Mathematical Methods in the Applied Sciences · 1986 · 33 citations · 17 references
Natural SciencesMathematicsPhysicsFluid DynamicsFluid MechanicsMathematical PhysicsBoundary ConditionsBoundary-value ProblemsNavier-stokes EquationsPartial Differential EquationsPotential FlowExterior Boundary Value ProblemsNeumann ProblemsSobolev SpacesStokes EquationsThree-dimensional Potential FlowWeak SolutionsWhitehead ProblemWhitehead Theorem
Abstract We study the exterior Dirichlet and Neumann problem for the 3‐dimensional Stokes equations. By the use of the theory of hydrodynamical potentials, the decay at infinity can be completely characterized in the framework of weighted Sobolev spaces. The results are applied to the theory of weak solutions and to the Whitehead paradox.
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Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1959 · 3.8K citations
Natural Sciences, Mechanical Engineering, Differential Equations +10
Perturbation Methods in Fluid Mechanics
Nature · 1965 · 3.5K citations
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Introduction to Potential Theory.
P. S. Bullen, L. L. Helms · American Mathematical Monthly · 1971 · 649 citations