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We study the coarsening of two-dimensional oblique stripe patterns bynumerically solving potential and nonpotential anisotropic Swift-Hohenbergequations. Close to onset, all models exhibit isotropic coarsening with asingle characteristic length scale growing in time as $t^{1/2}$. Further fromonset, the characteristic lengths along the preferred directions $\hat{x}$ and$\hat{y}$ grow with different exponents, close to 1/3 and 1/2, respectively. Inthis regime, one-dimensional dynamical scaling relations hold. We draw ananalogy between this problem and Model A in a stationary, modulated externalfield. For deep quenches, nonpotential effects produce a complicateddislocation dynamics that can lead to either arrested or faster-than-power-lawgrowth, depending on the model considered. In the arrested case, small isolateddomains shrink down to a finite size and fail to disappear. A comparison withavailable experimental results of electroconvection in nematics is presented.

Coarsening in potential and nonpotential models of oblique stripe patterns