Zobrazeno 1 - 10
of 534
pro vyhledávání: '"Alexander G. Ramm"'
Autor:
Alexander G. Ramm
Publikováno v:
AIMS Mathematics, Vol 7, Iss 10, Pp 19287-19291 (2022)
Let $ D $ be a bounded domain in $ {{\mathbb R}}^3 $ with a closed, smooth, connected boundary $ S $, $ N $ be the outer unit normal to $ S $, $ k > 0 $ be a constant, $ u_{N^{\pm}} $ are the limiting values of the normal derivative of $ u $ on $ S $
Externí odkaz:
https://doaj.org/article/ab1c9764bf294951a643ac4e2acaec65
Autor:
Nguyen S. Hoang, Alexander G. Ramm
Publikováno v:
Contributions to Mathematics, Vol 3, Pp 1-10 (2021)
Externí odkaz:
https://doaj.org/article/c7b1398d423a459a95df9d7d91795cba
Autor:
Alexander G. Ramm
Publikováno v:
Contributions to Mathematics, Vol 2, Pp 47-54 (2020)
Externí odkaz:
https://doaj.org/article/ac1cc42d674d4311a59663607b6f24bd
Autor:
Alexander G. Ramm
Publikováno v:
Axioms, Vol 11, Iss 8, p 371 (2022)
Let D be a connected bounded domain in R2, S be its boundary, which is closed and C2-smooth. Consider the Dirichlet problem Δu=0inD,u|S=h, where h∈L1(S). The aim of this paper is to prove that the above problem has a solution for an arbitrary h∈
Externí odkaz:
https://doaj.org/article/9ca59a2704dd4cffac8c2d11c8570b31
Autor:
Alexander G. Ramm
Publikováno v:
Symmetry, Vol 13, Iss 12, p 2240 (2021)
The results of this paper allow one to derive several results of general interest: to prove the Schiffer’s conjecture, to solve the Pompeiu problem, to prove two symmetry results in harmonic analysis and to give a new method for solving an old symm
Externí odkaz:
https://doaj.org/article/c46bc1cb85044493b3563cd26ae5f182
Autor:
Alexander G. Ramm
Publikováno v:
Axioms, Vol 10, Iss 2, p 95 (2021)
The aim of this paper is to explain for broad audience the author’s result concerning the Navier–Stokes problem (NSP) in R3 without boundaries. It is proved that the NSP is contradictory in the following sense: if one assumes that the initial dat
Externí odkaz:
https://doaj.org/article/73b30ed8a1b248eea17e5833e5e2ce14
Autor:
Alexander G. Ramm
Publikováno v:
Challenges, Vol 5, Iss 1, Pp 35-42 (2014)
The proposal deals with electromagnetic (EM) wave scattering by one and many small impedance particles of an arbitrary shape. Analytic formula is derived for EM wave scattering by one small impedance particle of an arbitrary shape and an integral equ
Externí odkaz:
https://doaj.org/article/a539a3cd0f04424296241a045b7ee200
Autor:
Alexander G. Ramm
Publikováno v:
Mathematics, Vol 1, Iss 3, Pp 89-99 (2013)
Electromagnetic wave scattering by many parallel to the z−axis, thin, impedance, parallel, infinite cylinders is studied asymptotically as a → 0. Let Dm be the cross-section of the m−th cylinder, a be its radius and xˆm = (xm1, xm2) be its cen
Externí odkaz:
https://doaj.org/article/3396a11a2b0f4194999850fe6dc27271
Autor:
Alexander G. Ramm
Publikováno v:
Mathematics, Vol 1, Iss 2, Pp 46-64 (2013)
Large time behavior of solutions to abstract differential equations is studied. The results give sufficient condition for the global existence of a solution to an abstract dynamical system (evolution problem), for this solution to be bounded, and for
Externí odkaz:
https://doaj.org/article/9449b5bd256143a9bf0600854ddc218d
Autor:
Alexander G. Ramm
Publikováno v:
AIP Advances, Vol 1, Iss 2, Pp 022135-022135-13 (2011)
Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogeneous medium. The limiting case is considered, when the size a of small
Externí odkaz:
https://doaj.org/article/8f00d23203694c0593b45e88cd5c2959