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Minimal measures beyond Mather
For a positive definite Lagrangian, the minimal measure was defined in terms of first homology or cohomology class. For a configuration manifold that...
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Uniqueness of weak solutions of the Plateau flow
In this paper, we study the uniqueness of weak solutions of the heat flow of half-harmonic maps, which was first introduced by Wettstein as a...
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Non-intrusive polynomial chaos expansion for robust topology optimization of truss-like continuum under random loads
This paper dedicates to presenting an uncertainty analysis framework for robust topology optimization (RTO) based on truss-like material model that...
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Regularity for quasi-minima of the Alt–Caffarelli functional
We investigate regularity estimates of quasi-minima of the Alt–Caffarelli energy functional. We prove universal Hölder continuity of quasi-minima and...
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The compressible Euler system with nonlocal pressure: global existence and relaxation
We here investigate a modification of the compressible barotropic Euler system with friction, involving a fuzzy nonlocal pressure term in place of...
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Port-Hamiltonian descriptor systems are relative generically controllable and stabilizable
The present work is a successor of Ilchmann and Kirchhoff (Math Control Signals Syst 33:359–377, 2021) on generic controllability and of Ilchmann and...
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Multiplicity results for constant Q-curvature conformal metrics
In this paper we provide a positive lower bound for the number of metrics of constant Q -curvature which are conformal to a Riemannian product of the...
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An obstacle problem for the p-elastic energy
In this paper we consider an obstacle problem for a generalization of the p -elastic energy among graphical curves with fixed ends. Taking into...
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On the controllability of a system coupling Kuramoto–Sivashinsky–Korteweg–de Vries and transport equations
In this paper, we study the null controllability of a coupled parabolic–hyperbolic system in one dimension with a single control using the moment...
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The Chain Control Set of Discrete-Time Linear Systems on the Affine Two-Dimensional Lie Group
In this paper, we present conditions for the existence and uniqueness of chain control sets of discrete-time linear systems on the affine...
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Boundary Value and Control Problems for the Stationary Heat Transfer Model with Variable Coefficients
A stationary heat transfer model generalizing the Boussinesq approximation is considered. For the corresponding boundary value problem the property...
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Continuous-Time Mean Field Markov Decision Models
We consider a finite number of N statistically equal agents, each moving on a finite set of states according to a continuous-time Markov Decision...
