Outputs (21)

Some spectral applications of McMullen's Hausdorff dimension algorithm (2012)
Journal Article
Gittins, K., Peyerimhoff, N., Stoiciu, M., & Wirosoetisno, D. (2012). Some spectral applications of McMullen's Hausdorff dimension algorithm. Conformal Geometry and Dynamics, 16, 184-203. https://doi.org/10.1090/s1088-4173-2012-00244-5

Using McMullen's Hausdorff dimension algorithm, we study numerically the dimension of the limit set of groups generated by reflections along three geodesics on the hyperbolic plane. Varying these geodesics, we found four minima in the two-dimensional... Read More about Some spectral applications of McMullen's Hausdorff dimension algorithm.

Long time stability of a classical efficient scheme for two-dimensional Navier-Stokes equations (2012)
Journal Article
Gottlieb, S., Tone, F., Wang, C., Wang, X., & Wirosoetisno, D. (2012). Long time stability of a classical efficient scheme for two-dimensional Navier-Stokes equations. SIAM Journal on Numerical Analysis, 50(1), 126-150. https://doi.org/10.1137/110834901

This paper considers the long-time stability property of a popular semi-implicit scheme for the two-dimensional incompressible Navier–Stokes equations in a periodic box that treats the viscous term implicitly and the nonlinear advection term explicit... Read More about Long time stability of a classical efficient scheme for two-dimensional Navier-Stokes equations.

Navier-Stokes equations on the $\beta$-plane (2011)
Journal Article
Al-Jaboori, M., & Wirosoetisno, D. (2011). Navier-Stokes equations on the $\beta$-plane. Discrete and Continuous Dynamical Systems - Series B, 16(3), 687-701. https://doi.org/10.3934/dcdsb.2011.16.687

Slow manifolds and invariant sets of the primitive equations (2011)
Journal Article
Wirosoetisno, D., & Temam, R. (2011). Slow manifolds and invariant sets of the primitive equations. Journal of the Atmospheric Sciences, 68(3), 675-682. https://doi.org/10.1175/2010jas3650.1

The authors review, in a geophysical setting, several recent mathematical results on the forced–dissipative hydrostatic primitive equations with a linear equation of state in the limit of strong rotation and stratification, starting with existence an... Read More about Slow manifolds and invariant sets of the primitive equations.

Stability of the slow manifold in the primitive equations (2010)
Journal Article
Temam, R., & Wirosoetisno, D. (2010). Stability of the slow manifold in the primitive equations. SIAM Journal on Mathematical Analysis, 42(1), 427-458. https://doi.org/10.1137/080733358

Two-dimensional Euler flows in slowly deforming domains. (2008)
Journal Article
Vanneste, J., & Wirosoetisno, D. (2008). Two-dimensional Euler flows in slowly deforming domains. Physica D: Nonlinear Phenomena, 237(6), 774-799. https://doi.org/10.1016/j.physd.2007.10.017

Exponential approximations for the primitive equations of the ocean (2007)
Journal Article
Temam, R. M., & Wirosoetisno, D. (2007). Exponential approximations for the primitive equations of the ocean. Discrete and Continuous Dynamical Systems - Series B, 7(2), 425-440. https://doi.org/10.3934/dcdsb.2007.7.425

We show that in the limit of small Rossby number \varepsilon, the primitive equations of the ocean (OPEs) can be approximated by "higher-order quasi-geostrophic equations'' up to an exponential accuracy in \varepsilon. This approximation assumes well... Read More about Exponential approximations for the primitive equations of the ocean.

On the long-time stability of the implicit Euler scheme for the two-dimensional Navier-Stokes equations (2006)
Journal Article
Tone, F., & Wirosoetisno, D. (2006). On the long-time stability of the implicit Euler scheme for the two-dimensional Navier-Stokes equations. SIAM Journal on Numerical Analysis, 44(1), 29-40. https://doi.org/10.1137/040618527

In this paper we study the stability for all positive time of the fully implicit Euler scheme for the two-dimensional Navier--Stokes equations. More precisely, we consider the time discretization scheme and with the aid of the discrete Gronwall lemma... Read More about On the long-time stability of the implicit Euler scheme for the two-dimensional Navier-Stokes equations.

Persistence of steady flows of a two-dimensional perfect fluid in deformed domains (2005)
Journal Article
Wirosoetisno, D., & Vanneste, J. (2005). Persistence of steady flows of a two-dimensional perfect fluid in deformed domains. Nonlinearity, 18(6), 2657-2680. https://doi.org/10.1088/0951-7715/18/6/013

The robustness of steady solutions of the Euler equations for two-dimensional, incompressible and inviscid fluids is examined by studying their persistence for small deformations of the fluid-domain boundary. Starting with a given steady flow in a do... Read More about Persistence of steady flows of a two-dimensional perfect fluid in deformed domains.

Sobolev and Gevrey regularity results for the primitive equations in three space dimensions (2005)
Journal Article
Petcu, M., & Wirosoetisno, D. (2005). Sobolev and Gevrey regularity results for the primitive equations in three space dimensions. Applicable Analysis, 84(8), 769-788. https://doi.org/10.1080/00036810500130745

The aim of this article is to present a qualitative study of the Primitive Equations in a three-dimensional domain, with periodical boundary conditions. We start by recalling some already existing results regarding the existence locally in time of we... Read More about Sobolev and Gevrey regularity results for the primitive equations in three space dimensions.