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- Title
The existence of R$$ \mathcal{R} $$‐bounded solution operator for Navier–Stokes–Korteweg model with slip boundary conditions in half space.
- Authors
Inna, Suma
- Abstract
This paper proves the existence of R$$ \mathcal{R} $$‐bounded solution operator families of the resolvent problem of Navier–Stokes–Korteweg model in half‐space (R+N)$$ \left({\mathbf{R}}_{+}^N\right) $$ with slip boundary condition. Especially we investigate the model for arbitrary constant viscosity and capillarity. We employ the R$$ \mathcal{R} $$‐bounded solution operators of the model obtained from the whole space cases and partial Fourier transform techniques to analyze the model.
- Subjects
CAPILLARITY; FOURIER transforms; ARBITRARY constants; RESOLVENTS (Mathematics); VISCOSITY
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 11, p8581
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.10033