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The motives for bringing about the Hellenic-Serbian Dialogue Series originate from the sentiment that mutual relations between Greeks and Sebs far surpass the cultural exchange between Greece and Serbia. Knowing that cooperation does not simply fall into one’s lap, but must be initiated by human will and energy, a group of philosophers from Athens and Novi Sad, the proverbial “Athens of Serbia,” committed themselves to improving this state of affairs, at least within the confines of their area of expertise, philosophy. It is our firm intent to carry out the promise of the title of this series in the following years. Apart from mere cooperation between our two institutions, our aim is also to facilitate an international dialogue that would involve a wide range of thinkers, regardless of their place of employment. The topic of this second volume is personhood, which was spurred on by the need to investigate the condition of humanity in the twenty-first century. With this second volume of the Hellenic-Serbian Philosophical Dialogue Series we have done our best to produce a rich, multi-faceted, broadly scoped, and inspiring book; we wish it becomes for the reader the ideal vehicle for an intellectually stimulating journey.

History of Western philosophy --- personhood --- identity --- moral agency --- uniqueness --- autonomy --- personhood --- identity --- moral agency --- uniqueness --- autonomy

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No detailed description available for "Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik".

Differential equations, Partial. --- Equations of motion. --- Lagrange equations --- Dallas Albritton, Elia Brué, Maria Colombo, Camillo De Lellis, Vikram Giri, Maximilian Janisch, and Hyunju Kwon. --- Euler equations. --- Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik: (AMS-219). --- critical exponent. --- existence and uniqueness problem. --- fluid dynamics. --- hydrodynamics. --- nonuniqueness. --- partial differential equations. --- vorticity formulation. --- well-posedness problem. --- Numerical solutions. --- Dallas Albritton, Elia Brué, Maria Colombo, Camillo De Lellis, Vikram Giri, Maximilian Janisch, and Hyunju Kwon. --- Euler equations. --- Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik: (AMS-219). --- critical exponent. --- existence and uniqueness problem. --- fluid dynamics. --- hydrodynamics. --- nonuniqueness. --- partial differential equations. --- vorticity formulation. --- well-posedness problem.

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Nonlinear science is the science of, among other exotic phenomena, unexpected and unpredictable behavior, catastrophes, complex interactions, and significant perturbations. Ocean and atmosphere dynamics, weather, many bodies in interaction, ultra-high intensity excitations, life, formation of natural patterns, and coupled interactions between components or different scales are only a few examples of systems where nonlinear science is necessary. All outstanding, self-sustained, and stable structures in space and time exist and protrude out of a regular linear background of states mainly because they identify themselves from the rest by being highly localized in range, time, configuration, states, and phase spaces. Guessing how high up you drive toward the top of the mountain by compiling your speed, road slope, and trip duration is a linear model, but predicting the occurrence around a turn of a boulder fallen on the road is a nonlinear phenomenon. In an effort to grasp and understand nonlinear phenomena, scientists have developed several mathematical approaches including inverse scattering theory, Backlund and groups of transformations, bilinear method, and several other detailed technical procedures. In this Special Issue, we introduce a few very recent approaches together with their physical meaning and applications. We present here five important papers on waves, unsteady flows, phases separation, ocean dynamics, nonlinear optic, viral dynamics, and the self-appearance of patterns for spatially extended systems, which are problems that have aroused scientists’ interest for decades, yet still cannot be predicted and have their generating mechanism and stability open to debate. The aim of this Special Issue was to present these most debated and interesting topics from nonlinear science for which, despite the existence of highly developed mathematical tools of investigation, there are still fundamental open questions.

diffusion --- viral infection --- non-Newtonian fluid --- convergence --- Navier–Stokes–Voigt equations --- existence --- Lyapunov functional --- Faedo–Galerkin approximations --- probability distribution --- strong solutions --- stability --- multigrid method --- parabolic equations --- long-time behavior --- Fokker–Planck equation --- viscoelastic models --- Cauchy problem --- unconditionally gradient stable scheme --- uniqueness --- existence and uniqueness theorem --- continuum spectrum pulse equation --- Stokes operator --- Lagrangian scheme --- Cahn–Hilliard equation --- Feller equation

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Following the classical work of Norbert Wiener, Ross Ashby, Ludwig von Bertalanffy and many others, the concept of System has been elaborated in different disciplinary fields, allowing interdisciplinary approaches in areas such as Physics, Biology, Chemistry, Cognitive Science, Economics, Engineering, Social Sciences, Mathematics, Medicine, Artificial Intelligence, and Philosophy. The new challenge of Complexity and Emergence has made the concept of System even more relevant to the study of problems with high contextuality. This Special Issue focuses on the nature of new problems arising from the study and modelling of complexity, their eventual common aspects, properties and approaches—already partially considered by different disciplines—as well as focusing on new, possibly unitary, theoretical frameworks. This Special Issue aims to introduce fresh impetus into systems research when the possible detection and correction of mistakes require the development of new knowledge. This book contains contributions presenting new approaches and results, problems and proposals. The context is an interdisciplinary framework dealing, in order, with electronic engineering problems; the problem of the observer; transdisciplinarity; problems of organised complexity; theoretical incompleteness; design of digital systems in a user-centred way; reaction networks as a framework for systems modelling; emergence of a stable system in reaction networks; emergence at the fundamental systems level; behavioural realization of memoryless functions.

Uncertainty --- Noise --- Memory Less Functions --- Self-Organisation --- Complexity --- Design --- Meta-Structures --- Scale Invariance --- Organisations --- Quantum-Like Systems --- Emergence --- Observer --- Cybernetic Approach --- Power Laws --- Reaction Networks --- Simulations --- Uniqueness --- Irreversibility --- Systems --- Incompleteness --- Computation --- Non-Linearity --- Coherence

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The aim of this book is to investigate how definiteness is expressed in Polish, a language which is claimed to have no definite and in-definite articles. The central question is how the difference in definiteness is indicated between 'a woman' and 'the woman' in Polish. In English, the definite article 'the' and the indefinite article 'a' express the category of definiteness explicitly. Since definiteness is also relevant in articleless languages, there are other means to indicate that a nominal phrase is definite or indefinite. This study is delimited to four means for expressing definiteness in Polish, which are demonstratives, aspect, case alternation, and information structure. Each strategy is investigated independently from the others, although they interact in a complex way, which is shown at the end of this book resulting in a decision tree. Polish is not investigated in isolation, however, the study is complemented by comparisons with other Slavic languages and also with a Polish dialect called 'Upper Silesian', which differs from Polish. The analysis in this book is based on Löbner's theory of 'Concept Types and Determination' (CTD). Löbner's distinction of the four concept types (sortal, relational, functional, individual) is crucial since definiteness phenomena under discussion can be explained. Therefore, the interaction of the four concept types with the four definiteness strategies plays a central role in this book. This series explores issues of mental representation, linguistic structure and representation, and their interplay. The research presented in this series is grounded in the idea explored in the Collaborative Research Center 'The structure of representations in language, cognition and science' (SFB 991) that there is a universal format for the representation of linguistic and cognitive concepts.

LANGUAGE ARTS & DISCIPLINES / General. --- Collaborative Research Center. --- Concept Types and Determination. --- Die Struktur von Repräsentationen in Sprache, Kognition und Wissenschaft. --- English. --- Filip's approach. --- Gerhard Schurz. --- German. --- Hana Filip. --- Heinrich-Heine-Universität Düsseldorf. --- Lambrecht. --- Laura Kallmeyer. --- Löbner's approach to definiteness. --- Mathesius. --- Peter Indefrey. --- Polish case system. --- Polish determiners. --- Polish. --- Robert D. Van Valin, Jr. --- SFB 991. --- Sebastian Löbner. --- Slavistic literature. --- Sonderforschungsbereich 991. --- The structure of representations in language, cognition and science. --- Thetic sentences. --- analysis of ten. --- anaphoric SNs. --- anaphors. --- articleless languages. --- aspectual composition. --- case alternation. --- category of definiteness. --- complex ICs. --- concept type. --- concept types. --- count distinction. --- definite article. --- definiteness condition. --- definiteness strategies. --- definiteness. --- deictic SNs. --- demonstrative. --- differential object marking. --- equation of definiteness. --- familiarity. --- fluid case alternation. --- functional concept type. --- grammaticalization. --- incremental theme verbs. --- indefinite article. --- individual concept type. --- information structure in Polish. --- information structure. --- inherent relationality. --- inherent uniqueness. --- lexical FNs. --- lexical INs. --- mass distinction. --- nominal phrase. --- non-incremental theme verbs. --- paradigm of ten. --- part-whole DAAs. --- pragmatic uniqueness. --- relational DAAs. --- relational concept type. --- scale of uniqueness. --- semantic. --- situational DAAs. --- slavic comparison. --- sortal concept type. --- studies on demonstratives in Polish. --- topic-focus structure. --- uniqueness. --- upper Silesian tyn. --- upper Silesian. --- word order.