1,720,971 research outputs found
Finite Time Blow up of the Solutions to Nonlinear Klein-Gordon Equation with Arbitrary High Positive Initial Energy
Get PDF[Kutev N.; Кутев Н.]; [Kolkovska N.; Колковска Н.]; [Dimova M.; Димова М.]2010 Mathematics Subject Classification: 35L05, 35L15
Orbital Stability of Solitary Waves to Fourth Order Dispersive Equations with Quadratic Nonlinearity
Get PDF[Kolkovska N.; Кольковска Н.]; [Dimova M.; Димова М.]; [Kutev N.; Kutev Nikolai; Кутев Николай]2010 Mathematics Subject Classification: 35B44, 35L75
Necessary and Sufficient Condition for Finite Time Blow up of the Solutions to Sixth Order Double Dispersive Equations
Get PDF[Kutev N.; Kutev Nikolai; Кутев Николай]; [Kolkovska N.; Кольковска Н.]; [Dimova M.; Димова М.]The nonlinear double dispersive equation of sixth order with linear restoring force is investigated. Necessary and sufficient condition for finite time blow up of the solution with arbitrary positive energy is obtained. New very general sufficient conditions for blow up of the solution are proved. Explicit choice of initial data with arbitrary positive initial energy, satisfying all conditions of the theorems, are given. 2010 Mathematics Subject Classification: 35B44, 35L75
Application of the Improved Concavity Method to Sixth Order Boussinesq Equations with Arbitrary High Initial Energy
Get PDF[Kutev N.; Kutev Nikolai; Кутев Николай]; [Dimova M.; Димова М.]; [Kolkovska N.; Кольковска Н.]Finite time blow up of the solutions to sixth order Boussinesq equation
with arbitrary positive initial energy is proved. An improved variant of the
concavity method of Levine is applied. This new method allows us to derive
nonexistence of global solutions under conditions on the initial data which
are more general than the assumptions used in the literature. 2010 Mathematics Subject Classification: 35L30; 35L75; 35B44
Global Behavior of the Solutions to Sixth Order Boussinesq Equation with Linear Restoring Force
Get PDF[Kutev N.; Kutev Nikolai; Кутев Николай]; [Kolkovska N.; Кольковска Н.]; [Dimova M.; Димова М.]Potential well method is established to sixth order Boussinesq equation with linear restoring force and subcritical initial energy. For supercritical initial energy finite time blow up of the solutions is proved under general structural conditions on the initial data. Numerical experiments, illustrating the theoretical results, are presented. 2000 Mathematics Subject Classification: 35L30,76B15,65M06
Обобщен метод на Левин и приложения за нелинейни дисперсни уравнения
Get PDF[Kutev N.; Кутев Н.]; [Kolkovska N.; Кольковска Н.]; [Dimova M.; Димова М.]A new ordinary differential inequality without global solutions is proposed. Comparison with similar differential inequalities in the well-known concavity method is performed. As an application, finite time blow up of the solutions to nonlinear Klein-Gordon equation is proved. The initial energy is arbitrary high positive. The structural conditions on the initial data generalize the assumptions used in the literature for the time being
Global Solvability to Double Dispersion Equation with Bernoulli Type Nonlinearity via One Parametric Family of Potential Wells
Get PDF[Kutev N.; Kutev Nikolai; Кутев Николай]; [Dimova M.; Димова М.]; [Kolkovska N.; Кольковска Н.]One parametric family of potential wells for double dispersion equation with Bernoulli type nonlinearity is introduced. Sign preserving properties of the Nehari functionals are obtained. Global existence of the weak solution to the Cauchy problem is proved for wider class of initial data than the corresponding ones in the classical potential well method. 2010 Mathematics Subject Classification: 35L30, 35L75
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Get PDF“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
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