Una caratterizzazione variazionale della vorticità
Uniqueness results for operators in the variational sequence
We prove that the most interesting operators in the Euler-Lagrange complex from the variational bicomplex in infinite order jet spaces are determined up to multiplicative constant by the naturality requirement, provided the fibres of fibred manifolds have sufficiently large dimension. This result clarifies several important phenomena of the variational calculus on fibred manifolds.
Variational calculus on Lie algebroids
It is shown that the Lagrange's equations for a Lagrangian system on a Lie algebroid are obtained as the equations for the critical points of the action functional defined on a Banach manifold of curves. The theory of Lagrangian reduction and the relation with the method of Lagrange multipliers are also studied.
Variational principle, conjugate convex functions and “the equivalence of ensembles”
Variational principles and symmetries on fibered multisymplectic manifolds
The standard techniques of variational calculus are geometrically stated in the ambient of fiber bundles endowed with a (pre)multisymplectic structure. Then, for the corresponding variational equations, conserved quantities (or, what is equivalent, conservation laws), symmetries, Cartan (Noether) symmetries, gauge symmetries and different versions of Noether's theorem are studied in this ambient. In this way, this constitutes a general geometric framework for all these topics that includes, as special...
Variational Principles in the General Theory of Relativity.
Wetting on rough surfaces and contact angle hysteresis: numerical experiments based on a phase field model
We present a phase field approach to wetting problems, related to the minimization of capillary energy. We discuss in detail both the Γ-convergence results on which our numerical algorithm are based, and numerical implementation. Two possible choices of boundary conditions, needed to recover Young's law for the contact angle, are presented. We also consider an extension of the classical theory of capillarity, in which the introduction of a dissipation mechanism can explain and predict the hysteresis...
Z historie inverzního variačního problému: Odvození podmínek silné variačnosti
Вариационные свойства некоторых обратных краевых задач фильтрации
Вариационный принцип для условия Лоренца и ограничение области континульного интегрирования в неабелевой калибровочной теории
Об оценках максимумов модулей градиентов для решений задач капиллярности
Об устойчивости классических решений вариационных задач математической физики.
Соотношение между вариационными принципами термодинамики необратимых процессов и различными вариационными принципами механики, а также стоительной механики
Теорема существования и слабая форма уравнений Лагранжа для вариационной задачи теории фазовых превращений.
Функционал гидродинамического действия и поглощение электромагнитных волн в плазме
Функциональное интегрирование и вариационные уравнения нелинейной оптики