Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Simon, John Sebastian H."'
A shape optimization problem subject to an elliptic equation in the presence of missing data on the Dirichlet boundary condition is considered. It is formulated by optimizing the deformation field that varies the spatial domain where the Poisson equa
Externí odkaz:
http://arxiv.org/abs/2412.06479
This paper investigates solution stability properties of unregularized tracking-type optimal control problems constrained by the Boussinesq system. In our model, the controls may appear linearly and distributed in both of the equations that constitut
Externí odkaz:
http://arxiv.org/abs/2402.06873
We consider the Cauchy problem for a damped Euler-Maxwell system with no ionic background. For smooth enough data satisfying suitable so-called dispersive conditions, we establish the global in time existence and uniqueness of a strong solution that
Externí odkaz:
http://arxiv.org/abs/2402.00669
We study a system describing the dynamics of a two-phase flow of incompressible viscous fluids influenced by the convective heat transfer of Caginalp-type. The separation of the fluids is expressed by the order parameter which is of diffuse interface
Externí odkaz:
http://arxiv.org/abs/2308.05608
This paper focuses on the stability of solutions for a velocity-tracking problem associated with the two-dimensional Navier-Stokes equations. The considered optimal control problem does not possess any regularizer in the cost, and hence bang-bang sol
Externí odkaz:
http://arxiv.org/abs/2307.07283
Due to computational complexity, fluid flow problems are mostly defined on a bounded domain. Hence, capturing fluid outflow calls for imposing an appropriate condition on the boundary where the said outflow is prescribed. Usually, the Neumann-type bo
Externí odkaz:
http://arxiv.org/abs/2109.10025
Autor:
Simon, John Sebastian H.
We investigate the behavior of dynamic shape design problems for fluid flow at large time horizon. In particular, we shall compare the shape solutions of a dynamic shape optimization problem with that of a stationary problem and show that the solutio
Externí odkaz:
http://arxiv.org/abs/2109.09253
In this study, a shape optimization problem for the two-dimensional stationary Navier--Stokes equations with an artificial boundary condition is considered. The fluid is assumed to be flowing through a rectangular channel, and the artificial boundary
Externí odkaz:
http://arxiv.org/abs/2108.03925
We study an optimization problem that aims to determine the shape of an obstacle that is submerged in a fluid governed by the Stokes equations. The mentioned flow takes place in a channel, which motivated the imposition of a Poiseuille-like input fun
Externí odkaz:
http://arxiv.org/abs/2104.09741
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