Search Results - EMS

Stochastic optimal transport and Hamilton–Jacobi–Bellman equations on the set of probability measures by Bertucci, Charles

“…We introduce a stochastic version of the optimal transport problem. We provide an analysis by means of the study of the associated Hamilton–Jacobi–Bellman…”
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On the convergence of critical points of the Ambrosio–Tortorelli functional by Babadjian, Jean-François, Millot, Vincent, Rodiac, Rémy

“…This work is devoted to studying the asymptotic behavior of critical points \{(u_{\varepsilon},v_{\varepsilon})\}_{\varepsilon>0} of the Ambrosio–Tortorelli…”
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Adaptation to a heterogeneous patchy environment with nonlocal dispersion by Léculier, Alexis, Mirrahimi, Sepideh

“…In this work, we provide an asymptotic analysis of the solutions to an elliptic integro-differential equation. This equation describes the evolutionary…”
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Normalized solutions of $L^2$-supercritical NLS equations on compact metric graphs by Chang, Xiaojun, Jeanjean, Louis, Soave, Nicola

“…This paper is devoted to the existence of non-trivial bound states of prescribed mass for the mass-supercritical nonlinear Schrödinger equation on compact…”
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Blow-up of 2D attractive Bose-Einstein condensates at the critical rotational speed by Dinh, Van Duong, Nguyen, Dinh-Thi, Rougerie, Nicolas

“…We study the ground states of a 2D focusing non-linear Schrödinger equation with rotation and harmonic trapping. When the strength of the interaction…”
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JKO estimates in linear and non-linear Fokker–Planck equations, and Keller–Segel: $L^p$ and Sobolev bounds by Di Marino, Simone, Santambrogio, Filippo

“…We analyze some parabolic PDEs with different drift terms which are gradient flows in the Wasserstein space and consider the corresponding discrete-in-time JKO…”
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Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow by Vega, Luis, Banica, Valeria

“…We consider the binormal flow equation, which is a model for the dynamics of vortex filaments in Euler equations. Geometrically, it is a flow of curves in…”
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Anisotropy and stratification effects in the dynamics of fast rotating compressible fluids by Bocchi, Edoardo, Fanelli, Francesco, Prange, Christophe

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Dispersive estimates for the Schrödinger equation in a strictly convex domain and applications by Ivanovici, Oana

“…We consider an anisotropic model case for a strictly convex domain of dimension $d\geq 2$ with smoothboundary and we describe dispersion forthe semi-classical…”
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Constrained control of gene-flow models by Mazari, Idriss, Ruiz-Balet, Domènec, Zuazua, Enrique

“…In ecology and population dynamics, gene flow refers to the transfer of a trait (e.g. genetic material) from one population to another. This phenomenon is of…”
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Convergence rate for the incompressible limit of nonlinear diffusion–advection equations by Perthame, Benoît, Dębiec, Tomasz, David, Noemi

“…The incompressible limit of nonlinear diffusion equations of porous medium type has attracted a lot of attention in recent years, due to its ability to link…”
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Noiseless regularisation by noise by Galeati, Lucio, Gubinelli, Massimiliano

“…We analyse the effect of a generic continuous additive perturbation to the well-posedness of ordinary differential equations. Genericity here is understood in…”
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Control of the Schrödinger equation by slow deformations of the domain by Duca, Alessandro, Joly, Romain, Turaev, Dmitry

“…The aim of this work is to study the controllability of the Schrödinger equation i\partial_t u(t)=-\Delta u(t) on \Omega(t) with Dirichlet boundary conditions,…”
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Effective viscosity of random suspensions without uniform separation by Duerinckx, Mitia

“…This work is devoted to the definition and the analysis of the effective viscosity associated with a random suspension of small rigid particles in a steady…”
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Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation by Guardia, Marcel, Hani, Zaher, Haus, Emanuele, Maspero, Alberto, Procesi, Michela

“…We consider the defocusing cubic nonlinear Schrödinger equation (NLS) on the twodimensional torus. The equation admits a special family of elliptic invariant…”
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A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion by Michael Winkler

“…The taxis-type migration–consumption model accounting for signal-dependent motilities, as given by u_{t} = \Delta (u\phi(v)) , v_{t} = \Delta v-uv , is…”
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Existence of surfaces optimizing geometric and PDE shape functionals under reach constraint by Privat, Yannick, Robin, Rémi, Sigalotti, Mario

“…This article deals with the existence of hypersurfaces minimizing general shape functionals under certain geometric constraints. We consider as admissible…”
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Time-global existence of generalized BV flow via the Allen–Cahn equation by Tashiro, Kiichi

“…We show that a mean curvature flow obtained as the limit of the Allen–Cahn equation is not only a Brakke flow but also a generalized BV flow proposed by…”
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A diffuse interface model of tumour evolution under a finite elastic confinement by Agosti, Abramo, Bardin, Riccardo, Ciarletta, Pasquale, Grasselli, Maurizio

“…Diffuse interface models have gained a growing interest in cancer research for their ability to investigate the mechano-biological features during tumour…”
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The matching problem between functional shapes via a $BV$ penalty term: A $\Gamma$-convergence result by Nardi, Giacomo, Charlier, Benjamin, Trouvé, Alain

“…The matching problem often arises in image processing and involves finding a correspondence between similar objects. In particular, variational matching models…”
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