One-dimensional unsteady motions of a viscous heat-conducting gas with a linear velocity distribution with respect to the coordinate

Global Smooth Solutions of the Equations

Global Smooth Solutions of the Equations of a Viscous, Heat - Conducting, One - Dimensional Gas with Density - Dependent Viscosity

✍ Song Jiang 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 584 KB

We consider initial boundary value problems for the equations of the one-dimensional motion of a viscous, heat -conducting gas with density -dependent viscosity that decreases (to zero) with decreasing density. We prove that if the viscosity does not decrease to zero too rapidly, then smooth solutio