Existence of finite-time splash singularity for a collapsing bubble in Navier-Stokes free boundary problem with surface tension, via δ-wing domain construction.
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Global strong pathwise well-posedness established for stochastically forced 2D incompressible Navier-Stokes coupled to 1D damped Kirchhoff plate via velocity continuity and stress balance on fixed interface.
Proves quantitative Einstein relation with explicit quenched algebraic rate for reversible diffusions in random environments.
New global and local pointwise error estimates for finite element approximations to the Stokes problem in maximum norms on quasi-uniform meshes in 2D and 3D.
Derives relative energy inequality for compressible fluid around rotating body to prove weak-strong uniqueness and low Mach limit to incompressible rotating flow.
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Global and local pointwise error estimates for finite element approximations to the Stokes problem on convex polyhedra
New global and local pointwise error estimates for finite element approximations to the Stokes problem in maximum norms on quasi-uniform meshes in 2D and 3D.