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For the one-dimensional linear kinetic equations with collisional frequencyof the molecules, proportional to the module velocity of molecules, analyticalsolutions of problems about temperature jump and weak evaporation(condensation) in rarefied gas are received. Quantities of temperature andconcentration jumps are found. Distributions of concentration, mass velocityand temperature are constructed. Necessary numerical calculations and graphicresearches are done.

Boundary problems for the one-dimensional kinetic equation with the collisional frequence proportional to the module velocity of molecules