Carrillo, José A.; Dębiec, Tomasz; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka Dissipative measure-valued solutions to the Euler-Poisson equation. (English) Zbl 07785720 SIAM J. Math. Anal. 56, No. 1, 304-335 (2024). MSC: 35Q31 35Q35 76N10 35A01 35A02 35R06 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., SIAM J. Math. Anal. 56, No. 1, 304--335 (2024; Zbl 07785720) Full Text: DOI arXiv
Chakib, Abdelkrim; Khalil, Ibrahim; Ouaissa, Hamid; Sadik, Azeddine On a numerical approach for solving some geometrical shape optimization problems in fluid mechanics. (English) Zbl 07784297 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107651, 24 p. (2024). MSC: 76-XX PDFBibTeX XMLCite \textit{A. Chakib} et al., Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107651, 24 p. (2024; Zbl 07784297) Full Text: DOI
Hintermüller, Michael; Keil, Tobias Strong stationarity conditions for the optimal control of a Cahn-Hilliard-Navier-Stokes system. (English) Zbl 07783074 Appl. Math. Optim. 89, No. 1, Paper No. 12, 28 p. (2024). MSC: 49K20 35Q30 49J40 35J87 90C46 76T10 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{T. Keil}, Appl. Math. Optim. 89, No. 1, Paper No. 12, 28 p. (2024; Zbl 07783074) Full Text: DOI
Deugoué, G.; Ngana, A. Ndongmo; Tachim Medjo, T. Exponential stability and stabilization of a stochastic 2D nonlocal Cahn-Hilliard-Navier-Stokes equations with multiplicative noise. (English) Zbl 07781618 J. Differ. Equations 381, 48-100 (2024). MSC: 35R60 35B40 35Q35 60H15 76M35 86A05 PDFBibTeX XMLCite \textit{G. Deugoué} et al., J. Differ. Equations 381, 48--100 (2024; Zbl 07781618) Full Text: DOI
Dang Thanh Son; Nguyen Duong Toan Time optimal control problem of the 2D MHD equations with memory. (English) Zbl 07785800 J. Dyn. Control Syst. 29, No. 4, 1323-1355 (2023). MSC: 76D55 35Q35 49J20 49K20 PDFBibTeX XMLCite \textit{Dang Thanh Son} and \textit{Nguyen Duong Toan}, J. Dyn. Control Syst. 29, No. 4, 1323--1355 (2023; Zbl 07785800) Full Text: DOI
Pandolfi, A.; Stainier, L.; Ortiz, M. An optimal-transport finite-particle method for mass diffusion. (English) Zbl 07761344 Comput. Methods Appl. Mech. Eng. 416, Article ID 116385, 17 p. (2023). MSC: 82-XX 76-XX PDFBibTeX XMLCite \textit{A. Pandolfi} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116385, 17 p. (2023; Zbl 07761344) Full Text: DOI arXiv
Julin, Vesa; Morini, Massimiliano; Ponsiglione, Marcello; Spadaro, Emanuele The asymptotics of the area-preserving mean curvature and the Mullins-Sekerka flow in two dimensions. (English) Zbl 07758183 Math. Ann. 387, No. 3-4, 1969-1999 (2023). MSC: 76M30 76T99 49Q10 51M16 PDFBibTeX XMLCite \textit{V. Julin} et al., Math. Ann. 387, No. 3--4, 1969--1999 (2023; Zbl 07758183) Full Text: DOI arXiv OA License
Chakib, Abdelkrim; Khalil, Ibrahim; Ouaissa, Hamid; Sadik, Azeddine On an effective approach in shape optimization problem for Stokes equation. (English) Zbl 1527.49032 Optim. Lett. 17, No. 6, 1487-1494 (2023). MSC: 49Q10 49M41 49Q12 76D55 PDFBibTeX XMLCite \textit{A. Chakib} et al., Optim. Lett. 17, No. 6, 1487--1494 (2023; Zbl 1527.49032) Full Text: DOI
Dziri, Raja Optimal tubes for non-cylindrical Navier-Stokes flows with Navier boundary condition. (English) Zbl 1516.76024 Evol. Equ. Control Theory 12, No. 3, 1014-1038 (2023). MSC: 76D55 76D05 76M30 35Q30 PDFBibTeX XMLCite \textit{R. Dziri}, Evol. Equ. Control Theory 12, No. 3, 1014--1038 (2023; Zbl 1516.76024) Full Text: DOI
Peralta, Gilbert Optimal Borel measure-valued controls to the viscous Cahn-Hilliard-Oberbeck-Boussinesq phase-field system on two-dimensional bounded domains. (English) Zbl 1514.35446 ESAIM, Control Optim. Calc. Var. 29, Paper No. 32, 43 p. (2023). MSC: 35Q93 35Q35 49K20 49M41 76D55 76T06 35B65 35B45 35K35 35K58 35R06 PDFBibTeX XMLCite \textit{G. Peralta}, ESAIM, Control Optim. Calc. Var. 29, Paper No. 32, 43 p. (2023; Zbl 1514.35446) Full Text: DOI
Zhao, Xiaopeng Optimal distributed control of two-dimensional Navier-Stokes-Cahn-Hilliard system with chemotaxis and singular potential. (English) Zbl 1520.76109 Appl. Math. Optim. 88, No. 1, Paper No. 2, 37 p. (2023). MSC: 76Z05 76D55 76T06 76D05 92C17 PDFBibTeX XMLCite \textit{X. Zhao}, Appl. Math. Optim. 88, No. 1, Paper No. 2, 37 p. (2023; Zbl 1520.76109) Full Text: DOI
Lienstromberg, Christina; Schiffer, Stefan; Schubert, Richard A data-driven approach to viscous fluid mechanics: the stationary case. (English) Zbl 1520.76072 Arch. Ration. Mech. Anal. 247, No. 2, Paper No. 30, 63 p. (2023). MSC: 76M99 76D99 76M30 PDFBibTeX XMLCite \textit{C. Lienstromberg} et al., Arch. Ration. Mech. Anal. 247, No. 2, Paper No. 30, 63 p. (2023; Zbl 1520.76072) Full Text: DOI arXiv
Sin, Cholmin Global higher integrability for symmetric \(p(x, t)\)-Laplacian system. (English) Zbl 1506.35039 Mediterr. J. Math. 20, No. 1, Paper No. 37, 29 p. (2023). MSC: 35D30 35D35 35K20 35K92 76D03 76A05 PDFBibTeX XMLCite \textit{C. Sin}, Mediterr. J. Math. 20, No. 1, Paper No. 37, 29 p. (2023; Zbl 1506.35039) Full Text: DOI
Dolce, Michele; Drivas, Theodore D. On maximally mixed equilibria of two-dimensional perfect fluids. (English) Zbl 1523.35243 Arch. Ration. Mech. Anal. 246, No. 2-3, 735-770 (2022). MSC: 35Q31 76B03 35A01 35A02 35B65 49M41 PDFBibTeX XMLCite \textit{M. Dolce} and \textit{T. D. Drivas}, Arch. Ration. Mech. Anal. 246, No. 2--3, 735--770 (2022; Zbl 1523.35243) Full Text: DOI arXiv
Boulmezaoud, Tahar Z.; Khouider, Boualem A new mathematical formulation of the equations of perfect elasto-plasticity. (English) Zbl 1502.74016 Z. Angew. Math. Phys. 73, No. 6, Paper No. 246, 23 p. (2022). MSC: 74C05 76A20 PDFBibTeX XMLCite \textit{T. Z. Boulmezaoud} and \textit{B. Khouider}, Z. Angew. Math. Phys. 73, No. 6, Paper No. 246, 23 p. (2022; Zbl 1502.74016) Full Text: DOI
Bathory, Michal; Stefanelli, Ulisse Variational resolution of outflow boundary conditions for incompressible Navier-Stokes. (English) Zbl 1504.35288 Nonlinearity 35, No. 11, 5553-5592 (2022). MSC: 35Q35 76D05 76A05 35A15 35B30 35B65 35D30 49J40 49M41 PDFBibTeX XMLCite \textit{M. Bathory} and \textit{U. Stefanelli}, Nonlinearity 35, No. 11, 5553--5592 (2022; Zbl 1504.35288) Full Text: DOI arXiv
Alduncin, Gonzalo Macro-hybrid dual optimal control of transport flow through elastoviscoplastic porous media. (English) Zbl 1486.49023 Acta Appl. Math. 178, Paper No. 9, 24 p. (2022). MSC: 49J53 49N15 49M27 74F10 74C05 76S05 PDFBibTeX XMLCite \textit{G. Alduncin}, Acta Appl. Math. 178, Paper No. 9, 24 p. (2022; Zbl 1486.49023) Full Text: DOI
Chaudhuri, Nilasis Multiple scales and singular limits of perfect fluids. (English) Zbl 1487.76066 J. Evol. Equ. 22, No. 1, Paper No. 5, 32 p. (2022). Reviewer: Václav Mácha (Praha) MSC: 76N10 76U05 35Q31 35Q30 PDFBibTeX XMLCite \textit{N. Chaudhuri}, J. Evol. Equ. 22, No. 1, Paper No. 5, 32 p. (2022; Zbl 1487.76066) Full Text: DOI arXiv
Muratov, Cyrill B.; Novaga, Matteo; Ruffini, Berardo Conducting flat drops in a confining potential. (English) Zbl 1489.49025 Arch. Ration. Mech. Anal. 243, No. 3, 1773-1810 (2022). Reviewer: Luca Esposito (Fisciano) MSC: 49Q10 49Q20 49S05 76M30 PDFBibTeX XMLCite \textit{C. B. Muratov} et al., Arch. Ration. Mech. Anal. 243, No. 3, 1773--1810 (2022; Zbl 1489.49025) Full Text: DOI arXiv
Vorotnikov, Dmitry Partial differential equations with quadratic nonlinearities viewed as matrix-valued optimal ballistic transport problems. (English) Zbl 1508.35051 Arch. Ration. Mech. Anal. 243, No. 3, 1653-1698 (2022). MSC: 35Q31 35Q53 76W05 76B03 76A10 35B65 35D30 35A15 49Q22 49Q20 58B20 PDFBibTeX XMLCite \textit{D. Vorotnikov}, Arch. Ration. Mech. Anal. 243, No. 3, 1653--1698 (2022; Zbl 1508.35051) Full Text: DOI arXiv
Clark, Ed; Katzourakis, Nikos; Muha, Boris Vectorial variational problems in \(L^\infty\) constrained by the Navier-Stokes equations. (English) Zbl 1481.35307 Nonlinearity 35, No. 1, 470-491 (2022). MSC: 35Q30 35D35 35A15 76D05 49J40 49K20 49K35 49M41 PDFBibTeX XMLCite \textit{E. Clark} et al., Nonlinearity 35, No. 1, 470--491 (2022; Zbl 1481.35307) Full Text: DOI arXiv
Woźnicki, Jakub Weak-strong uniqueness for a class of generalized dissipative weak solutions for non-homogeneous, non-Newtonian and incompressible fluids. (English) Zbl 1502.35131 Nonlinear Anal., Real World Appl. 64, Article ID 103426, 16 p. (2022). MSC: 35Q35 76A05 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{J. Woźnicki}, Nonlinear Anal., Real World Appl. 64, Article ID 103426, 16 p. (2022; Zbl 1502.35131) Full Text: DOI
Biswas, Tania; Dharmatti, Sheetal; Mohan, Manil T.; Perisetti, Lakshmi Naga Mahendranath On the stationary nonlocal Cahn-Hilliard-Navier-Stokes system: existence, uniqueness and exponential stability. (English) Zbl 1510.35231 Asymptotic Anal. 125, No. 1-2, 59-99 (2021). MSC: 35Q35 76D05 76V05 35B65 35B35 35A01 35A02 35D30 PDFBibTeX XMLCite \textit{T. Biswas} et al., Asymptotic Anal. 125, No. 1--2, 59--99 (2021; Zbl 1510.35231) Full Text: DOI arXiv
Hintermüller, Michael; Keil, Tobias Optimal control of geometric partial differential equations. (English) Zbl 1475.49005 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part 2. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 22, 213-270 (2021). MSC: 49J20 49K20 49J40 35J87 35Q93 35Q35 35R35 90C33 90C46 76D45 76T10 65K10 65K15 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{T. Keil}, Handb. Numer. Anal. 22, 213--270 (2021; Zbl 1475.49005) Full Text: DOI
Lasarzik, Robert Analysis of a thermodynamically consistent Navier-Stokes-Cahn-Hilliard model. (English) Zbl 1479.35676 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 213, Article ID 112526, 33 p. (2021). MSC: 35Q35 35D35 76D05 35A01 35B65 PDFBibTeX XMLCite \textit{R. Lasarzik}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 213, Article ID 112526, 33 p. (2021; Zbl 1479.35676) Full Text: DOI arXiv
Breit, D.; Moyo, T. C. Dissipative solutions to the stochastic Euler equations. (English) Zbl 1471.60096 J. Math. Fluid Mech. 23, No. 3, Paper No. 80, 23 p. (2021). MSC: 60H15 35R60 76B03 35Q31 76D05 35D40 PDFBibTeX XMLCite \textit{D. Breit} and \textit{T. C. Moyo}, J. Math. Fluid Mech. 23, No. 3, Paper No. 80, 23 p. (2021; Zbl 1471.60096) Full Text: DOI arXiv
Tan, Zhong; Wu, Zhonger; Xie, Minghong Solution semiflow to the compressible Euler equations with damping. (English) Zbl 1473.35428 J. Math. Anal. Appl. 503, No. 1, Article ID 125313, 20 p. (2021). MSC: 35Q31 76N10 76N15 76S05 76M60 35A01 PDFBibTeX XMLCite \textit{Z. Tan} et al., J. Math. Anal. Appl. 503, No. 1, Article ID 125313, 20 p. (2021; Zbl 1473.35428) Full Text: DOI
Caggio, Matteo; Ducomet, Bernard; Nečasová, Šárka; Tang, Tong Low Mach and thin domain limit for the compressible Euler system. (English) Zbl 1472.35275 Ann. Mat. Pura Appl. (4) 200, No. 4, 1469-1486 (2021). MSC: 35Q31 76N10 76N17 35R06 PDFBibTeX XMLCite \textit{M. Caggio} et al., Ann. Mat. Pura Appl. (4) 200, No. 4, 1469--1486 (2021; Zbl 1472.35275) Full Text: DOI arXiv
Söliver, Benjamin; Junge, Oliver A convergent Lagrangian discretization for \(p\)-Wasserstein and flux-limited diffusion equations. (English) Zbl 1466.65081 Commun. Pure Appl. Anal. 19, No. 9, 4227-4256 (2020). MSC: 65M06 65N06 65M12 76Y05 35B40 35R60 PDFBibTeX XMLCite \textit{B. Söliver} and \textit{O. Junge}, Commun. Pure Appl. Anal. 19, No. 9, 4227--4256 (2020; Zbl 1466.65081) Full Text: DOI arXiv
Biswas, Tania; Dharmatti, Sheetal; Mohan, Manil T. Pontryagin maximum principle and second order optimality conditions for optimal control problems governed by 2D nonlocal Cahn-Hilliard-Navier-Stokes equations. (English) Zbl 1462.49008 Analysis, München 40, No. 3, 127-150 (2020). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 49J20 35Q35 76D03 49K15 PDFBibTeX XMLCite \textit{T. Biswas} et al., Analysis, München 40, No. 3, 127--150 (2020; Zbl 1462.49008) Full Text: DOI arXiv
Basarić, Danica Vanishing viscosity limit for the compressible Navier-Stokes system via measure-valued solutions. (English) Zbl 1465.35330 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 6, Paper No. 57, 30 p. (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 35Q31 76N10 35A02 PDFBibTeX XMLCite \textit{D. Basarić}, NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 6, Paper No. 57, 30 p. (2020; Zbl 1465.35330) Full Text: DOI arXiv
Breit, Dominic; Feireisl, Eduard; Hofmanová, Martina Generalized solutions to models of inviscid fluids. (English) Zbl 1452.35136 Discrete Contin. Dyn. Syst., Ser. B 25, No. 10, 3831-3842 (2020). MSC: 35Q31 35D30 35A01 76N06 PDFBibTeX XMLCite \textit{D. Breit} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 10, 3831--3842 (2020; Zbl 1452.35136) Full Text: DOI arXiv
Feireisl, Eduard; Hofmanová, Martina On convergence of approximate solutions to the compressible Euler system. (English) Zbl 1448.35375 Ann. PDE 6, No. 2, Paper No. 11, 24 p. (2020). MSC: 35Q31 76N10 35D30 35B40 PDFBibTeX XMLCite \textit{E. Feireisl} and \textit{M. Hofmanová}, Ann. PDE 6, No. 2, Paper No. 11, 24 p. (2020; Zbl 1448.35375) Full Text: DOI arXiv
Nečasová, Šárka; Tang, Tong On a singular limit for the compressible rotating Euler system. (English) Zbl 1448.35368 J. Math. Fluid Mech. 22, No. 3, Paper No. 43, 14 p. (2020). MSC: 35Q30 35Q86 76N06 76U60 76U65 76Q05 86A05 PDFBibTeX XMLCite \textit{Š. Nečasová} and \textit{T. Tang}, J. Math. Fluid Mech. 22, No. 3, Paper No. 43, 14 p. (2020; Zbl 1448.35368) Full Text: DOI arXiv
Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; Mizerová, Hana Convergence of finite volume schemes for the Euler equations via dissipative measure-valued solutions. (English) Zbl 1447.65050 Found. Comput. Math. 20, No. 4, 923-966 (2020). MSC: 65M08 65M12 76N10 35L65 35R06 35Q31 PDFBibTeX XMLCite \textit{E. Feireisl} et al., Found. Comput. Math. 20, No. 4, 923--966 (2020; Zbl 1447.65050) Full Text: DOI arXiv
Dambrine, Julien; Pierre, Morgan Regularity of optimal ship forms based on Michell’s wave resistance. (English) Zbl 1443.49043 Appl. Math. Optim. 82, No. 1, 23-62 (2020). MSC: 49N60 76B75 49J40 49Q10 PDFBibTeX XMLCite \textit{J. Dambrine} and \textit{M. Pierre}, Appl. Math. Optim. 82, No. 1, 23--62 (2020; Zbl 1443.49043) Full Text: DOI HAL
Biswas, Tania; Dharmatti, Sheetal; Mohan, Manil T. Maximum principle for some optimal control problems governed by 2D nonlocal Cahn-Hillard-Navier-Stokes equations. (English) Zbl 1440.49003 J. Math. Fluid Mech. 22, No. 3, Paper No. 34, 42 p. (2020). MSC: 49J20 35Q35 76D03 49K15 49S05 58E30 PDFBibTeX XMLCite \textit{T. Biswas} et al., J. Math. Fluid Mech. 22, No. 3, Paper No. 34, 42 p. (2020; Zbl 1440.49003) Full Text: DOI arXiv
Frigeri, Sergio; Grasselli, Maurizio; Sprekels, Jürgen Optimal distributed control of two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems with degenerate mobility and singular potential. (English) Zbl 1440.35235 Appl. Math. Optim. 81, No. 3, 899-931 (2020). MSC: 35Q30 35R09 49J20 49J50 76T99 PDFBibTeX XMLCite \textit{S. Frigeri} et al., Appl. Math. Optim. 81, No. 3, 899--931 (2020; Zbl 1440.35235) Full Text: DOI arXiv
Panasenko, Grigory P.; Stavre, Ruxandra Viscous fluid-thin elastic plate interaction: asymptotic analysis with respect to the rigidity and density of the plate. (English) Zbl 1431.76101 Appl. Math. Optim. 81, No. 1, 141-194 (2020). MSC: 76M30 76M45 76D07 35Q35 PDFBibTeX XMLCite \textit{G. P. Panasenko} and \textit{R. Stavre}, Appl. Math. Optim. 81, No. 1, 141--194 (2020; Zbl 1431.76101) Full Text: DOI
Christof, Constantin Gradient-based solution algorithms for a class of bilevel optimization and optimal control problems with a nonsmooth lower level. (English) Zbl 1432.49007 SIAM J. Optim. 30, No. 1, 290-318 (2020). MSC: 49J40 49J52 49N45 68U10 76A05 90C33 PDFBibTeX XMLCite \textit{C. Christof}, SIAM J. Optim. 30, No. 1, 290--318 (2020; Zbl 1432.49007) Full Text: DOI
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a ‘deep quench’ approach. (English) Zbl 1418.49003 J. Convex Anal. 26, No. 2, 485-514 (2019). MSC: 49J20 49K20 74M15 35K86 76R05 82C26 80A22 PDFBibTeX XMLCite \textit{P. Colli} et al., J. Convex Anal. 26, No. 2, 485--514 (2019; Zbl 1418.49003) Full Text: arXiv Link
Alama, Stan; Bronsard, Lia; Choksi, Rustum; Topaloglu, Ihsan Droplet breakup in the liquid drop model with background potential. (English) Zbl 1422.49041 Commun. Contemp. Math. 21, No. 3, Article ID 1850022, 23 p. (2019). Reviewer: Konstantin Merz (München) MSC: 49Q20 76B45 35Q40 35Q70 49S05 82D10 PDFBibTeX XMLCite \textit{S. Alama} et al., Commun. Contemp. Math. 21, No. 3, Article ID 1850022, 23 p. (2019; Zbl 1422.49041) Full Text: DOI arXiv
Cavalletti, Fabio; Sedjro, Marc; Westdickenberg, Michael A variational time discretization for compressible Euler equations. (English) Zbl 1501.35287 Trans. Am. Math. Soc. 371, No. 7, 5083-5155 (2019). MSC: 35Q31 76N15 35L65 49J40 82C40 PDFBibTeX XMLCite \textit{F. Cavalletti} et al., Trans. Am. Math. Soc. 371, No. 7, 5083--5155 (2019; Zbl 1501.35287) Full Text: DOI arXiv
Feireisl, Eduard; Klingenberg, Christian; Markfelder, Simon On the low Mach number limit for the compressible Euler system. (English) Zbl 1420.35209 SIAM J. Math. Anal. 51, No. 2, 1496-1513 (2019). Reviewer: Guido Schneider (Stuttgart) MSC: 35Q31 35B25 35D99 76N99 PDFBibTeX XMLCite \textit{E. Feireisl} et al., SIAM J. Math. Anal. 51, No. 2, 1496--1513 (2019; Zbl 1420.35209) Full Text: DOI arXiv
Shahrokhi-Dehkordi, M. S. Spherical twists as the \(\sigma_{2}\) harmonic maps from \(n\)-dimensional annuli into \(\mathbb {S}^{n-1}\). (English) Zbl 1411.49003 Potential Anal. 50, No. 3, 327-345 (2019). MSC: 49J05 34B15 58E20 49N60 76A15 PDFBibTeX XMLCite \textit{M. S. Shahrokhi-Dehkordi}, Potential Anal. 50, No. 3, 327--345 (2019; Zbl 1411.49003) Full Text: DOI
Sin, Cholmin Boundary partial regularity for steady flows of electrorheological fluids in 3D bounded domains. (English) Zbl 1404.35079 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 179, 309-343 (2019). MSC: 35B65 35D30 35D35 76D03 76A05 PDFBibTeX XMLCite \textit{C. Sin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 179, 309--343 (2019; Zbl 1404.35079) Full Text: DOI
Lasarzik, Robert Measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank energy. (English) Zbl 1406.35285 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 179, 146-183 (2019). MSC: 35Q35 35K65 76A15 35D30 35B65 35R06 PDFBibTeX XMLCite \textit{R. Lasarzik}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 179, 146--183 (2019; Zbl 1406.35285) Full Text: DOI arXiv
Lasarzik, Robert Weak-strong uniqueness for measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank free energy. (English) Zbl 1400.35004 J. Math. Anal. Appl. 470, No. 1, 36-90 (2019). MSC: 35A02 76A15 35Q35 PDFBibTeX XMLCite \textit{R. Lasarzik}, J. Math. Anal. Appl. 470, No. 1, 36--90 (2019; Zbl 1400.35004) Full Text: DOI arXiv
Alam, Meraj; Dey, Bibaswan; Sekhar, G. P. Raja Mathematical analysis of hydrodynamics and tissue deformation inside an isolated solid tumor. (English) Zbl 1474.76108 Theor. Appl. Mech. (Belgrade) 45, No. 2, 253-278 (2018). MSC: 76Z05 92C35 76T30 35Q74 35D30 35C10 PDFBibTeX XMLCite \textit{M. Alam} et al., Theor. Appl. Mech. (Belgrade) 45, No. 2, 253--278 (2018; Zbl 1474.76108) Full Text: DOI
Ortiz, Michael; Schmidt, Bernd; Stefanelli, Ulisse A variational approach to Navier-Stokes. (English) Zbl 1406.35237 Nonlinearity 31, No. 12, 5664-5682 (2018). MSC: 35Q30 76D05 35A15 35D30 35B65 49J40 PDFBibTeX XMLCite \textit{M. Ortiz} et al., Nonlinearity 31, No. 12, 5664--5682 (2018; Zbl 1406.35237) Full Text: DOI arXiv
Coclite, G. M.; Paparella, F.; Pellegrino, S. F. On a salt fingers model. (English) Zbl 1397.35141 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 176, 100-116 (2018). MSC: 35K65 35K51 86A05 76B15 35Q35 PDFBibTeX XMLCite \textit{G. M. Coclite} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 176, 100--116 (2018; Zbl 1397.35141) Full Text: DOI
Hoeltgen, Laurent; Breuß, Michael; Herold, Gert; Sarradj, Ennes Sparse \(\ell_ {1}\) regularisation of matrix valued models for acoustic source characterisation. (English) Zbl 1393.94569 Optim. Eng. 19, No. 1, 39-70 (2018). MSC: 94A13 76Q05 65K10 PDFBibTeX XMLCite \textit{L. Hoeltgen} et al., Optim. Eng. 19, No. 1, 39--70 (2018; Zbl 1393.94569) Full Text: DOI arXiv
Christoforou, Cleopatra; Tzavaras, Athanasios E. Relative entropy for hyperbolic-parabolic systems and application to the constitutive theory of thermoviscoelasticity. (English) Zbl 1397.35302 Arch. Ration. Mech. Anal. 229, No. 1, 1-52 (2018). Reviewer: Kaïs Ammari (Monastir) MSC: 35Q74 35Q35 74F05 74A15 74D05 80A17 76A10 76N15 35L05 35M10 PDFBibTeX XMLCite \textit{C. Christoforou} and \textit{A. E. Tzavaras}, Arch. Ration. Mech. Anal. 229, No. 1, 1--52 (2018; Zbl 1397.35302) Full Text: DOI arXiv
Matejczyk, Bartłomiej; Wróblewska-Kamińska, Aneta Unsteady flows of heat-conducting non-Newtonian fluids in Musielak-Orlicz spaces. (English) Zbl 1388.35158 Nonlinearity 31, No. 3, 701-727 (2018). MSC: 35Q35 46E30 76A05 35D30 35B40 PDFBibTeX XMLCite \textit{B. Matejczyk} and \textit{A. Wróblewska-Kamińska}, Nonlinearity 31, No. 3, 701--727 (2018; Zbl 1388.35158) Full Text: DOI arXiv
Sin, Cholmin Global regularity of weak solutions for steady motions of electrorheological fluids in 3D smooth domain. (English) Zbl 1387.35082 J. Math. Anal. Appl. 461, No. 1, 752-776 (2018). MSC: 35B65 35Q35 35D30 35D35 76A99 PDFBibTeX XMLCite \textit{C. Sin}, J. Math. Anal. Appl. 461, No. 1, 752--776 (2018; Zbl 1387.35082) Full Text: DOI
Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias Fully adaptive and integrated numerical methods for the simulation and control of variable density multiphase flows governed by diffuse interface models. (English) Zbl 1391.76551 Bothe, Dieter (ed.) et al., Transport processes at fluidic interfaces. Basel: Birkhäuser/Springer (ISBN 978-3-319-56601-6/hbk; 978-3-319-56602-3/ebook). Advances in Mathematical Fluid Mechanics, 305-353 (2017). MSC: 76M25 76T10 76D55 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., in: Transport processes at fluidic interfaces. Basel: Birkhäuser/Springer. 305--353 (2017; Zbl 1391.76551) Full Text: DOI
Chertock, Alina; Degond, Pierre; Neusser, Jochen An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations. (English) Zbl 1375.76121 J. Comput. Phys. 335, 387-403 (2017). MSC: 76M25 76N99 PDFBibTeX XMLCite \textit{A. Chertock} et al., J. Comput. Phys. 335, 387--403 (2017; Zbl 1375.76121) Full Text: DOI arXiv
Girault, Vivette; Li, Jizhou; Rivière, Beatrice M. Strong convergence of the discontinuous Galerkin scheme for the low regularity miscible displacement equations. (English) Zbl 1457.76161 Numer. Methods Partial Differ. Equations 33, No. 2, 489-513 (2017). MSC: 76S05 35Q35 65M12 76M10 65M60 PDFBibTeX XMLCite \textit{V. Girault} et al., Numer. Methods Partial Differ. Equations 33, No. 2, 489--513 (2017; Zbl 1457.76161) Full Text: DOI
Bouchon, François; Peichl, Gunther H.; Sayeh, Mohamed; Touzani, Rachid A free boundary problem for the Stokes equations. (English) Zbl 1361.35209 ESAIM, Control Optim. Calc. Var. 23, No. 1, 195-215 (2017). MSC: 35R35 49Q10 35Q30 76D07 PDFBibTeX XMLCite \textit{F. Bouchon} et al., ESAIM, Control Optim. Calc. Var. 23, No. 1, 195--215 (2017; Zbl 1361.35209) Full Text: DOI
Feireisl, Eduard; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka; Wiedemann, Emil Dissipative measure-valued solutions to the compressible Navier-Stokes system. (English) Zbl 1360.35143 Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 141, 20 p. (2016). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 35A02 76N10 PDFBibTeX XMLCite \textit{E. Feireisl} et al., Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 141, 20 p. (2016; Zbl 1360.35143) Full Text: DOI arXiv
Calvo, J.; Campos, J.; Caselles, V.; Sánchez, O.; Soler, J. Pattern formation in a flux limited reaction-diffusion equation of porous media type. (English) Zbl 1388.35094 Invent. Math. 206, No. 1, 57-108 (2016). Reviewer: Dimitra Antonopoulou (Cheshire) MSC: 35K57 35B36 35K67 34Cxx 70Kxx 35B60 37Dxx 76B15 35Q35 37D50 35Q99 PDFBibTeX XMLCite \textit{J. Calvo} et al., Invent. Math. 206, No. 1, 57--108 (2016; Zbl 1388.35094) Full Text: DOI arXiv
Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka; Wiedemann, Emil Weak-strong uniqueness for measure-valued solutions of some compressible fluid models. (English) Zbl 1336.35291 Nonlinearity 28, No. 11, 3873-3890 (2015). Reviewer: Marin I. Marin (Braşov) MSC: 35Q35 35L45 35A02 35B40 35Q31 76N10 76T25 PDFBibTeX XMLCite \textit{P. Gwiazda} et al., Nonlinearity 28, No. 11, 3873--3890 (2015; Zbl 1336.35291) Full Text: DOI arXiv
Mácha, Václav; Tichý, Jakub Higher integrability of solutions to generalized Stokes system under perfect slip boundary conditions. (English) Zbl 1309.35089 J. Math. Fluid Mech. 16, No. 4, 823-845 (2014). MSC: 35Q35 76D03 76D07 PDFBibTeX XMLCite \textit{V. Mácha} and \textit{J. Tichý}, J. Math. Fluid Mech. 16, No. 4, 823--845 (2014; Zbl 1309.35089) Full Text: DOI
Sokołowski, Jan; Stebel, Jan Shape optimization for non-Newtonian fluids in time-dependent domains. (English) Zbl 1304.35507 Evol. Equ. Control Theory 3, No. 2, 331-348 (2014). MSC: 35Q30 76D55 35R37 76A05 35D30 PDFBibTeX XMLCite \textit{J. Sokołowski} and \textit{J. Stebel}, Evol. Equ. Control Theory 3, No. 2, 331--348 (2014; Zbl 1304.35507) Full Text: DOI
Diening, L.; Kaplický, P. \(L^q\) theory for a generalized Stokes system. (English) Zbl 1263.35175 Manuscr. Math. 141, No. 1-2, 333-361 (2013). MSC: 35Q30 76D03 35B65 35D30 PDFBibTeX XMLCite \textit{L. Diening} and \textit{P. Kaplický}, Manuscr. Math. 141, No. 1--2, 333--361 (2013; Zbl 1263.35175) Full Text: DOI
De Lellis, Camillo; Székelyhidi, László jun. The \(h\)-principle and the equations of fluid dynamics. (English) Zbl 1254.35180 Bull. Am. Math. Soc., New Ser. 49, No. 3, 347-375 (2012). MSC: 35Q31 76B03 76F02 35Q35 PDFBibTeX XMLCite \textit{C. De Lellis} and \textit{L. Székelyhidi jun.}, Bull. Am. Math. Soc., New Ser. 49, No. 3, 347--375 (2012; Zbl 1254.35180) Full Text: DOI arXiv
Bonzi, Bernard K.; Ouaro, Stanislas Entropy solutions for a doubly nonlinear elliptic problem with variable exponent. (English) Zbl 1200.35109 J. Math. Anal. Appl. 370, No. 2, 392-405 (2010). Reviewer: K. N. Shukla (Gurgaon) MSC: 35J60 35Q35 76W05 35J70 35J25 PDFBibTeX XMLCite \textit{B. K. Bonzi} and \textit{S. Ouaro}, J. Math. Anal. Appl. 370, No. 2, 392--405 (2010; Zbl 1200.35109) Full Text: DOI
Andreianov, B.; Bendahmane, M.; Ouaro, S. Structural stability for variable exponent elliptic problems. I: The \(p(x)\)-Laplacian kind problems. (English) Zbl 1191.35126 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 1, 2-24 (2010). MSC: 35J60 35D30 76A05 35B30 PDFBibTeX XMLCite \textit{B. Andreianov} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 1, 2--24 (2010; Zbl 1191.35126) Full Text: DOI
Gatmiri, Behrouz; Maghoul, Pooneh; Duhamel, Denis Two-dimensional transient thermo-hydro-mechanical fundamental solutions of multiphase porous media in frequency and time domains. (English) Zbl 1183.74057 Int. J. Solids Struct. 47, No. 5, 595-610 (2010). MSC: 74F10 76S05 74L10 86A05 PDFBibTeX XMLCite \textit{B. Gatmiri} et al., Int. J. Solids Struct. 47, No. 5, 595--610 (2010; Zbl 1183.74057) Full Text: DOI
Plakhov, Alexander Billiards and two-dimensional problems of optimal resistance. (English) Zbl 1273.76364 Arch. Ration. Mech. Anal. 194, No. 2, 349-381 (2009). MSC: 76N25 76M30 PDFBibTeX XMLCite \textit{A. Plakhov}, Arch. Ration. Mech. Anal. 194, No. 2, 349--381 (2009; Zbl 1273.76364) Full Text: DOI arXiv
El Jarroudi, M.; Brillard, A. Boundary asymptotic analysis for an incompressible viscous flow: Navier wall laws. (English) Zbl 1172.35053 Appl. Math. Optim. 57, No. 3, 371-400 (2008). Reviewer: Cheng He (Beijing) MSC: 35Q30 35B40 76D10 49J20 PDFBibTeX XMLCite \textit{M. El Jarroudi} and \textit{A. Brillard}, Appl. Math. Optim. 57, No. 3, 371--400 (2008; Zbl 1172.35053) Full Text: DOI arXiv
Jäger, W.; Schweizer, B. Microscopic interfaces in porous media. (English) Zbl 1398.76218 Jäger, Willi (ed.) et al., Reactive flows, diffusion and transport. From experiments via mathematical modeling to numerical simulation and optimization. Final report of SFB (Collaborative Research Center) 359. Berlin: Springer (ISBN 3-540-28379-X/hbk). 555-565 (2007). MSC: 76S05 76M50 PDFBibTeX XMLCite \textit{W. Jäger} and \textit{B. Schweizer}, in: Reactive flows, diffusion and transport. From experiments via mathematical modeling to numerical simulation and optimization. Final report of SFB (Collaborative Research Center) 359. Berlin: Springer. 555--565 (2007; Zbl 1398.76218) Full Text: DOI
Dziri, Raja; Moubachir, Marwan; Zolésio, Jean-Paul Dynamical shape gradient for the Navier-Stokes system. (English) Zbl 1043.49039 C. R., Math., Acad. Sci. Paris 338, No. 2, 183-186 (2004). MSC: 49Q10 35Q30 49K20 76D05 76D55 49Q12 PDFBibTeX XMLCite \textit{R. Dziri} et al., C. R., Math., Acad. Sci. Paris 338, No. 2, 183--186 (2004; Zbl 1043.49039) Full Text: DOI
Hintermüller, Michael Inverse coefficient problems for variational inequalities: Optimality conditions and numerical realization. (English) Zbl 0978.65054 M2AN, Math. Model. Numer. Anal. 35, No. 1, 129-152 (2001). Reviewer: V.Arnăutu (Iaşi) MSC: 65K10 49J40 49M30 76D08 76M30 49M15 49N45 PDFBibTeX XMLCite \textit{M. Hintermüller}, M2AN, Math. Model. Numer. Anal. 35, No. 1, 129--152 (2001; Zbl 0978.65054) Full Text: DOI Numdam EuDML
Vladimirov, V. A.; Ilin, K. I. Note on the nonlinear stability of stratified fluid equilibria. (English) Zbl 0960.76035 Physica D 118, No. 1-2, 123-133 (1998). MSC: 76E30 76B70 PDFBibTeX XMLCite \textit{V. A. Vladimirov} and \textit{K. I. Ilin}, Physica D 118, No. 1--2, 123--133 (1998; Zbl 0960.76035) Full Text: DOI