Results 41 to 50 of about 11,355 (304)

Geometric Discretization of Lagrangian Mechanics and Field Theories [PDF]

open access: yes, 2009
This thesis presents a unified framework for geometric discretization of highly oscillatory mechanics and classical field theories, based on Lagrangian variational principles and discrete differential forms. For highly oscillatory problems in mechanics,
Stern, Ari Joshua
core   +1 more source

Speed-gradient Entropy Principle for Nonstationary Processes

open access: yesEntropy, 2008
The speed-gradient variational principle (SG-principle) for nonstationary far from equilibrium systems is formulated and illustrated by examples. The SG-model of transient (relaxation) dynamics for systems of a finite number of particles based on maximum
Alexander Fradkov
doaj   +1 more source

Enhancing Variational Informational Principles: A Complexified Approach with Arbitrary Order Norms

open access: yesMathematics
This paper offers an innovative exploration of variational informational principles by incorporating complexification and studying norms of arbitrary order, thereby surpassing the limitations of the conventional L2 norm. For years, variational principles
D. Bernal-Casas, José M. Oller
doaj   +1 more source

Fractional variational problems with the Riesz-Caputo derivative

open access: yes, 2012
In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R.   +2 more
core   +1 more source

Variational principles in the linear theory of elasticity for general boundary conditions [PDF]

open access: yes, 1967
summary:Mixed boundary-value problem of the classical theory of elasticity is considered, where not only displacements and tractions are prescribed on some parts of the boundary, but also conditions of contact and elastic supports for normal and ...
Hlaváček, Ivan
core   +1 more source

Epigenetic blind spots – the role of DNA methylation dynamics in stem cell‐based models of embryogenesis

open access: yesFEBS Letters, EarlyView.
Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil   +4 more
wiley   +1 more source

Mathematical models of nonlinear longitudinal-cross oscillations of object with moving borders

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
The nonlinear formulation of problems for describing longitudinal-cross oscillations of objects with moving borders is noted. These mathematical models consist of a system of two nonlinear partial differential equations with the higher time derivative of
Valeriy N Anisimov, Vladislav L Litvinov
doaj   +1 more source

Variational principles of second, first and intermediate kinds for non-holonomic mechanics

open access: yes, 1999
The differential variational principles of second kind for non-holonomic mechanics ore given, from which a number of integral variational principles of second kind are set up. From the latter, the general relation of delta q'-delta q and the general form
Zhu, RZ (reprint author), Chinese Acad Sci, Inst Mech, Lab Nonlinear Mech Continuous Media, Beijing 100080, Peoples R China.   +1 more
core   +1 more source

Derivation of non-classical variational principles in the theory of elasticity [PDF]

open access: yes, 1967
summary:Generalized variational principles, suggested by Hu Hai-Chang and Washizu or Hellinger and Reissner respectively, are derived on the base of complementary energy respectively.
Hlaváček, Ivan
core   +1 more source

Network divergence analysis identifies adaptive gene modules and two orthogonal vulnerability axes in pancreatic cancer

open access: yesMolecular Oncology, EarlyView.
Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson   +9 more
wiley   +1 more source

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