On distinguished representative domains
Stefan Bergman (1977)
Annales Polonici Mathematici
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Stefan Bergman (1977)
Annales Polonici Mathematici
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Väisälä, Jussi (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Roberto Peirone (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We state that in opportune tubular domains any two points are connected by a bounce trajectory and that there exist non-trivial periodic bounce trajectories.
Roberto Peirone (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We state that in opportune tubular domains any two points are connected by a bounce trajectory and that there exist non-trivial periodic bounce trajectories.
Armen Edigarian (2004)
Annales Polonici Mathematici
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We show that the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂):|λ₁|,|λ₂| < 1} ⊂ ℂ² cannot be exhausted by domains biholomorphic to convex domains.
Young-Sam Kwon (2020)
Applications of Mathematics
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In this paper we study the incompressible inviscid limit of the full magnetohydrodynamic flows on expanding domains with general initial data. By applying the relative energy method and carrying out detailed analysis on the oscillation part of the velocity, we prove rigorously that the gradient part of the weak solutions of the full magnetohydrodynamic flows converges to the strong solution of the incompressible Euler system in the whole space, as the Mach number, viscosity as well as...
Nikolai Nikolov (2006)
Annales Polonici Mathematici
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We prove that the symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains.
Armen Edigarian (2015)
Annales Polonici Mathematici
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We give a necessary and sufficient condition for the existence of a weak peak function by using Jensen type measures. We also show the existence of a weak peak function for a class of Reinhardt domains.
Ahmed Ayache, Hanen Monceur (2011)
Colloquium Mathematicae
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We investigate the elasticity of atomic domains of the form ℜ = A + XB[X], where X is an indeterminate, A is a local domain that is not a field, and A ⊂ B is a minimal extension of integral domains. We provide the exact value of the elasticity of ℜ in all cases depending the position of the maximal ideals of B. Then we investigate when such domains are half-factorial domains.
Alain Bouvier (1980)
Publications du Département de mathématiques (Lyon)
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McCarthy, John, Papadopoulos, Athanase (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Edgar Lee Stout (2009)
Annales Polonici Mathematici
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We construct some envelopes of holomorphy that are not equivalent to domains in ℂⁿ.
Meerschaert, M.M., Scheffler, H.-P. (1996)
Journal of Applied Analysis
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Chichua, G. (1999)
Bulletin of TICMI
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Karol Borsuk (1972)
Colloquium Mathematicae
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Peter Pflug, Włodzimierz Zwonek (1998)
Annales Polonici Mathematici
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We find effective formulas for the invariant functions, appearing in the theory of several complex variables, of the elementary Reinhardt domains. This gives us the first example of a large family of domains for which the functions are calculated explicitly.
V. Barucci, D.E. Dobbs, M. Fontana (1986)
Manuscripta mathematica
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Iñigo Arregui, J. Jesús Cendán, Carlos Vázquez (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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The aim of this work is to deduce the existence of solution of a coupled problem arising in elastohydrodynamic lubrication. The lubricant pressure and concentration are modelled by Reynolds equation, jointly with the free-boundary Elrod-Adams model in order to take into account cavitation phenomena. The bearing deformation is solution of Koiter model for thin shells. The existence of solution to the variational problem presents some difficulties: the coupled character of the equations,...
Nan Wu, Zu Xing Xuan (2014)
Annales Polonici Mathematici
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We investigate the uniqueness of transcendental algebroid functions with shared values in some angular domains instead of the whole complex plane ℂ. We obtain two theorems which are counterparts of results for meromorphic functions obtained by Zheng.
Magdalena Gregorczyk, Leopold Koczan (2017)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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In this article we take over methods for determination of Koebe set based on extremal sets for a given class of functions.
Piermarco Cannarsa, Giuseppe Da Prato, Jean-Paul Zolésio (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We develolp a new method to solve an evolution equation in a non-cylindrical domain, by reduction to an abstract evolution equation..
Roman Cherniha, Joanna Stachowska-Piętka, Jacek Waniewski (2014)
International Journal of Applied Mathematics and Computer Science
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A mathematical model for fluid and solute transport in peritoneal dialysis is constructed. The model is based on a threecomponent nonlinear system of two-dimensional partial differential equations for fluid, glucose and albumin transport with the relevant boundary and initial conditions. Our aim is to model ultrafiltration of water combined with inflow of glucose to the tissue and removal of albumin from the body during dialysis, by finding the spatial distributions of glucose and albumin...
Mariarosaria Padula (1990)
Mathematische Zeitschrift
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