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Homepage at Uni Regensburg

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Scopus Author ID: 57203459626
ResearcherID: AAC-5198-2019

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Germany

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Employment (3)

Universität Regensburg: Regensburg, Bayern, DE

2018-04-01 to present | Scientific Assistant (PostDoc) (Department of Mathematics)
Employment
Source: Self-asserted source
Patrik Knopf

Universität Bayreuth: Bayreuth, Bayern, DE

2017-10-01 to 2018-03-31 | Scientific Assistant (PostDoc) (Department of Mathematics, , Chair Mathematics VI)
Employment
Source: Self-asserted source
Patrik Knopf

Universität Bayreuth: Bayreuth, Bayern, DE

2013-10-01 to 2017-09-30 | Scientific Assistant (Doctoral Student) (Department of Mathematics, Chair Mathematics VI)
Employment
Source: Self-asserted source
Patrik Knopf

Education and qualifications (3)

Universität Bayreuth: Bayreuth, Bayern, DE

2013-10-01 to 2017-09-18 | Dr. rer. nat. (Department of Mathematics)
Education
Source: Self-asserted source
Patrik Knopf

Universität Bayreuth: Bayreuth, Bayern, DE

2011-04-01 to 2013-09-27 | M.Sc. (Department of Mathematics, Chair Mathematics VI)
Education
Source: Self-asserted source
Patrik Knopf

Universität Bayreuth: Bayreuth, Bayern, DE

2008-10-01 to 2011-09-27 | B.Sc. (Department of Mathematics, Chair Mathematics VI)
Education
Source: Self-asserted source
Patrik Knopf

Works (19)

Two-phase flows through porous media described by a Cahn–Hilliard–Brinkman model with dynamic boundary conditions

Journal of Evolution Equations
2024-12 | Journal article
DOI: 10.1007/s00028-024-00999-y
Contributors: Pierluigi Colli; Patrik Knopf; Giulio Schimperna; Andrea Signori
Source: check_circle
Crossref

Nonlocal-to-local convergence rates for strong solutions to a Navier-Stokes-Cahn-Hilliard system with singular potential

Communications in Partial Differential Equations
2024-09 | Journal article
DOI: 10.1080/03605302.2024.2401445
Contributors: Christoph Hurm; Patrik Knopf; Andrea Poiatti
Source: check_circle
Crossref

Controlling a Vlasov–Poisson Plasma by a Particle-in-Cell Method Based on a Monte Carlo Framework

SIAM Journal on Control and Optimization
2024-08-31 | Journal article
DOI: 10.1137/23M1563852
Contributors: Jan Bartsch; Patrik Knopf; Stefania Scheurer; Jörg Weber
Source: check_circle
Crossref

Sharp-Interface Limit of a Multi-phase Spectral Shape Optimization Problem for Elastic Structures

Applied Mathematics & Optimization
2024-02 | Journal article
DOI: 10.1007/s00245-023-10093-3
Contributors: Harald Garcke; Paul Hüttl; Christian Kahle; Patrik Knopf
Source: check_circle
Crossref

Phase-field methods for spectral shape and topology optimization

ESAIM: Control, Optimisation and Calculus of Variations
2023 | Journal article
DOI: 10.1051/cocv/2022090
Contributors: Harald Garcke; Paul Hüttl; Christian Kahle; Patrik Knopf; Tim Laux
Source: check_circle
Crossref

Two-Phase Flows with Bulk–Surface Interaction: Thermodynamically Consistent Navier–Stokes–Cahn–Hilliard Models with Dynamic Boundary Conditions

Journal of Mathematical Fluid Mechanics
2023-08 | Journal article
DOI: 10.1007/s00021-023-00811-w
Contributors: Andrea Giorgini; Patrik Knopf
Source: check_circle
Crossref

Strong well-posedness, stability and optimal control theory for a mathematical model for magneto-viscoelastic fluids

Calculus of Variations and Partial Differential Equations
2022-10 | Journal article
DOI: 10.1007/s00526-022-02271-y
Contributors: Harald Garcke; Patrik Knopf; Sourav Mitra; Anja Schlömerkemper
Source: check_circle
Crossref

On the two and one-half dimensional Vlasov–Poisson system with an external magnetic field: Global well-posedness and stability of confined steady states

Nonlinear Analysis: Real World Applications
2022-06 | Journal article
DOI: 10.1016/j.nonrwa.2021.103460
Contributors: Patrik Knopf; Jörg Weber
Source: check_circle
Crossref

Existence of weak solutions to multiphase Cahn–Hilliard–Darcy and Cahn–Hilliard–Brinkman models for stratified tumor growth with chemotaxis and general source terms

Communications in Partial Differential Equations
2022-02-01 | Journal article
DOI: 10.1080/03605302.2021.1966803
Contributors: Patrik Knopf; Andrea Signori
Source: check_circle
Crossref

On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and boundary penalization

Journal of Differential Equations
2021-04 | Journal article
DOI: 10.1016/j.jde.2021.01.012
Contributors: Patrik Knopf; Andrea Signori
Source: check_circle
Crossref

Phase-field dynamics with transfer of materials: The Cahn–Hilliard equation with reaction rate dependent dynamic boundary conditions

ESAIM: Mathematical Modelling and Numerical Analysis
2021-01 | Journal article
DOI: 10.1051/m2an/2020090
Contributors: Patrik Knopf; Kei Fong Lam; Chun Liu; Stefan Metzger
Source: check_circle
Crossref

Convergence of a Robin boundary approximation for a Cahn–Hilliard system with dynamic boundary conditions

Nonlinearity
2020-08-01 | Journal article
DOI: 10.1088/1361-6544/ab8351
Contributors: Patrik Knopf; Kei Fong Lam
Source: check_circle
Crossref

Stratified periodic water waves with singular density gradients

Annali di Matematica Pura ed Applicata (1923 -)
2020-02-08 | Journal article
DOI: 10.1007/s10231-020-00950-1
Part of ISSN: 0373-3114
Part of ISSN: 1618-1891
Source: Self-asserted source
Patrik Knopf

Weak Solutions of the Cahn--Hilliard System with Dynamic Boundary Conditions: A Gradient Flow Approach

SIAM Journal on Mathematical Analysis
2020-01 | Journal article
DOI: 10.1137/19M1258840
Contributors: Harald Garcke; Patrik Knopf
Source: check_circle
Crossref

Optimal control theory and advanced optimality conditions for a diffuse interface model of tumor growth

ESAIM: Control, Optimisation and Calculus of Variations
2019-09-24 | Journal article
DOI: 10.1051/cocv/2019059
Part of ISSN: 1292-8119
Part of ISSN: 1262-3377
Source: Self-asserted source
Patrik Knopf
grade
Preferred source (of 2)‎

Optimal medication for tumors modeled by a Cahn–Hilliard–Brinkman equation

Calculus of Variations and Partial Differential Equations
2019-08 | Journal article
DOI: 10.1007/s00526-019-1579-z
Part of ISSN: 0944-2669
Part of ISSN: 1432-0835
Source: Self-asserted source
Patrik Knopf

Confined steady states of a Vlasov‐Poisson plasma in an infinitely long cylinder

Mathematical Methods in the Applied Sciences
2019-07-23 | Journal article
DOI: 10.1002/mma.5728
Part of ISSN: 0170-4214
Part of ISSN: 1099-1476
Source: Self-asserted source
Patrik Knopf
grade
Preferred source (of 2)‎

Optimal control of a Vlasov–Poisson plasma by an external magnetic field

Calculus of Variations and Partial Differential Equations
2018 | Journal article
DOI: 10.1007/s00526-018-1407-x
EID:

2-s2.0-85051776876
Contributors: Knopf, P.
Source: Self-asserted source
Patrik Knopf via Scopus - Elsevier

Optimal Control of a Vlasov–Poisson Plasma by Fixed Magnetic Field Coils

Applied Mathematics and Optimization
2018 | Journal article
DOI: 10.1007/s00245-018-9526-5
EID:

2-s2.0-85053860759
Contributors: Knopf, P.; Weber, J.
Source: Self-asserted source
Patrik Knopf via Scopus - Elsevier

Peer review (17 reviews for 11 publications/grants)

Review activity for Acta applicandae mathematicae. (1)
Review activity for Acta Mathematica Scientia. (1)
Review activity for Annals of PDE. (1)
Review activity for Applied mathematics & optimization. (5)
Review activity for Journal of differential equations. (2)
Review activity for Journal of dynamical and control systems. (1)
Review activity for Journal of mathematical physics. (1)
Review activity for Journal of optimization theory and applications. (1)
Review activity for Mathematische Annalen. (2)
Review activity for SIAM journal on control and optimization. (1)
Review activity for SIAM journal on mathematical analysis. (1)
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