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math.AP2016★ 9 cited
A partial differential equation for the rank one convex envelope
Adam M. Oberman, Yuanlong Ruan
In this article we introduce a Partial Differential Equation (PDE) for the rank one convex envelope. Rank one convex envelopes arise in non-convex vector valued variational problem…
math-ph2016
Nontrivial Periodic Minimizer for Landau-Brazovskii Model with Constraint
Yuanlong Ruan
Block copolymer, a synthesized polymer material, has found many applications in industry. It is consisting of multiple sequences of monomer alternating in series with different mon…