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Driving forces in cell migration and pattern formation in a soft tissue

We give a description of cell diffusion in a soft tissue, paying special attention to the coupling of force, matter, and microforce balance laws through a suitable dissipation principle. To this end, we cast our framework into a multi-level schematics, comprising both kinematics and kinetics, based on a characterization of the free energy. We lay down first a force balance law, where force and stress fields are defined as power conjugate quantities to velocity fields and their gradients...

Anomalous Regularization in Kraichnan's Passive Scalar Model

We consider the advection of a passive scalar by a divergence free random Gaussian field, white in time and H\"older regular in space (rough Kraichnan's model), a well established synthetic model of passive scalar turbulence. By studying the evolution of negative Sobolev norms, we show an anomalous regularization effect induced by the dynamics: distributional initial conditions immediately become functions of positive Sobolev regularity.

Almost-everywhere uniqueness of Lagrangian trajectories for $3$D Navier--Stokes revisited

We show that, for any Leray solution $u$ to the $3$D Navier--Stokes equations with $u_0\in L^2$, the associated Lagrangian trajectories are unique for Lebesgue a.e. initial condition. Additionally, if $u_0\in H^{1/2}$, then pathwise uniqueness is established for the stochastic Lagrangian trajectories starting from every initial condition. The result sharpens and extends the original one by Robinson and Sadowski (Nonlinearity 2009) and is based on rather different techniques. A key role ...

Regularization by rough Kraichnan noise for the generalised SQG equations

We consider the generalised Surface Quasi-Geostrophic (gSQG) equations in $\mathbb R^2$ with parameter $\beta\in (0,1)$, an active scalar model interpolating between SQG ($\beta=1$) and the 2D Euler equations ($\beta=0$) in vorticity form. Existence of weak $(L^1\cap L^p)$-valued solutions in the deterministic setting is known, but their uniqueness is open. We show that the addition of a rough Stratonovich transport noise of Kraichnan type regularizes the PDE, providing strong existence...

Quantitative Propagation of Chaos for Singular Interacting Particle Systems Driven by Fractional Brownian Motion

We consider interacting systems particle driven by i.i.d. fractional Brownian motions, subject to irregular, possibly distributional, pairwise interactions. We show propagation of chaos and mean field convergence to the law of the associated McKean--Vlasov equation, as the number of particles $N\to\infty$, with quantitative sharp rates of order $N^{-1/2}$. Our results hold for a wide class of possibly time-dependent interactions, which are only assumed to satisfy a Besov-type regularity...

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Tipologia
  • 5 Altro466
Autore
  • de MONTE, FILIPPO30
  • TALLINI, MARCO29
  • GIANCOLA, FRANCESCO21
  • IAPADRE, PASQUALE LELIO19
  • D'ANDREA, GABRIELE16
  • GAFFURI, LUIGI16
  • POMANTE, LUIGI15
  • MORGANTI, RENATO TEOFILO GIUSEPPE14
  • ALECCI, MARCELLO12
  • D'ALESSANDRO, GIAMPAOLO10
Data di pubblicazione
  • In corso di stampa6
  • 2020 - 202440
  • 2010 - 2019139
  • 2000 - 2009173
  • 1990 - 199986
  • 1980 - 198920
  • 1976 - 19792
Editore
  • S.EL.CA.4
  • Portofranco3
  • ASAL1
  • Fondazione Fontana1
  • S.EL.CA.,1
  • Tipografia Benvenuto1
Keyword
  • architettura11
  • analytical solution5
  • computer code5
  • exact5
  • residenza5
  • ricostruzione5
  • centro storico4
  • recupero edilizio4
  • steady state heat conduction4
  • heat conduction3
Lingua
  • ita187
  • eng140
  • spa15
  • ger6
  • fre3
  • ben1
  • bre1
  • kor1
  • pol1
  • por1
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