Results 41 to 50 of about 193,737 (236)
Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
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Dependence Modeling, 2019 We study the dynamics of the family of copulas {Ct}t≥0 of a pair of stochastic processes given by stochastic differential equations (SDE). We associate to it a parabolic partial differential equation (PDE). Having embedded the set of bivariate copulas in
Jaworski Piotr
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Stability of strongly continuous representations of abelian semigroups
Mathematische Zeitschrift, 1992 We study the spectrum Sp(T) of a bounded, strongly continuous, representation T of a suitable Abelian semigroup S on a Banach space X. In particular, we consider the case when the unitary part of Sp(T) is countable (or scattered) and the unitary part of the point spectrum of \(T^*\) is empty.
Batty, Charles J.K., Phóng, Vu Quoc
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li +5 more
wiley +1 more source
On mild solutions to fractional differential equations with nonlocal conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2011 We prove new existence results of mild solutions to fractional differential equations with nonlocal conditions in Banach spaces. The nonlocal item is only assumed to be continuous. This generalizes some recent results in this area.
Lizhen Chen, Zhenbin Fan
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, 1993 We show that (in the unbounded case) the wave operator, or more generally, a wave operator with damping strictly less than the basic operator does not generate a strongly continuous semigroup on the product space H x H, contrary to a common ...
A. Balakrishnan, R. Triggiani
semanticscholar +2 more sources
𝐶²-preserving strongly continuous Markovian semigroups [PDF]
Transactions of the American Mathematical Society, 1973 Let X X be a compact
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Measure‐valued processes for energy markets
Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
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Ural Mathematical Journal, 2017 Let \(A\) be the infinitesimal generator of a strongly continuous contraction semigroup in a Hilbert space \(H\). We give an upper estimate for the best approximation of the operator \(A\) by bounded linear operators with a prescribed norm in the ...
Elena E. Berdysheva, Maria A. Filatova
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