We study effects of winds on the time evolution of isothermal,self-gravitating accretion discs by adopting a radius dependent mass loss ratebecause of the existence of the wind. Our similarity and semi-analyticalsolution describes time evolution of the system in the slow accretion limit.The disc structure is distinct in the inner and outer parts, irrespective ofthe existence of the wind. We show that existence of wind will lead to areduction of the surface density in the inner and outer parts of the disc incomparison to a no-wind solution. Also, the radial velocity significantlyincreases in the outer part of the disc, however, the accretion rate decreasesdue to the reduced surface density in comparison to the no-wind solution. Inthe inner part of the disc, mass loss due to the wind is negligible accordingto our solution. But the radial size of this no-wind inner region becomessmaller for stronger winds.
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