197,452 research outputs found

    Finite Time Blow up of the Solutions to Nonlinear Klein-Gordon Equation with Arbitrary High Positive Initial Energy

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    [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

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    [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

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    [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

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    [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

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    [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

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    [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

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    [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

    Understanding Accountability: New Perspectives on a Fractured World

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    This book brings clarity and understanding to the concept of accountability through the lens of conceptual political analysis. As the structure of the modern state has become more complex, the architecture of accountability has itself needed to evolve and re-orientate in an attempt to keep pace. This has led to an increased emphasis not on accountability per se but on different kinds or types of accountability. As such, it is argued here that accountability has emerged to become a concept with adjectives and there is a real need to properly understand accountability in an increasingly fractured world. The theoretical and analytical glue that binds all of the chapters in this collection is a commitment to working within the contours of the work of the philosopher, Giovanni Sartori. This is an approach that has been used to tease apart and interrogate a range of concepts including terrorism, governance, coups, gender equality, deliberation, warfare, clientelism, hybrid regimes, democracy, right through to art, love, rape and violence. It is also an approach that facilitates the cultivation of complex debates concerning the limits of conceptual flexibility. The volume consists of twelve chapters, grouped into three main parts. The introductory part provides the foundations for the collection. Part I on Power explores the normative dimensions of accountability as a means to control and regulate power. Part II on Politics focuses inter alia on accountability following a period of crisis and the emergence of new technology such as algorithms. The final part, Part III, on Particularities looks at concepts such as social accountability and what is meant by supplementary accountability. This broad-ranging collection increases the conceptual toolkit that social and political scientists and lawyers can use to interrogate change at a number of levels and in a range of sectors. Whether through a focus on moral, individual or gendered accountability, or through a shift towards clashing, stakeholder or social accountability, there is a clear flow and coherence through the chapters. The volume will be of interest to academics and researchers working in the areas of Legal and Political Theory, Legal and Political Philosophy and Accountability Studies

    Psychologische und genetische Risikofaktoren und Konsequenzen postoperativer Schmerzen

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    Kumulative Dissertation, Otto-Friedrich-Universität Bamberg, 2016Zusammenfassung Die vorliegende publikationsbasierte Dissertation umfasst eine Literaturübersicht und zwei klinische Studien, die in drei unabhängigen Publikationen veröffentlicht wurden. Die Publikationen werden zu Beginn des jeweiligen Kapitels zitiert, der die Inhalte der entsprechenden Publikation darstellt. Die vorliegende Dissertation befasst sich mit den wechselseitigen Beziehungen zwischen psychologischen und geneti-schen Risikofaktoren und dem postoperativen Schmerz. Das Ziel dieser Arbeit ist die Ermittlung klinisch relevanter Aussagen zur Verbesserung der Identifikation von Patienten mit erhöhtem Risiko für die Entwicklung chronischer Schmerzen infolge eines chirurgischen Eingriffs. Als Modell für postoperative Schmerzen wurde in den klinischen Studien die kosmetische Korrektur einer angeborenen Deformität des Brustkorbs, bekannt als Trichterbrust, verwendet. Diese Patienten sind jung und weisen präoperativ keine schwerwiegende Schmerzerfahrung auf. Aus diesem Grund bot dieses Operationsmodell herausragende Bedingungen für die Untersuchung des Übergangs zum chronischen Schmerz. Aus der Literaturübersicht erwies sich das Auftreten chronischer Schmerzen nach Operationen als ein häufiges Phänomen mit einer Abhängigkeit der Epidemiologie von der Art des chirurgischen Eingriffs. Depressivität, sowie schmerzspezifische psychologische Faktoren zeigten eine starke Aussagekraft als Risikofaktoren. Die selbstberichtete Hypervigilanz im Sinne eines Monitoring des Schmerzes schien ein Risikofaktor für die langfristige schmerzassoziierte Beeinträchtigung darzustellen [Dimova, V. & Lautenbacher, S. (2010). Chronische Schmerzen nach Operationen. Epidemiologie unter besonderer Berücksichtigung psychologischer Risikofaktoren. AINS 45, 488-494]. In Studie 1 lieferten ausgewählte schmerz-assoziierte genetische Polymorphismen einen schwachen Beitrag für die Erklärung des Verlaufs postopera-tiven Outcomes bis zu 1 Jahr nach der Trichterbrustoperation. Im Vergleich konnte die selbstberichtete Vigilanz für Schmerz die längerfristig verbleibende Beeinträchti-gung durch den postoperativen Schmerz erklären [Dimova, V., Lötsch, J., Hühne, K., Winterpacht, A., Heesen, M., Parthum, A., Weber, P. G., Carbon, R., Griessinger, N., Sittl, R. & Lautenbacher, S. (2015). Associations of genetic and psychological factors with persistent pain after cosmetic thoracic surgery, Journal of Pain Research, 8, 829-844]. In Studie 2 trug der akute postoperative Schmerz als Konsequenz zur einen unmittelbaren kurzfristigen psychologischen Sensibilisierung in der Patientenpopulation bei. Dieser Befund weist auf die generelle Implikation hin, dass ein ein-maliges intensives Schmerzereignis zur Veränderung kognitiv-emotionaler Prozesse führen kann [Dimova, V., Horn, C., Parthum, A., Kunz, M., Schöfer, D., Carbon, R., Griessinger, N., Sittl, R. & Lautenbacher, S. (2013). Does severe acute pain provoke lasting changes in attentional and emotional mechanisms of pain-related processing? A longitudinal study. PAIN, 154 (12), 2737-2744]. Zusammenfassend hebt die vorliegenden Dissertation folgende drei wissenschaftli-che Befunde hervor: Schmerzspezifische psychologische Risikofaktoren stellen potente Prädiktoren für postoperative Schmerzen dar. Ihr Erklärungswert kann den schmerzassoziierter genetischer Marker übersteigen, wie es für die selbstberichtete Schmerzvigilanz gezeigt wurde. Eine einmalige intensive Schmerzepisode beeinflusst negativ die kognitiv-emotionale Schmerzverarbeitung.Abstract In the present dissertation, the results of a literature survey and two clinical studies published as three separate scientific publications are reported. The publication corresponding to the respective study is cited at the beginning of the particular chapter describing this study. The aim of the studies was to investigate the relationships between psychological as well as genetic factors and postoperative pain with the purpose to identify patients at risk of developing chronic pain conditions after surgery, in the particular example of thoracic surgery for funnel chest correction. The cosmetic correction of congenital chest malformation known as funnel chest was used as a model for postoperative pain because the patients are usually young and without severe pain experience prior to surgery. These conditions allowed for investigating the relationships between postoperative pain and its risk factors without confounding effects of preoperatively existing pain. The review of available studies suggested that an alarmingly high proportion of patients undergoing surgery develop chronic pain. The rates depend on the type of surgical manipulation. Mood as well as pain-related cognitive-emotional mechanisms seem to be potential risk factors for the development of chronic pain [Dimova, V. & Lautenbacher, S. (2010). Chronische Schmerzen nach Operationen. Epidemiologie unter besonderer Berücksichtigung psychologischer Risikofaktoren. AINS, 45, 488-494]. In study 1, genetic variants functionally related to pain showed no meaningful impact on the time course of pain intensity and disability up to one year after surgery. They exerted also only small effects on final postoperative outcome. In contrast, a higher level of self-reported pain vigilance was a risk factor for long-lasting pain disability [Dimova, V., Lötsch, J., Hühne, K., Winterpacht, A., Heesen, M., Parthum, A., Weber, P. G., Carbon, R., Griessinger, N., Sittl, R. & Lautenbacher, S. (2015). Associations of genetic and psychological factors with persistent pain after cosmetic thoracic surgery, Journal of Pain Research, 8, 829-844]. In study 2, the acute postoperative pain, representing in this clinical sample a singular major pain episode, provoked in turn changes in cognitive and emotional mechanisms of pain processing that could not outlast the acute postoperative phase. Even if such changes were short-lived, they may act as risk factors that adversely affect the patient’s postoperative recovery [Dimova, V., Horn, C., Parthum, A., Kunz, M., Schöfer, D., Carbon, R., Griessinger, N., Sittl, R. & Lautenbacher, S. (2013). Does severe acute pain provoke lasting changes in attentional and emotional mechanisms of pain-related processing? A longitudinal study. PAIN, 154 (12), 2737-2744]. Summarized, the present dissertation highlights the following aspects: Pain-related psychological risk factors seem to be powerful predictors of postoperative outcome. Their effects on long-term postoperative outcome may even exceed the effects of pain-related genetic markers as shown for the pain vigilance. An intense pain episode such as postoperative pain acts negatively on cognitive-emotional processing
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