with Poisson’s equation with Dirichlet boundary conditions. The maximization problem is to find the forcing within a certain admissible set as to maximize
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::219fc86d7194315fa253b0e4c6a42e70
https://doi.org/10.1007/s10915-020-01389-5
https://doi.org/10.1007/s10915-020-01389-5
Autor:
Chiu-Yen Kao, Seyyed Abbas Mohammadi
Publikováno v:
ESAIM: Control, Optimisation and Calculus of Variations. 28:11
In this paper a rearrangement minimization problem corresponding to solutions of thep-Laplacian equation is considered. The solution of the minimization problem determines the optimal way of exerting external forces on a membrane in order to have a m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ada55547fb68cb7dc267171c9c355392
https://doi.org/10.1051/cocv/2022004
https://doi.org/10.1051/cocv/2022004
Publikováno v:
Journal of Scientific Computing. 78:1231-1249
In this paper, a shape optimization problem corresponding to the p-Laplacian operator is studied. Given a density function in a rearrangement class generated by a step function, find the density such that the principal eigenvalue is as small as possi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::189dfa13b0538b1fe424b2e45d4593c4
https://doi.org/10.1007/s10915-018-0806-7
https://doi.org/10.1007/s10915-018-0806-7
Publikováno v:
Applications of Mathematics. 63:125-147
This paper deals with a reaction-diffusion system modeling a free boundary problem of the predator-prey type with prey-taxis over a one-dimensional habitat. The free boundary represents the spreading front of the predator species. The global existenc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d9c84da32e233439979c59a82ce54e4f
https://doi.org/10.21136/am.2018.0227-17
https://doi.org/10.21136/am.2018.0227-17
Autor:
Seyyed Abbas Mohammadi, Heinrich Voss
Publikováno v:
Mathematics and Mechanics of Solids. 23:1377-1388
This paper proposes a new approach for computing the real eigenvalues of a multiple-degrees-of-freedom viscoelastic system in which we assume an exponentially decaying damping. The free-motion equations lead to a nonlinear eigenvalue problem. If the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d2a067af9e4c98df1e800802ccdbf68e
https://doi.org/10.1177/1081286517726368
https://doi.org/10.1177/1081286517726368