Zobrazeno 1 - 10
of 412
pro vyhledávání: '"Sprekels, Jürgen"'
Autor:
Colli, Pierluigi, Sprekels, Jürgen
In this paper, we study a hyperbolic relaxation of the viscous Cahn--Hilliard system with zero Neumann boundary conditions. In fact, we consider a relaxation term involving the second time derivative of the chemical potential in the first equation of
Externí odkaz:
http://arxiv.org/abs/2408.16332
This paper investigates an optimal control problem associated with a two-dimensional multi-species Cahn-Hilliard-Keller-Segel tumor growth model, which incorporates complex biological processes such as species diffusion, chemotaxis, angiogenesis, and
Externí odkaz:
http://arxiv.org/abs/2407.18162
Autor:
Colli, Pierluigi, Sprekels, Jürgen
In this paper we study the optimal control of an initial-boundary value problem for the classical nonviscous Cahn-Hilliard system with zero Neumann boundary conditions. Phase field systems of this type govern the evolution of diffusive phase transiti
Externí odkaz:
http://arxiv.org/abs/2406.02384
In this paper we study the optimal control of a parabolic initial-boundary value problem of viscous Cahn-Hilliard type with zero Neumann boundary conditions. Phase field systems of this type govern the evolution of diffusive phase transition processe
Externí odkaz:
http://arxiv.org/abs/2402.18506
This work investigates the well-posedness and optimal control of a sixth-order Cahn-Hilliard equation, a higher-order variant of the celebrated and well-established Cahn-Hilliard equation. The equation is endowed with a source term, where the control
Externí odkaz:
http://arxiv.org/abs/2401.05189
In this paper, we address a distributed control problem for a system of partial differential equations describing the evolution of a tumor that takes the biological mechanism of chemotaxis into account. The system describing the evolution is obtained
Externí odkaz:
http://arxiv.org/abs/2309.09052
Autor:
Sprekels, Jürgen, Tröltzsch, Fredi
This paper treats a distributed optimal control problem for a tumor growth model of viscous Cahn--Hilliard type. The evolution of the tumor fraction is governed by a thermodynamic force induced by a double-well potential of logarithmic type. The cost
Externí odkaz:
http://arxiv.org/abs/2306.06389
Autor:
Sprekels, Jürgen, Tröltzsch, Fredi
In this paper we study the optimal control of a parabolic initial-boundary value problem of Allen--Cahn type with dynamic boundary conditions. Phase field systems of this type govern the evolution of coupled diffuse phase transition processes with no
Externí odkaz:
http://arxiv.org/abs/2303.16708
In this note, we study the optimal control of a nonisothermal phase field system of Cahn-Hilliard type that constitutes an extension of the classical Caginalp model for nonisothermal phase transitions with a conserved order parameter. It couples a Ca
Externí odkaz:
http://arxiv.org/abs/2303.13266