most citedEstimate for a solution to the water wave problem in the presence of a submerged body

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math.AP2025

Quantitative homogenisation for differential equations with highly anisotropic partially degenerating coefficients

Shane Cooper, Ilia Kamotski

We consider a non-uniformly elliptic second-order differential operator with periodic coefficients that models composite media consisting of highly anisotropic cylindrical fibres p…

math.AP2013★ 2 cited

Estimate for a solution to the water wave problem in the presence of a submerged body

Ilia Kamotski, Vladimir Maz'ya

We study the two-dimensional problem of propagation of linear water waves in deep water in the presence of a submerged body. Under some geometrical requirements, we derive an expli…