On a theory of phase transitions with interfacial energy

Keywords

Complex system, Phase transition, Phase (matter), Physics, Statistical physics

References

• The equilibrium configuration of liquid drops.Enrico Giusti — 1981
• The thermodynamic theory of capillarity under the hypothesis of a continuous variation of densityJ. D. van der Waals — 1979
• Free Energy of a Nonuniform System. I. Interfacial Free EnergyJohn W. Cahn, J. E. Hilliard — 1958
• Structured phase transitions on a finite intervalJack Carr, Morton E. Gurtin, Marshall Slemrod — 1984
• Integral Inequalities of Poincare and Wirtinger Type for BV FunctionsNorman G. Meyers, William P. Ziemer — 1977

Cited by

• On a Model of Nonlocal Continuum Mechanics Part II: Structure, Asymptotics, and ComputationsRoger Fosdick, D.E. Mason — 1997
• Variational problems of least area type with constraintsItalo Tamanini — 1988
• Perturbed area functionals and brittle damage mechanicsMarius Buliga — 2005
• Lagrange multipliers and variational methods for equilibrium problems of fluidsElisabetta Barozzi, M. Emmer, Eduardo H. A. Gonzalez — 1991
• Propagating phase boundaries: formulation of the problem and existence via the Glimm schemePhilippe G. LeFloch — 2007
• Gamma-convergence and its Applications to Some Problems in the Calculus of VariationsGiuseppe Buttazzo — 2004
• Second-Order Γ-limit for the Cahn–Hilliard FunctionalGiovanni Leoni, Ryan Murray — 2015
• Density Estimates for a Nonlocal Variational Model via the Sobolev InequalityOvidiu Savin, Enrico Valdinoci — 2011
• An adaptive finite element procedure for the image segmentation problemFiana S. Yaacobson, Dan Givoli — 1998
• Plane-Like Minimizers In Periodic Media: Jet Flows And Ginzburg-LandauEnrico Valdinoci — 2004
• SOME REMARKS ON THE STABILITY OF SIGN CHANGING SOLUTIONSE. N. Dancer, Zong Ming Guo — 1995
• A mass transportation approach to quantitative isoperimetric inequalitiesAlessio Figalli, Francesco Maggi, Aldo Pratelli — 2010
• Hyperbolic Systems of Conservation Laws: The Theory of Classical and Nonclassical Shock WavesPG LeFloch, Jaroslav Novotný — 2002
• The Wulff theorem revisitedIrene Fonseca — 1991
• Periodic phase separation: the periodic Cahn-Hilliard and isoperimetric problemsRustum Choksi, Peter Sternberg — 2006
• Dynamical Stability of Phase Transitions in the p-System with Viscosity-CapillarityKevin Zumbrun — 2000
• Singular perturbations for phase transitionsMargarida Baı́a, Ana Cristina Barroso, José Matías — 2012
• Density Estimates for a Degenerate/Singular Phase-Transition ModelArshak Petrosyan, Enrico Valdinoci — 2005
• Interfacial energy and the Maxwell ruleIrene Fonseca — 1989
• A Sharp Stability Result for the Relative Isoperimetric Inequality Inside Convex ConesAlessio Figalli, Emanuel Indrei — 2012

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