74,896 research outputs found
Burgess-like subconvex bounds for
We give a Burgess-like subconvex bound for in terms
of the analytical conductor of , where is a cuspidal
representation and is a Hecke character.Comment: to appear in Geometric and Functional Analysi
Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry
We study the well-posedness of a coupled Cahn-Hilliard-Stokes-Darcy system
which is a diffuse-interface model for essentially immiscible two phase
incompressible flows with matched density in a karstic geometry. Existence of
finite energy weak solution that is global in time is established in both 2D
and 3D. Weak-strong uniqueness property of the weak solutions is provided as
well
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