Quantum turbulence: Theoretical and numerical problems

SK Nemirovskii - Physics Reports, 2013 - Elsevier
The term “quantum turbulence”(QT) unifies the wide class of phenomena where the chaotic
set of one dimensional quantized vortex filaments (vortex tangles) appear in quantum fluids …

Thermostatted kinetic equations as models for complex systems in physics and life sciences

C Bianca - Physics of Life Reviews, 2012 - Elsevier
Statistical mechanics is a powerful method for understanding equilibrium thermodynamics.
An equivalent theoretical framework for nonequilibrium systems has remained elusive. The …

Toward a mathematical theory of living systems focusing on developmental biology and evolution: A review and perspectives

N Bellomo, B Carbonaro - Physics of Life Reviews, 2011 - Elsevier
This review paper is devoted to present a personal perspective, based on a critical analysis
of the existing literature, about the conceptual difficulties that mathematics meets when …

Towards a unified approach in the modeling of fibrosis: A review with research perspectives

MB Amar, C Bianca - Physics of life reviews, 2016 - Elsevier
Pathological fibrosis is the result of a failure in the wound healing process. The
comprehension and the related modeling of the different mechanisms that trigger fibrosis are …

On the modeling of crowd dynamics: Looking at the beautiful shapes of swarms

N Bellomo, A Bellouquid - Networks and Heterogeneous Media, 2011 - aimsciences.org
This paper presents a critical overview on the modeling of crowds and swarms and focuses
on a modeling strategy based on the attempt to retain the complexity characteristics of …

[图书][B] Towards a mathematical theory of complex biological systems

C Bianca, C Bianca, N Bellomo - 2011 - books.google.com
This monograph has the ambitious aim of developing a mathematical theory of complex
biological systems with special attention to the phenomena of ageing, degeneration and …

Onset of nonlinearity in thermostatted active particles models for complex systems

C Bianca - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
This paper is concerned with the derivation of a new discrete general framework of the
kinetic theory, suitable for the modeling of complex systems under the action of an external …

[HTML][HTML] On a class of integro-differential equations modeling complex systems with nonlinear interactions

L Arlotti, E De Angelis, L Fermo, M Lachowicz… - Applied Mathematics …, 2012 - Elsevier
This work deals with the qualitative analysis of the initial value problem for a class of large
systems of interacting entities in the framework of the mathematical kinetic theory for active …

[PDF][PDF] Kinetic theory for active particles modelling coupled to Gaussian thermostats

C Bianca - Applied Mathematical Sciences, 2012 - m-hikari.com
This paper deals with the kinetic theory for active particles modelling of complex systems,
under the action of a velocity-dependent force field, and constrained to kept constant the …

[HTML][HTML] On the mathematical theory of living systems II: The interplay between mathematics and system biology

V Coscia, L Fermo, N Bellomo - Computers & Mathematics with …, 2011 - Elsevier
This paper aims at showing how the so-called mathematical kinetic theory for active particles
can be properly developed to propose a new system biology approach. The investigation …