Zobrazeno 1 - 10
of 363
pro vyhledávání: '"Martinez, Vincent"'
We study a class of semi-linear differential Volterra equations with polynomial-type potentials that incorporates the effects of memory while being subjected to random perturbations via an additive Gaussian noise. We show that for a broad class of no
Externí odkaz:
http://arxiv.org/abs/2411.02459
We consider the incompressible Navier-Stokes and Euler equations in a bounded domain with non-characteristic boundary condition, and study the energy dissipation near the outflow boundary in the zero-viscosity limit. We show that in a general setting
Externí odkaz:
http://arxiv.org/abs/2410.13127
This article establishes estimates on the dimension of the global attractor of the two-dimensional rotating Navier-Stokes equation for viscous, incompressible fluids on the $\beta$-plane. Previous results in this setting by M.A.H. Al-Jaboori and D. W
Externí odkaz:
http://arxiv.org/abs/2409.02868
This article studies two particular algorithms, a Relaxation Least Squares (RLS) algorithm and a Relaxation Newton Iteration (RNI) scheme , for reconstructing unknown parameters in dissipative dynamical systems. Both algorithms are based on a continu
Externí odkaz:
http://arxiv.org/abs/2408.14296
This article studies the intimate relationship between two filtering algorithms for continuous data assimilation, the synchronization filter and the nudging filter, in the paradigmatic context of the two-dimensional (2D) Navier-Stokes equations (NSE)
Externí odkaz:
http://arxiv.org/abs/2408.02646
This article studies the interrelation between the determining modes property in the two-dimensional (2D) Navier-Stokes equations (NSE) of incompressible fluids and the synchronization property of two filtering algorithms for continuous data assimila
Externí odkaz:
http://arxiv.org/abs/2408.01064
Autor:
Larios, Adam, Martinez, Vincent R.
In this article, some elementary observations are made regarding the behavior of solutions to the two-dimensional curl-free Burgers equation which suggest the distinguished role played by the scalar divergence field in determining the dynamics of the
Externí odkaz:
http://arxiv.org/abs/2401.04888
Autor:
Kumar, Anuj, Martinez, Vincent R.
This paper considers a family of active scalar equations which modify the generalized surface quasi-geostrophic (gSQG) equations through its constitutive law or dissipative perturbations. These modifications are characteristically mild in the sense t
Externí odkaz:
http://arxiv.org/abs/2309.05844
Publikováno v:
Soft Matter, 2023, DOI: 10.1039/D3SM00593C
Differential dynamic microscopy (DDM) can be used to extract mean particle size from videos of suspensions. However, many suspensions have multimodal particle size distributions (PSDs), for which this is not a sufficient description. After clarifying
Externí odkaz:
http://arxiv.org/abs/2305.11018
Using limited observations of the velocity field of the two-dimensional Navier-Stokes equations, we successfully reconstruct the steady body force that drives the flow. The number of observed data points is less than 10\% of the number of modes that
Externí odkaz:
http://arxiv.org/abs/2302.04701