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We investigate the shape of the Rotation Curves (RCs) of $z\sim 1$star-forming galaxies and compare them with the local star-forming galaxies.For this purpose, we have used $409$ galaxies from the K-band Multi-ObjectSpectrograph (KMOS) for Redshift One Spectroscopic Survey (KROSS). This samplecovers the redshift range $0.57\leq z \leq 1.04$, effective radii $0.69 \leqR_e \left[kpc \right] \leq 7.73$, absolute H-band magnitude $-24.46 \leq M_H\leq -18.85$ with median stellar mass $log\left(M_* \ \left[M_\odot\right]\right)=9.95$ and median total star-formation rate $log\left(SFR_{tot} \\left[M_\odot \ yr^{-1} \right]\right)=1.49$. Using $^{3D}$BAROLO (Barolo), weextract $H\alpha$ kinematic maps and corresponding Rotation Curves (RCs). Themain advantage of Barolo is that it incorporates the beam smearing in the 3Dobservational space, which provide us with the intrinsic rotation velocity evenin the low spatial resolution data. Using Asymmetric Drift Correction (ADC), wehave corrected the RCs for the pressure gradient effect, which seems to be amore dominant effect than beam smearing in high-z galaxies. Nearly all objects($0.1 <v/ \sigma< 15$) are affected by the pressure gradient, and we noticedthat ADC improves the rotation velocity of these systems by $\sim 10-87\%$.Only a combination of the three techniques (3D-kinematic modelling +3D-Beamsmearing correction + ADC ) yields the intrinsic RC of an individualgalaxy. Further, we present the co-added RCs constructed out of 237high-quality objects to obtain intrinsic RC shapes out to 6.4 $\times$ diskscale length. We do not see any change in the shape of RCs with respect to thelocal star-forming disk-type galaxies. In contrast, we do find a significantevolution in the stellar-disk length ($R_D$) of the galaxies. Therefore, weconclude stellar disk evolves over cosmic time while total mass distributionstays constant.

Flat Rotation Curves of $z\sim 1$ Star-Forming Galaxies and Evidence of Disk-Scale Length Evolution