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Instabilities Modeling in Geomechanics describes complex mechanisms which are frequently met in earthquake nucleation, geothermal energy production, nuclear waste disposal and CO2 sequestration. These mechanisms involve systems of non-linear differential equations that express the evolution of the geosystem (e.g. strain localization, temperature runaway, pore pressure build-up, etc.) at different length and time scales.
In order to study the evolution of a system and possible instabilities, it is essential to know the mathematical properties of the governing equations. Therefore, questions of the existence, uniqueness and stability of solutions naturally arise.
This book particularly explores bifurcation theory and stability analysis, which are robust and rigorous mathematical tools that allow us to study the behavior of complex geosystems, without even explicitly solving the governing equations. The contents are organized into 10 chapters which illustrate the application of these methods in various fields of geomechanics.
Part 1. Methods of Legal Theory
1. Methodology in Legal Philosophy, Julie Dickson.
2. The Methodology of Analytic Jurisprudence, Pierluigi Chiossoni.
3. Methodology for Theorizing About the Nature of Law and About Doctrinal Areas of Law, Brian H. Bix.
4. Empirical Complexity as a Conceptual Claim: Reappraising Hart’s Account of Law as a Complex Social Practice, Gregory Bligh.
5. Authoritative Disagreement: Meta-Legal Theory and the Semantics of Adjudication, Andrej Kristan and Giulia Pravato.
6. Jeremy Waldron, the Legitimacy of Judicial Review and Political Theory, Charles-Maxime Panaccio.
Part 2. Metatheory of Legal Science
7. Metatheory of an (Empirical) Legal Science, Eric Millard.
8. Legal and Social Sciences: What are the Links?, Véronique Champeil-Desplats.
9. A Hermeneutic Reading of Law and Legal Theory: Regarding Paul Ricoeur, Xavier Bioy and Thomas Escach-Dubourg.
10. Legal Science According to the Pure Theory of Law, Thomas Hochmann.
11. Axiological Neutrality, Oppositional Thinking and Knowledge, Jean-Baptiste Pointel.
12. Legal Science and Its Roles in Legal Reasoning, Fabio Perin Shecaira.
13. Inference to the Best Explanation in Legal Science; on Balancing Contrastive Hypotheses, David Duarte.
Ioannis Stefanou
Ioannis Stefanou is Professor at ECN, France, and leads several geomechanics projects. His main research interests include mechanics, geomechanics, control, induced seismicity and machine learning.
Félix Darve
Félix Darve is Emeritus Professor at the Soils Solids Structures Risks (3SR) laboratory, Grenoble-INP, Grenoble Alpes University, France. His research focuses on computational geomechanics.
