Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Martinez, Vincent R."'
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
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
We consider 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. Our main study is the long time s
Externí odkaz:
http://arxiv.org/abs/2212.05646