Wriggled Lamellar Solutions and Their Stability in the Diblock Copolymer Problem

@article{Ren2005WriggledLS,
  title={Wriggled Lamellar Solutions and Their Stability in the Diblock Copolymer Problem},
  author={Xiaofeng Ren and Juncheng Wei},
  journal={SIAM J. Math. Analysis},
  year={2005},
  volume={37},
  pages={455-489}
}
In a diblock copolymer system the free energy field depends non-locally on the monomer density field. In addition there are two positive parameters in the constitutive relation. One of them is small with respect to which we do singular perturbation analysis. The second one is of order 1 with respect to which we do bifurcation analysis. Combining the two techniques we find wriggled lamellar solutions of the Euler-Lagrange equation of the total free energy under a hypothesis regarding the… CONTINUE READING
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