Navier-Stokes equations
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A graph-based multigrid with applications
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A posteriori error estimates for variational problems in the theory of viscous fluids
Nokka, Marjaana (University of Jyväskylä, 2016)The papers included in the thesis are focused on functional type a posteriori error estimates for the Stokes problem, the Stokes problem with friction type boundary conditions, the Oseen problem, and the anti-plane Bingham ... -
Lineaariset toisen asteen hyperboliset osittaisdifferentiaaliyhtälöt
Kauppinen, Matti (2022)Tässä työssä tutkitaan toisen asteen lineaarisia hyperbolisia osittaisdifferentiaaliyhtälöitä. Toisen asteen lineaariset hyperboliset osittaisdifferentiaaliyhtälöt ovat luonnollinen yleistys aaltoyhtälölle $$u_{tt} + \Delta ... -
Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs
Geiss, Stefan; Ylinen, Juha (American Mathematical Society, 2021)We introduce a decoupling method on the Wiener space to define a wide class of anisotropic Besov spaces. The decoupling method is based on a general distributional approach and not restricted to the Wiener space. The class ... -
Unique Continuation Results for Certain Generalized Ray Transforms of Symmetric Tensor Fields
Agrawal, Divyansh; Krishnan, Venkateswaran P.; Sahoo, Suman Kumar (Springer Science and Business Media LLC, 2022)Let Im denote the Euclidean ray transform acting on compactly supported symmetric m-tensor field distributions f, and I∗m be its formal L2 adjoint. We study a unique continuation result for the operator Nm=I∗mIm. More ...