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Evolutionary Equations with Applications in Natural Sciences
  • Language: en
  • Pages: 505

Evolutionary Equations with Applications in Natural Sciences

  • Type: Book
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  • Published: 2014-11-07
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  • Publisher: Springer

With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and complexity theory. Truly unique features of the book are: the first simultaneous presentation of two complementary approaches to fragmentation and coagulation problems, by weak compactness methods and by using semigroup techniques, comprehensive exposition of probabilistic methods of analysis of long term dynamics of dynamical systems, semigroup analysis of biological problems and cutting edge pattern formation theory. The book will appeal to postgraduate students and researchers specializing in applications of mathematics to problems arising in natural sciences and engineering.

Mathematical Topics In Neutron Transport Theory: New Aspects
  • Language: en
  • Pages: 372

Mathematical Topics In Neutron Transport Theory: New Aspects

This book presents some recent mathematical developments about neutron transport equations. Several different topics are dealt with including regularity of velocity averages, spectral analysis of transport operators, inverse problems, nonlinear problems arising in the stochastic theory of neutron chain fissions, compactness properties of perturbed of c0-semigroups in Banach spaces with applications to transport theory, Miyadera perturbations of c0-semigroups in Banach spaces with applications to singular transport equations, a thorough analysis of the leading eigenelements of transport operators and their approximation, scattering theory. Besides the new problems addressed in this book a unification and extension of the classical spectral analysis of neutron transport equations is given.

Semigroups of Operators -Theory and Applications
  • Language: en
  • Pages: 338

Semigroups of Operators -Theory and Applications

  • Type: Book
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  • Published: 2014-11-20
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  • Publisher: Springer

Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semi group theory to learn what is happening outside their own field of research. The collection will help to establish a number of new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginnin...

Geometric Regularization in Bioluminescence Tomography
  • Language: en
  • Pages: 198

Geometric Regularization in Bioluminescence Tomography

Bioluminescence tomography is a recent biomedical imaging technique which allows to study molecular and cellular activities in vivo. From a mathematical point of view, it is an ill-posed inverse source problem: the location and the intensity of a photon source inside an organism have to be determined, given the photon count on the organism's surface. To face the ill-posedness of this problem, a geometric regularization approach is introduced, analyzed and numerically verified in this book.

Positive Operator Semigroups
  • Language: en
  • Pages: 366

Positive Operator Semigroups

  • Type: Book
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  • Published: 2017-02-13
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  • Publisher: Birkhäuser

This book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications. Positivity is a property which naturally appears in physical, chemical, biological or economic processes. It adds a beautiful and far reaching mathematical structure to the dynamical systems and operators describing these processes. In the first part, the finite dimensional theory in a coordinate-free way is developed, which is difficult to find in literature. This is a good opportunity to present the main ideas of the Perron-Frobenius theory in a way whic...

Differential and Integral Equations
  • Language: en
  • Pages: 256

Differential and Integral Equations

  • Type: Book
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  • Published: 2005
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  • Publisher: Unknown

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Publications du Laboratoire d'analyse numérique
  • Language: en
  • Pages: 438

Publications du Laboratoire d'analyse numérique

  • Type: Book
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  • Published: 1986
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  • Publisher: Unknown

None

Workshop on Operator Semigroups and Evolution Equations
  • Language: en
  • Pages: 290

Workshop on Operator Semigroups and Evolution Equations

  • Type: Book
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  • Published: 1991
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  • Publisher: Unknown

None

Discrete and Continuous Dynamical Systems
  • Language: en
  • Pages: 568

Discrete and Continuous Dynamical Systems

  • Type: Book
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  • Published: 2005
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  • Publisher: Unknown

None

Annales de la faculté des sciences de Toulouse
  • Language: en
  • Pages: 416

Annales de la faculté des sciences de Toulouse

  • Type: Book
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  • Published: 2000
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  • Publisher: Unknown

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