Notes on Strong Localized Peterturbation Theory
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Green's functions Click here
Review of Legendre Polynomials Click here Two Worked Problems in 2-D Click here
Further Notes on Applications of Strong
Localized Perturbation Theory: Ostwald Ripening
Click here Biharmonic Equation
Click here Low Reynolds Number Flow
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Notes on Basic Singular Perturbations For
Elliptic, Parabolic, Hyperbolic PDE
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Notes on Boundary Fitted Coordinates and Derivation of Mullins-Sekerka Flow from Cahn-Hilliard
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Notes on Motion by Curvature
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Notes on Pattern Formation: Time-Dependent Transition
Layers
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Basic Notes on Pattern Formation: Turing Stability Analysis
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Notes on Pattern Formation: Case Study of
Brusselator
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Notes on Pattern Formation: Localized
Pulse Solutions
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Condensed Notes on Pulse Solutions for an RD
System
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Notes on Homogenization Theory
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Some More Notes on Homogenization Theory
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Notes on Singularities in PDE: Edge Singularities
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Notes on Singularities in PDE: Blow-Up Behavior
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Notes on WKB For PDE's
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