, 2019 We study a coupled bulk-surface Allen-Cahn system with an affine linear transmission condition, that is, the trace values of the bulk variable and the values of the surface variable are connected via an affine relation, and this serves to generalize the ...
Colli, Pierluigi +2 more
core +1 more source
A regularity result for incompressible elastodynamics equations in the ALE coordinates
Advanced Nonlinear StudiesWe consider incompressible inviscid elastodynamics equations with a free surface and establish regularity of solutions for these equations. Compared with previous result on this free boundary problem [X. Gu and F.
Xie Binqiang
doaj +1 more source
A doubly nonlinear Cahn-Hilliard system with nonlinear viscosity
, 2017 In this paper we discuss a family of viscous Cahn-Hilliard equations with a non-smooth viscosity term. This system may be viewed as an approximation of a "forward-backward" parabolic equation.
Bonetti, Elena +3 more
core +1 more source
Euler-α equations in a three-dimensional bounded domain with Dirichlet boundary conditions
Open MathematicsIn this article, we investigate the Euler-α\alpha equations in a three-dimensional bounded domain. On the one hand, we prove in the Euler setting that the equations are locally well-posed with initial data in Hs(s≥3){H}^{s}\left(s\ge 3).
Yuan Shaoliang +3 more
doaj +1 more source
Discontinuous Galerkin finite element approximation of Hamilton-Jacobi-Bellman equations with Cordès coefficients [PDF]
, 2013 We propose an hp-version discontinuous Galerkin finite element method for fully nonlinear second-order elliptic Hamilton-Jacobi-Bellman equations with Cord ès coefficients. The method is proven to be consistent and stable, with convergence rates that are
Smears, Iain, Suli, Endre
core
, 2017 The aim of the paper is to study the problem $$ \begin{cases} u_{tt}-\Delta u+P(x,u_t)=f(x,u) \qquad &\text{in $(0,\infty)\times\Omega$,} u=0 &\text{on $(0,\infty)\times \Gamma_0$,} u_{tt}+\partial_\nu u-\Delta_\Gamma u+Q(x,u_t)=g(x,u)\qquad &\text{on ...
Vitillaro, Enzo
core +1 more source
A regularization approach to functional It\^o calculus and strong-viscosity solutions to path-dependent PDEs [PDF]
, 2014 First, we revisit functional It\^o/path-dependent calculus started by B. Dupire, R. Cont and D.-A. Fourni\'e, using the formulation of calculus via regularization. Relations with the corresponding Banach space valued calculus introduced by C. Di Girolami
Cosso, Andrea, Russo, Francesco
core +1 more source
Cross-points in the Dirichlet-Neumann method I: well-posedness and convergence issues. [PDF]
Numer Algorithms, 2023 Chaudet-Dumas B, Gander MJ.
europepmc +1 more source
A Greedy Method for Solving Classes of PDE Problems
, 2019 Motivated by the successful use of greedy algorithms for Reduced Basis Methods, a greedy method is proposed that selects N input data in an asymptotically optimal way to solve well-posed operator equations using these N data.
Schaback, Robert
core
Bacitracin, Bacillus subtilis, and Eimeria spp. challenge exacerbates woody breast incidence and severity in broilers. [PDF]
Poult Sci, 2022 Jia L +7 more
europepmc +1 more source