Supersonic flows of the Euler–Poisson system with nonzero vorticities in three‐dimensional cylinders
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We prove the unique existence of three‐dimensional supersonic solutions to the steady Euler–Poisson system in cylindrical nozzles. First, we establish the unique existence of irrotational solutions in a cylindrical nozzle with an arbitrary cross‐section with using weighted Sobolev norms.
Myoungjean Bae, Hyangdong Park
wiley +1 more source
Polyhedral Convexity and the Existence of Approximate Equilibria in Discontinuous Games [PDF]
Radzik (1991) showed that two-player games on compact intervals of the real line have " { equilibria for all " > 0, provided that payo® functions are upper semicontinuous and strongly quasi-concave.
Carmona, Guilherme
core
Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality
Abstract and Applied Analysis, 2014 Under new assumptions, which do not contain any information about the solution set, the upper and lower semicontinuity of the solution mapping to a class of parametric generalized weak Ky Fan inequality are established by using a nonlinear scalarization ...
Y. D. Xu
doaj +1 more source
Attractors and global averaging of non-autonomous reaction-diffusion equations in R^n
, 2002 We consider a family of non-autonomous reaction-diffusion equations with almost periodic, rapidly oscillating principal part and nonlinear interactions.
Antoci, F., Prizzi, M.
core +3 more sources
Upper semicontinuity of the solution map to a parametric boundary\n optimal control problem with unbounded constraint sets [PDF]
, 2020 Son Hai Nguyen, Tuan Anh Dao
openalex +1 more source
Existence and continuity of global attractors for a degenerate semilinear parabolic equation
Electronic Journal of Differential Equations, 2009 In this article, we study the existence and the upper semicontinuity with respect to the nonlinearity and the shape of the domain of global attractors for a semilinear degenerate parabolic equation involving the Grushin operator.
Cung The Anh, Tran Dinh Ke
doaj
Saddle point theorems on generalized convex spaces
Journal of Inequalities and Applications, 2000 A sharpened extension of Komiya's saddle point theorem is obtained for generalized convex spaces. Moreover, we show that convexity of the involved sets in his theorem can be replaced by acyclicity, and continuity of the involved functions by lower and ...
Park Sehie, Kim In-sook
doaj
Advances in Mathematical Physics, 2019 In this paper, the existence of random attractors for nonautonomous stochastic reversible Selkov system with multiplicative noise has been proved through Ornstein-Uhlenbeck transformation.
Chunxiao Guo, Yanfeng Guo, Xiaohan Li
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On the existence of efficient solutions to vector optimization problem of traffic flow on network
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2009 We studied traffic flow models in vector-valued optimization statement where the flow is controlled at the nodes of network. We considered the case when an objective mapping possesses a weakened property of upper semicontinuity and made no assumptions on
T. A. Bozhanova
doaj +1 more source
On Upper Semicontinuous Functions [PDF]
Proceedings of the American Mathematical Society, 1950 Mickle, E. J., Rado, T.
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