Displaying similar documents to “Asymmetric heteroclinic double layers”

Higher-order phase transitions with line-tension effect

Bernardo Galvão-Sousa (2011)

ESAIM: Control, Optimisation and Calculus of Variations

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The behavior of energy minimizers at the boundary of the domain is of great importance in the Van de Waals-Cahn-Hilliard theory for fluid-fluid phase transitions, since it describes the effect of the container walls on the configuration of the liquid. This problem, also known as the liquid-drop problem, was studied by Modica in [Ann. Inst. Henri Poincaré, Anal. non linéaire 4 (1987) 487–512], and in a different form by...

Some problems in automata theory which depend on the models of set theory

Olivier Finkel (2012)

RAIRO - Theoretical Informatics and Applications

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We prove that some fairly basic questions on automata reading infinite words depend on the models of the axiomatic system ZFC. It is known that there are only three possibilities for the cardinality of the complement of an ω-language L ( 𝒜 ) accepted by a Büchi 1-counter automaton 𝒜 . We prove the following surprising result: there exists a 1-counter Büchi automaton 𝒜 such that the cardinality of the complement L ( 𝒜 ) - of the ω-language...

Uniqueness of invariant product measures for elliptic infinite dimensional diffusions and particle spin systems

Alejandro F. Ramírez (2010)

ESAIM: Probability and Statistics

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Consider an infinite dimensional diffusion process process on , where is the circle, defined by the action of its generator on ) local functions as L f ( η ) = i 𝐙 d 1 2 a i 2 f η i 2 + b i f η i . Assume that the coefficients, and are smooth, bounded, finite range with uniformly bounded second order partial derivatives, that is only a function of η i and that inf i , η a i ( η ) > 0 . Suppose is an invariant product measure. Then, if is the Lebesgue measure or if ,...