Found 65 Documents (Results 1–65)
Optimality conditions for sparse optimal control of viscous Cahn-Hilliard systems with logarithmic potential. (English) Zbl 07930230
Optimal distributed control of the viscous Cahn-Hilliard-Oono system with chemotaxis. (English) Zbl 07923325
Interfaces, free boundaries and geometric partial differential equations. Abstracts from the workshop held February 11–16, 2024. (English) Zbl 07921242
Existence and uniqueness of solution to unsteady Darcy-Brinkman problem with Korteweg stress for modelling miscible porous media flow. (English) Zbl 07905798
Optimal distributed control for a Cahn-Hilliard-Darcy system with mass sources, unmatched viscosities and singular potential. (English) Zbl 07891424
Analysis of a multi-species Cahn-Hilliard-Keller-Segel tumor growth model with chemotaxis and angiogenesis. (English) Zbl 1542.35115
On a Navier-Stokes-Cahn-Hilliard system for viscous incompressible two-phase flows with chemotaxis, active transport and reaction. (English) Zbl 1542.35313
Optimal distributed control for a Cahn-Hilliard type phase field system related to tumor growth. (English) Zbl 1542.35397
Highly efficient, robust and unconditionally energy stable second order schemes for approximating the Cahn-Hilliard-Brinkman system. (English) Zbl 07859300
Optimal control of a phase field tumor growth model with chemotaxis and active transport. (English) Zbl 1535.35184
Approximation and existence of a viscoelastic phase-field model for tumour growth in two and three dimensions. (English) Zbl 1539.92035
Second-order sufficient conditions in the sparse optimal control of a phase field tumor growth model with logarithmic potential. (English) Zbl 1534.35244
Nutrient control for a viscous Cahn-Hilliard-Keller-Segel model with logistic source describing tumor growth. (English) Zbl 1532.35278
Cahn-Hilliard-Brinkman model for tumor growth with possibly singular potentials. (English) Zbl 1521.35101
Existence analysis for a reaction-diffusion Cahn-Hilliard-type system with degenerate mobility and singular potential modeling biofilm growth. (English) Zbl 1519.35202
A decreasing upper bound of the energy for time-fractional phase-field equations. (English) Zbl 1514.65105
From Vlasov equation to degenerate nonlocal Cahn-Hilliard equation. (English) Zbl 1522.35506
Reviewer: Changxing Miao (Beijing)
Tumor evolution models of phase-field type with nonlocal effects and angiogenesis. (English) Zbl 1514.92027
Optimal control of the 3D damped Navier-Stokes-Voigt equations with control constraints. (English) Zbl 1503.49004
Optimal control of an Allen-Cahn model for tumor growth through supply of cytotoxic drugs. (English) Zbl 1514.92039
Global existence and blow up of solutions for a class of coupled parabolic systems with logarithmic nonlinearity. (English) Zbl 1510.35067
Two boundary coupling approaches for synchronization of stochastic reaction-diffusion neural networks based on semi-linear PIDEs. (English) Zbl 1504.93323
Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. (English) Zbl 1527.92002
J. Numer. Math. 30, No. 4, 295-324 (2022); corrigendum ibid. 32, No. 2, 213-214 (2024).
Strong well-posedness and inverse identification problem of a non-local phase field tumour model with degenerate mobilities. (English) Zbl 1504.35128
A fully-decoupled discontinuous Galerkin approximation of the Cahn-Hilliard-Brinkman-Ohta-Kawasaki tumor growth model. (English) Zbl 1503.65255
A nonnegativity preserving scheme for the relaxed Cahn-Hilliard equation with single-well potential and degenerate mobility. (English) Zbl 1498.35548
Well-posedness for a class of phase-field systems modeling prostate cancer growth with fractional operators and general nonlinearities. (English) Zbl 1493.35123
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 1, 193-228 (2022).
Optimal control problems with sparsity for tumor growth models involving variational inequalities. (English) Zbl 1492.92014
Long time dynamics of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects. (English) Zbl 1496.35394
Reviewer: Catalin Popa (Iaşi)
On some inverse problem for bi-parabolic equation with observed data in \(L^p\) spaces. (English) Zbl 1484.35417
Existence of weak solutions to multiphase Cahn-Hilliard-Darcy and Cahn-Hilliard-Brinkman models for stratified tumor growth with chemotaxis and general source terms. (English) Zbl 1484.35148
A stabilized hybrid discontinuous Galerkin method for the Cahn-Hilliard equation. (English) Zbl 1484.65229
On the existence of strong solutions to the Cahn-Hilliard-Darcy system with mass source. (English) Zbl 1482.35071
Global and exponential attractors for a Cahn-Hilliard equation with logarithmic potentials and mass source. (English) Zbl 1481.35076
Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility. (English) Zbl 1504.35076
Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis. (English) Zbl 1482.35277
Second-order analysis of an optimal control problem in a phase field tumor growth model with singular potentials and chemotaxis. (English) Zbl 1473.49053
Global well-posedness of a Navier-Stokes-Cahn-Hilliard system with chemotaxis and singular potential in 2D. (English) Zbl 1470.35362
Reviewer: Piotr Biler (Wrocław)
Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials. (English) Zbl 1486.35392
Appl. Math. Optim. 83, No. 3, 2017-2049 (2021); correction ibid. 84, No. 3, 3569-3570 (2021).
Reviewer: Alain Brillard (Riedisheim)
Penalisation of long treatment time and optimal control of a tumour growth model of Cahn-Hilliard type with singular potential. (English) Zbl 1470.35369
On a class of non-local phase-field models for tumor growth with possibly singular potentials, chemotaxis, and active transport. (English) Zbl 1468.35217
Global weak solutions to a Navier-Stokes-Cahn-Hilliard system with chemotaxis and singular potential. (English) Zbl 1464.35058
Long-time dynamics and optimal control of a diffuse interface model for tumor growth. (English) Zbl 1464.35357
Nonlocal Cahn-Hilliard-Brinkman system with regular potential: regularity and optimal control. (English) Zbl 1468.35027
Reviewer: Joseph Shomberg (Providence)
Incompressible limit for a two-species model with coupling through Brinkman’s law in any dimension. (English. French summary) Zbl 1458.35421
Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms. (English) Zbl 1456.76139
On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects. (English) Zbl 1456.35091
Reviewer: Joseph Shomberg (Providence)
Weak and stationary solutions to a Cahn-Hilliard-Brinkman model with singular potentials and source terms. (English) Zbl 1440.35190
Asymptotic analysis of a tumor growth model with fractional operators. (English) Zbl 1476.35284
Reviewer: Catalin Popa (Iaşi)
Optimal control theory and advanced optimality conditions for a diffuse interface model of tumor growth. (English) Zbl 1451.35233
Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme. (English) Zbl 1453.35032
Reviewer: Vyacheslav I. Maksimov (Yekaterinburg)
Optimality conditions for an extended tumor growth model with double obstacle potential via deep quench approach. (English) Zbl 1431.35079
Well-posedness for the Brinkman-Cahn-Hilliard system with unmatched viscosities. (English) Zbl 1434.35087
On the unsteady Darcy-Forchheimer-Brinkman equation in local and nonlocal tumor growth models. (English) Zbl 1425.35076
Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation. (English) Zbl 1425.35075
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