Regularity and Sensitivity for McKean-Vlasov Type SPDEs Generated by Stable-like Processes [PDF]
, 2018 In this paper we study the sensitivity of nonlinear stochastic differential equations of McKean-Vlasov type generated by stable-like processes. By using the method of stochastic characteristics, we transfer these equations to the non-stochastic equations
Kolokoltsov, Vassili, Troeva, Marianna
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Eliminating flutter for clamped von Karman plates immersed in subsonic flows [PDF]
, 2014 We address the long-time behavior of a non-rotational von Karman plate in an inviscid potential flow. The model arises in aeroelasticity and models the interaction between a thin, nonlinear panel and a flow of gas in which it is immersed [6, 21, 23 ...
Lasiecka, Irena, Webster, Justin T.
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Parameter identification in a semilinear hyperbolic system [PDF]
, 2016 We consider the identification of a nonlinear friction law in a one-dimensional damped wave equation from additional boundary measurements. Well-posedness of the governing semilinear hyperbolic system is established via semigroup theory and contraction ...
Cheng J +14 more
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Numerical approximation of poroelasticity with random coefficients using Polynomial Chaos and Hybrid High-Order methods [PDF]
, 2019 In this work, we consider the Biot problem with uncertain poroelastic coefficients. The uncertainty is modelled using a finite set of parameters with prescribed probability distribution.
Botti, Michele +3 more
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Do Finite-Size Lyapunov Exponents Detect Coherent Structures? [PDF]
, 2013 Ridges of the Finite-Size Lyapunov Exponent (FSLE) field have been used as indicators of hyperbolic Lagrangian Coherent Structures (LCSs). A rigorous mathematical link between the FSLE and LCSs, however, has been missing. Here we prove that an FSLE ridge
Haller, George, Karrasch, Daniel
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Loss of Physical Reversibility in Reversible Systems
, 2020 A dynamical system is said to be reversible if, given an output, the input can always be recovered in a well-posed manner. Nevertheless, we argue that reversible systems that have a time-reversal symmetry, such as the Nonlinear Schr{\"o}dinger equation ...
Ditkowski, Adi +3 more
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Stability and Optimization in Structured Population Models on Graphs [PDF]
, 2014 We prove existence and uniqueness of solutions, continuous dependence from the initial datum and stability with respect to the boundary condition in a class of initial--boundary value problems for systems of balance laws.
Colombo, Rinaldo M., Garavello, Mauro
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Convex Optimization In Identification Of Stable Non-Linear State Space Models [PDF]
, 2010 A new framework for nonlinear system identification is presented in terms of optimal fitting of stable nonlinear state space equations to input/output/state data, with a performance objective defined as a measure of robustness of the simulation error ...
Manchester, Ian R. +4 more
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Polynomial solutions to H∞ problems [PDF]
, 1994 The paper presents a polynomial solution to the standard H∞-optimal control problem. Based on two polynomial J-spectral factorization problems, a parameterization of all suboptimal compensators is obtained.
Ball +33 more
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The singular perturbation of surface tension in Hele-Shaw flows [PDF]
, 2000 Morphological instabilities are common to pattern formation problems such as the non-equilibrium growth of crystals and directional solidification. Very small perturbations caused by noise originate convoluted interfacial patterns when surface tension is
Ceniceros, Hector D., Hou, Thomas Y.
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