Journal of Siberian Federal University. Mathematics & Physics: On the Fredholm property for the steady Navier-Stokes equations in weighted H¨older spaces

Journal of Siberian Federal University. Mathematics & Physics / On the Fredholm property for the steady Navier-Stokes equations in weighted H¨older spaces

Issue: Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (5)
Authors: Parfenov, Andrei A.; Shlapunov, Alexander A.
Contact information: Parfenov, Andrei A.: Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny 79, Krasnoyarsk, 660041 Russia; Shlapunov, Alexander A.: Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny 79, Krasnoyarsk, 660041 Russia;
Keywords: steady Navier-Stokes Equations; non-linear Fredholm operators; weighted H¨older spaces
Abstract: We prove that the steady Navier-Stokes equations induce a Fredholm non-linear map on the scale of H¨older spaces weighted at the infinity
Pages: 659–662
Paper at repository of SibFU: https://elib.sfu-kras.ru/handle/2311/72290