## Search

Now showing items 1-10 of 28

#### An optimal scaling to computationally tractable dimensionless models: Study of latex particles morphology formation

(Computer Physics Communications, 2020-02)

In modelling of chemical, physical or biological systems it may occur that the coefficients, multiplying various terms in the equation of interest, differ greatly in magnitude, if a particular system of units is used. Such ...

#### Topological singular set of vector-valued maps, I: application to manifold-constrained Sobolev and BV spaces

(Calculus of Variations and Partial Differential Equations, 2019-03-30)

We introduce an operator $\mathbf{S}$ on vector-valued maps $u$ which has the ability to capture the relevant topological information carried by $u$.
In particular, this operator is defined on maps that take values in a ...

#### Order Reconstruction for neatics on squares with isotropic inclusions: A Landau-de Gennes study

(SIAM Journal on Applied Mathematics, 2019-03-30)

e study a modified Landau-de Gennes model for nematic liq- uid crystals, where the elastic term is assumed to be of subquadratic growth in the gradient. We analyze the behaviour of global minimizers in two- and three-dimensional ...

#### Convex Integration Arising in the Modelling of Shape-Memory Alloys: Some Remarks on Rigidity, Flexibility and Some Numerical Implementations

(Journal of Nonlinear Science, 2019-03-30)

We study convex integration solutions in the context of the modelling of shape-memory
alloys. The purpose of the article is twofold, treating both rigidity and flexibility prop-
erties: Firstly, we relate the maximal ...

#### The excluded volume of two-dimensional convex bodies: shape reconstruction and non-uniqueness

(Journal of Physics A: Mathematical and Theoretical, 2019-02-05)

In the Onsager model of one-component hard-particle systems, the entire phase behaviour is dictated by a function of relative orientation, which represents the amount of space excluded to one particle by another at this ...

#### A Global well-posedness result for the Rosensweig system of ferrofluids

(Rev. Mat. Iberoam., 2019)

In this Paper we study a Bloch-Torrey regularization of the Rosensweig system for ferrofluids. The scope of this paper is twofold. First of all, we investigate the existence and uniqueness of Leray-Hopf solutions of this ...

#### On the influence of gravity on density-dependent incompressible periodic fluids

(J. Differential Equations, 2019)

The present work is devoted to the analysis of density-dependent, incompressible fluids in a 3D torus, when the Froude number $\varepsilon$ goes to zero. We consider the very general case where the initial data do not have ...

#### Minimizers of a Landau-de Gennes energy with a subquadratic elastic energy

(Archive for Rational Mechanics and Analysis, 2019)

We study a modified Landau-de Gennes model for nematic liq- uid crystals, where the elastic term is assumed to be of subquadratic growth in the gradient. We analyze the behaviour of global minimizers in two- and three-dimensional ...

#### Models for damped water waves

(SIAM Journal of Applied Mathematics, 2019)

In this paper we derive some new weakly nonlinear asymptotic models describing
viscous waves in deep water with or without surface tension effects. These asymptotic models
take into account several different dissipative ...

#### Asymptotic models for free boundary flow in porous media

(Physica D, 2019)

We provide rigorous asymptotic models for the free boundary Darcy and Forchheimer problem under the assumption of weak nonlinear interaction, in a regime in which the steepness parameter of the interface is considered to ...