Existence and Uniqueness for a Class of Nonlinear Higher-Order Partial Differential Equations in the Complex Plane
By O. Costin, Saleh Tanveer. 2000
48 citations recorded by the source corpus.
We prove existence and uniqueness results for nonlinear third-order partial differential equations of the form
Subfields: Computational Mechanics, Condensed Matter Physics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/1d67af817386dd60944e93f9086d59d706eedcfe
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In Computational Mechanics
In Condensed Matter Physics
In Mathematical Physics
Citations in the corpus
- Surprises in viscous fingering (2000, background): “Actually, when t = O(B2/7), the existence and uniqueness of analytic solutions to (92) for Arg [i(ξ0(t)−ξ)] ∈ (−4π/9, 4π/9) with the asymptotic matching condition G(ξ, t) ∼ G0(ξ, t) for B−2/7(ξ − ξ0(t)) 1 has been proved (see Example 2, Costin & Tanveer 1999).”