- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2023 16 (3)
- Authors
- Gagelgans, Ksenija V.; Shlapunov, Alexander A.
- Contact information
- Gagelgans, Ksenija V.: Siberian Federal University Krasnoyarsk, Russian Federation; ksenija.sidorova2017@yandex.ru OCRID: 0000-0001-6709-3334; Shlapunov, Alexander A.: Siberian Federal University Krasnoyarsk, Russian Federation; ashlapunov@sfu-kras.ru OCRID: 0000-0001-7270-8751
- Keywords
- Navier-Stokes type equations; de Rham complex; Fredholm operator equations
- Abstract
We consider a family of initial problems for the Navie–Stokes type equations generated by the de Rham complex in Rn [0; T], n > 2, with a positive time T over a scale weighted anisotropic H¨older spaces. As the weights control the order of zero at the infinity with respect to the space variables for vectors fields under the consideration, this actually leads to initial problems over a compact manifold with the singular conic point at the infinity. We prove that each problem from the family induces Fredholm open injective mappings on elements of the scales. At the step 1 of the complex we may apply the results to the classical Navier–Stokes equations for incompressible viscous fluid
- Pages
- 283–299
- EDN
- AQMMZL
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/150089
Journal of Siberian Federal University. Mathematics & Physics / The Fredholm Navier-Stokes Type Equations for the de Rham Complex over Weighted H¨older Spaces
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