Existence and Uniqueness of Solutions to the Compressible Reynolds Lubrication Equation
Copyright policy )Existence and Uniqueness of Solutions to the Compressible Reynolds Lubrication Equation
Summary: We prove the existence of a solution to the compressible Reynolds lubrication equation and we show that our solution is unique in the class of nonnegative solutions (under some additional hypotheses, we prove that our solution is unique among all weak solutions). We also prove the strong result that the mapping from the boundary data to the solution is monotonic.
- University of Zurich Switzerland
- University of Minnesota Morris United States
10123 Institute of Mathematics, 510 Mathematics, Nonlinear boundary value problems for linear elliptic equations, nonlinear elliptic boundary value problem, existence, Compressible fluids and gas dynamics, compressible Reynolds lubrication equation, nonnegative solutions
10123 Institute of Mathematics, 510 Mathematics, Nonlinear boundary value problems for linear elliptic equations, nonlinear elliptic boundary value problem, existence, Compressible fluids and gas dynamics, compressible Reynolds lubrication equation, nonnegative solutions
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