Lazareva, G. G.; Popov, V. A.; Okishev, V. A.; Burdakov, A. V. Mathematical model of thermocurrents based on calculation of electrical resistance and thermopower as an integral over electron energy. (English) Zbl 07939890 Dokl. Math. 109, No. 3, 238-245 (2024). MSC: 35Qxx 78Axx 78-XX × Cite Format Result Cite Review PDF Full Text: DOI
Krasnoshchok, Mykola On a one-dimensional time-fractional Stefan problem. (English) Zbl 07923294 Appl. Math. 51, No. 1, 13-46 (2024). MSC: 35R35 35K20 35R11 45G15 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Naian An improved modulus of continuity for the two-phase Stefan problem. (English) Zbl 07905992 Trans. Am. Math. Soc. 377, No. 9, 6023-6041 (2024). Reviewer: Guy Vallet (Pau) MSC: 35K65 80A22 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Yao, Hui A phase field method for convective phase change problem preserving maximum bound principle. (English) Zbl 1544.65179 Appl. Numer. Math. 204, 232-248 (2024). MSC: 65M60 35Q79 76D05 80A22 80M10 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Inwon C.; Kim, Young-Heon The Stefan problem and free targets of optimal Brownian martingale transport. (English) Zbl 1545.60045 Ann. Appl. Probab. 34, No. 2, 2364-2414 (2024). MSC: 60G40 35K10 35R35 35R60 49Q22 60G42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Nikiforov, Djulustan; Stepanov, Sergei Meshfree multiscale method with partially explicit time discretization for nonlinear Stefan problem. (English) Zbl 07890869 J. Comput. Appl. Math. 451, Article ID 116020, 10 p. (2024). MSC: 65Nxx 65Mxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Sunayama, Yosuke; Rabago, Julius Fergy Tiongson; Kimura, Masato Comoving mesh method for multi-dimensional moving boundary problems: mean-curvature flow and Stefan problems. (English) Zbl 07875929 Math. Comput. Simul. 221, 589-605 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Casabán, M.-C.; Company, R.; Egorova, V. N.; Jódar, L. A random free-boundary diffusive logistic differential model: numerical analysis, computing and simulation. (English) Zbl 07875903 Math. Comput. Simul. 221, 55-78 (2024). MSC: 65-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Venturato, Lucas D.; Cirelli, Mariela B.; Tarzia, Domingo A. Explicit solutions related to the Rubinstein binary-alloy solidification problem with a heat flux or a convective condition at the fixed face. (English) Zbl 07871681 Math. Methods Appl. Sci. 47, No. 8, 6770-6788 (2024). MSC: 35R35 80A22 35C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cuchiero, Christa; Reisinger, Christoph; Rigger, Stefan Optimal bailout strategies resulting from the drift controlled supercooled Stefan problem. (English) Zbl 1537.91344 Ann. Oper. Res. 336, No. 1-2, 1315-1349 (2024). MSC: 91G45 49N80 35Q91 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaneko, Yuki; Matsuzawa, Hiroshi; Yamada, Yoshio A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions. III: General case. (English) Zbl 1541.35571 Discrete Contin. Dyn. Syst., Ser. S 17, No. 2, 742-761 (2024). MSC: 35R35 35B40 35B51 35K20 35K57 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Cuchiero, Christa; Reisinger, Christoph; Rigger, Stefan Implicit and fully discrete approximation of the supercooled Stefan problem in the presence of blow-ups. (English) Zbl 07852680 SIAM J. Numer. Anal. 62, No. 3, 1145-1170 (2024). MSC: 80A22 35R35 65N06 65N75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bollati, Julieta; Natale, María F.; Semitiel, José A.; Tarzia, Domingo A. Determination of one unknown coefficient in a two-phase free boundary problem in an angular domain with variable thermal conductivity and specific heat. (English) Zbl 1541.35552 J. Math. Anal. Appl. 531, No. 1, Part 1, Article ID 127775, 20 p. (2024). MSC: 35R30 35K20 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Hilhorst, Danielle; Roscani, Sabrina; Rybka, Piotr Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile. (English) Zbl 07850622 NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 4, Paper No. 56, 14 p. (2024). Reviewer: Galina Bizhanova (Almaty) MSC: 35R35 35K05 35B40 35C06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tchinda Ngueyong, Ismaël; Urquiza, José Manuel; Martin, Dave A Nitsche-based cut finite element solver for two-phase Stefan problems. (English) Zbl 07845182 Int. J. Numer. Methods Eng. 125, No. 6, Article ID e7408, 25 p. (2024). MSC: 65M60 65M06 65N30 80A22 35Q79 35Q49 × Cite Format Result Cite Review PDF Full Text: DOI
Peszynska, Malgorzata; Vohra, Naren; Bigler, Lisa Upscaling an extended heterogeneous Stefan problem from the pore-scale to the Darcy scale in permafrost. (English) Zbl 1537.35039 Multiscale Model. Simul. 22, No. 1, 436-475 (2024). MSC: 35B27 35R35 35K65 80A22 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Nadtochiy, Sergey; Shkolnikov, Mykhaylo; Zhang, Xiling Scaling limits of external multi-particle DLA on the plane and the supercooled Stefan problem. (English. French summary) Zbl 1536.82019 Ann. Inst. Henri Poincaré, Probab. Stat. 60, No. 1, 658-691 (2024). MSC: 82C24 35R35 80A22 55M25 60J65 35D30 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bayraktar, Erhan; Guo, Gaoyue; Tang, Wenpin; Zhang, Yuming Paul McKean-Vlasov equations involving hitting times: blow-ups and global solvability. (English) Zbl 1536.35095 Ann. Appl. Probab. 34, No. 1B, 1600-1622 (2024). MSC: 35B44 35K61 35Q83 35Q84 60H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Erignoux, Clément; Simon, Marielle; Zhao, Linjie Mapping hydrodynamics for the facilitated exclusion and zero-range processes. (English) Zbl 1536.35386 Ann. Appl. Probab. 34, No. 1B, 1524-1570 (2024). MSC: 35R35 60J27 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eto, Tokuhiro A rapid numerical method for the Mullins-Sekerka flow with application to contact angle problems. (English) Zbl 1533.65192 J. Sci. Comput. 98, No. 3, Paper No. 63, 37 p. (2024). MSC: 65M70 65M06 65N35 65M80 80A22 80A17 74F10 76T99 76D27 35J05 35Q79 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bollati, Julieta; Briozzo, Adriana C. Non-classical two-phase Stefan problem with variable thermal coefficients. (English) Zbl 1533.80007 J. Math. Anal. Appl. 534, No. 1, Article ID 128094, 30 p. (2024). MSC: 80A22 45G15 35R35 47H10 35A01 35A02 35Q79 × Cite Format Result Cite Review PDF Full Text: DOI
Apushkinskaya, D. E.; Lazareva, G. G. Algorithm for the numerical solution of the Stefan problem and its application to calculations of the temperature of tungsten under impulse action. (English. Russian original) Zbl 1535.65257 J. Math. Sci., New York 278, No. 2, 225-236 (2024); translation from Sovrem. Mat., Fundam. Napravl. 67, No. 3, 442-454 (2021). MSC: 65N06 80A22 80A19 80M20 78A60 41A58 35K05 35R35 35Q79 × Cite Format Result Cite Review PDF Full Text: DOI
Figalli, Alessio; Ros-Oton, Xavier; Serra, Joaquim The singular set in the Stefan problem. (English) Zbl 1532.35542 J. Am. Math. Soc. 37, No. 2, 305-389 (2024). MSC: 35R35 35B65 35K85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Canelas, Alfredo; Roche, Jean R.; Brancher, Jean P. Melting interfaces in induction heated bodies. (English) Zbl 1538.76211 Comput. Math. Appl. 153, 213-224 (2024). MSC: 76W05 65Z05 65M60 80A22 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Ihsan, A. F.; van Horssen, W. T.; Tuwankotta, J. M. On a multiple time-scales perturbation analysis of a Stefan problem with a time-dependent Dirichlet boundary condition. (English) Zbl 1526.35334 Nonlinear Anal., Real World Appl. 75, Article ID 103961, 18 p. (2024). MSC: 35R35 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Murphy, S.; Vynnycky, M.; Mitchell, S. L.; O’Kiely, D. Reaction dynamics and early-time behaviour of chemical decontamination. (English) Zbl 07937006 IMA J. Appl. Math. 88, No. 5, 765-804 (2023). MSC: 92-XX 80-XX × Cite Format Result Cite Review PDF Full Text: DOI
Bouguezzi, M.; Hilhorst, D.; Miyamoto, Y.; Scheid, J.-F. Convergence to a self-similar solution for a one-phase Stefan problem arising in corrosion theory. (English) Zbl 07930487 Eur. J. Appl. Math. 34, No. 4, 701-737 (2023). MSC: 35R35 35C06 35B40 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Gaydukov, R. K.; Danilov, V. G.; Fonareva, A. V. Simulation of ice melting-freezing in the problem of fluid flow past a small irregularity. (English. Russian original) Zbl 1543.76120 Fluid Dyn. 58, No. 5, 906-918 (2023); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2023, No. 5, 82-94 (2023). MSC: 76T99 76D05 76M45 76M20 80A22 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Moussata, Cyr-Séraphin Ngamouyih; Haggar, Mahamat Saleh Daoussa; Yindoula, Deryl Nathan Bonazébi; Mampassi, Benjamin Discrete non-standard formulation of PDE inverse problems. (English) Zbl 07835814 Int. J. Numer. Methods Appl. 23, No. 2, 201-208 (2023). MSC: 65-XX 35K55 35J60 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Funaki, Tadahisa Hydrodynamic limit and stochastic PDEs related to interface motion. (English) Zbl 1533.60175 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4302-4325 (2023). MSC: 60K35 82C22 60H15 35R60 35B40 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Lo, Catharine W. K.; Rodrigues, José Francisco On an anisotropic fractional Stefan-type problem with Dirichlet boundary conditions. (English) Zbl 1535.35203 Math. Eng. (Springfield) 5, No. 3, Paper No. 47, 38 p. (2023). MSC: 35R11 35R35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koga, Shumon; Krstic, Miroslav Safe PDE backstepping QP control with high relative degree CBFs: Stefan model with actuator dynamics. (English) Zbl 07810962 IEEE Trans. Autom. Control 68, No. 12, 7195-7208 (2023). MSC: 93C20 93C40 93D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pishnamaz, Mohammadi Seyed Shojaeddin; Ivaz, Karim Numerical solution of one-phase Stefan problem for the non-classical heat equation with a convective condition. (English) Zbl 07809631 Comput. Methods Differ. Equ. 11, No. 4, 776-784 (2023). MSC: 65M06 65N06 35K05 35R35 35Q79 80A22 35R37 35R35 35R02 × Cite Format Result Cite Review PDF Full Text: DOI
Recupero, Vincenzo A convergence result for a Stefan problem with phase relaxation. (English) Zbl 1532.35545 Discrete Contin. Dyn. Syst., Ser. S 16, No. 12, 3535-3551 (2023). MSC: 35R35 35K61 80A22 80M30 80M35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lubyshev, Fedor Vladimirovich; Bolotnov, Anatoliĭ Mironovich; Faĭruzov, Makhmut Èrnstovich Mathematical models of joint calculation of electric and thermal fields in electrochemical systems (in electrolytes). (Russian. English summary) Zbl 07794140 Zh. Sredn. Mat. Obshch. 25, No. 3, 150-158 (2023). MSC: 78A57 78A55 80A22 35B45 76W05 76K05 35Q60 35Q75 35M32 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Yang, Jian Blowup of the solutions for a reaction-advection-diffusion equation with free boundaries. (English) Zbl 1538.35093 J. Partial Differ. Equations 36, No. 4, 394-403 (2023). MSC: 35B44 35K57 35R35 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Roubíček, Tomáš The Stefan problem in a thermomechanical context with fracture and fluid flow. (English) Zbl 1528.35191 Math. Methods Appl. Sci. 46, No. 12, 12217-12245 (2023). MSC: 35Q74 35R37 74A30 74R20 76A10 80A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bougouffa, Smail; Khanfer, Ammar; Bougoffa, Lazhar On the approximation of the modified error function. (English) Zbl 1538.80010 Math. Methods Appl. Sci. 46, No. 10, 11657-11665 (2023). MSC: 80A22 34B15 34B08 × Cite Format Result Cite Review PDF Full Text: DOI
Khanfer, Ammar; Bougoffa, Lazhar A Stefan problem with nonlinear thermal conductivity. (English) Zbl 1539.34025 Math. Methods Appl. Sci. 46, No. 4, 4602-4611 (2023). Reviewer: Ogbu F. Imaga (Ota) MSC: 34B15 34B08 34B40 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Ivaz, K.; Asadpour, Fazlallahi Mohammad; Khastan, A.; Nieto, J. J. Fuzzy one-phase Stefan problem. (English) Zbl 1530.35371 Appl. Comput. Math. 22, No. 1, 66-79 (2023). MSC: 35R35 35R13 × Cite Format Result Cite Review PDF Full Text: DOI
Faccanoni, Gloria; Galusinski, Cédric Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework. (English) Zbl 1528.76074 ESAIM, Proc. Surv. 72, 143-162 (2023). MSC: 76R50 76T10 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Simpson, Matthew J.; Rahman, Nizhum; McCue, Scott W.; Tam, Alexander K. Y. Survival, extinction, and interface stability in a two-phase moving boundary model of biological invasion. (English) Zbl 1530.92310 Physica D 456, Article ID 133912, 18 p. (2023). MSC: 92D40 35K57 35C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bochkov, Daniil; Pollock, Tresa; Gibou, Frederic A numerical method for sharp-interface simulations of multicomponent alloy solidification. (English) Zbl 07766214 J. Comput. Phys. 494, Article ID 112494, 39 p. (2023). MSC: 65Mxx 76Mxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Serra, Joaquim From branching singularities in minimal surfaces to non-smoothness points in ice-water interfaces. (English) Zbl 1527.35506 Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 607-641 (2023). MSC: 35R35 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Bárcena-Petisco, Jon Asier; Fernández-Cara, Enrique; Souza, Diego A. Exact controllability to the trajectories of the one-phase Stefan problem. (English) Zbl 1526.35328 J. Differ. Equations 376, 126-153 (2023). MSC: 35R35 35K20 80A22 93B05 93C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Ghattassi, Mohamed; Huo, Xiaokai; Masmoudi, Nader Stability of the nonlinear Milne problem for radiative heat transfer system. (English) Zbl 1528.35196 Arch. Ration. Mech. Anal. 247, No. 5, Paper No. 102, 52 p. (2023). MSC: 35Q79 35Q20 80A21 80A22 82C40 35B40 34B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zaĭnullin, Rifat Gil’metdinovich; Fazullin, Ziganur Yusupovich Boundary value problem for the equation of unsteady thermal conductivity in a non-cylindrical region. (Russian. English summary) Zbl 07746214 Chelyabinskiĭ Fiz.-Mat. Zh. 8, No. 3, 319-330 (2023). MSC: 80-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI MNR
Petrus, Bryan; Chen, Zhelin; El-Kebir, Hamza; Bentsman, Joseph; Thomas, Brian G. Solid boundary output feedback control of the Stefan problem: the enthalpy approach. (English) Zbl 07744834 IEEE Trans. Autom. Control 68, No. 6, 3485-3500 (2023). MSC: 93D15 35Q93 80A22 93C20 × Cite Format Result Cite Review PDF Full Text: DOI
Miklavčič, M. Analytic and numeric solutions of moving boundary problems. (English) Zbl 07733948 J. Comput. Appl. Math. 431, Article ID 115270, 13 p. (2023). MSC: 65-XX 35Kxx 80Axx 65Zxx × Cite Format Result Cite Review PDF Full Text: DOI
Nauryz, Targyn; Briozzo, Adriana C. Two-phase Stefan problem for generalized heat equation with nonlinear thermal coefficients. (English) Zbl 1521.35211 Nonlinear Anal., Real World Appl. 74, Article ID 103944, 20 p. (2023). MSC: 35R35 80A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belhamadia, Y.; Deteix, J.; Jaffal-Mourtada, B.; Yakoubi, D. Existence and uniqueness for a convective phase change model with temperature-dependent viscosity. (English) Zbl 1521.76885 J. Math. Anal. Appl. 527, No. 2, Article ID 127559, 18 p. (2023). MSC: 76T99 76D05 76M10 35Q30 35Q79 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Danilov, V. G.; Gaydukov, R. K. Ice-water phase transition on a substrate. (English) Zbl 1518.76058 Russ. J. Math. Phys. 30, No. 2, 165-175 (2023). MSC: 76T30 76M45 76M20 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Nikiforov, D. Y.; Stepanov, S. P. Modeling of artificial ground freezing using a meshfree multiscale method. (English) Zbl 1527.76081 Lobachevskii J. Math. 44, No. 3, 1206-1214 (2023). MSC: 76T99 76M99 76-10 80A22 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Hilhorst, Danielle; Salin, Florian; Schneider, Victor; Gao, Yueyuan Lecture notes on the singular limit of reaction-diffusion systems. (English) Zbl 1526.35027 Interdiscip. Inf. Sci. 29, No. 1, 1-53 (2023). MSC: 35B25 35K51 35K57 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Lazareva, G. G.; Arakcheev, A. S.; Popov, V. A. Mathematical modeling of melting tungsten exposed to pulsed laser beam. (English. Russian original) Zbl 07709508 Dokl. Math. 107, No. 1, 83-87 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 509, 101-105 (2023). MSC: 82-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Colle, Blaise; Lohéac, Jérôme; Takahashi, Takéo Controllability of the Stefan problem by the flatness approach. (English) Zbl 1519.93031 Syst. Control Lett. 174, Article ID 105480, 11 p. (2023). MSC: 93B05 93C20 80A22 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Geshkovski, Borjan; Maity, Debayan Control of the Stefan problem in a periodic box. (English) Zbl 1519.93032 Math. Models Methods Appl. Sci. 33, No. 3, 547-608 (2023). MSC: 93B05 35R35 35Q35 93C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eymard, Robert; Gallouët, Thierry A new convergence proof for approximations of the Stefan problem. (English) Zbl 1518.35696 Discrete Contin. Dyn. Syst. 43, No. 3-4, 1383-1399 (2023). MSC: 35R35 35A01 35K20 35K65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
del Teso, Félix; Endal, Jørgen; Jakobsen, Espen R. Uniform tail estimates and \(L^p( {\mathbb{R}}^N) \)-convergence for finite-difference approximations of nonlinear diffusion equations. (English) Zbl 07700760 Discrete Contin. Dyn. Syst. 43, No. 3-4, 1319-1346 (2023). MSC: 65-XX 35K15 35K65 35D30 35R09 35R11 65M06 65M12 76S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Najafi, Mahboubeh; Dehghan, Mehdi Simulations of dendritic solidification via the diffuse approximate method. (English) Zbl 1521.80018 Eng. Anal. Bound. Elem. 151, 639-655 (2023). MSC: 80A22 35D35 65N35 80M22 × Cite Format Result Cite Review PDF Full Text: DOI
Cuchiero, Christa; Rigger, Stefan; Svaluto-Ferro, Sara Propagation of minimality in the supercooled Stefan problem. (English) Zbl 1528.60071 Ann. Appl. Probab. 33, No. 2, 1588-1618 (2023). Reviewer: Hossam A. Ghany (al-Qāhira) MSC: 60H30 60K35 35Q84 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaushansky, Vadim; Reisinger, Christoph; Shkolnikov, Mykhaylo; Song, Zhuo Qun Convergence of a time-stepping scheme to the free boundary in the supercooled Stefan problem. (English) Zbl 1515.80006 Ann. Appl. Probab. 33, No. 1, 274-298 (2023). MSC: 80A22 35B44 65N20 60H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Weiwen; Xu, Chuanju A stable arbitrarily high order time-stepping method for thermal phase change problems. (English) Zbl 1509.65065 Commun. Comput. Phys. 33, No. 2, 477-510 (2023). MSC: 65L06 35Q79 65M12 65M70 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Vynnycky, M. On boundary immobilization for one-dimensional Stefan-type problems with a moving boundary having initially parabolic-logarithmic behaviour. (English) Zbl 1511.80005 Appl. Math. Comput. 444, Article ID 127803, 16 p. (2023). MSC: 80A22 35R35 80M20 76M20 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Wray, Alexander W.; Moore, Madeleine R. Evaporation of non-circular droplets. (English) Zbl 1532.76111 J. Fluid Mech. 961, Paper No. A11, 29 p. (2023). MSC: 76T10 76M45 80A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Savotchenko, Sergey; Cherniakov, Aleksei Models of recrystallization activated by a diffusion flow of impurities from a thin-film coating with a convection term at the crystal surface: exact solutions. (English) Zbl 1508.82042 Math. Model. Nat. Phenom. 18, Paper No. 1, 16 p. (2023). MSC: 82C70 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Solera, Marcos; Toledo, Julián Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions. (English) Zbl 1511.35226 J. Evol. Equ. 23, No. 2, Paper No. 24, 83 p. (2023). MSC: 35K92 35K61 47H06 47J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fullana, Tomas; Le Chenadec, Vincent; Sayadi, Taraneh Adjoint-based optimization of two-dimensional Stefan problems. (English) Zbl 07649293 J. Comput. Phys. 475, Article ID 111875, 23 p. (2023). MSC: 80Axx 65Mxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tam, Alexander K. Y.; Simpson, Matthew J. Pattern formation and front stability for a moving-boundary model of biological invasion and recession. (English) Zbl 1505.35034 Physica D 444, Article ID 133593, 15 p. (2023). MSC: 35B36 35C07 35K57 35R37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fadai, Nabil T. Exact smooth and sharp-fronted travelling waves of reaction-diffusion equations with weak Allee effects. (English) Zbl 1498.35144 Appl. Math. Lett. 135, Article ID 108433, 7 p. (2023). MSC: 35C07 35C05 35K59 35R37 × Cite Format Result Cite Review PDF Full Text: DOI
Spiridonov, Denis; Stepanov, Sergei; Vasiliy, Vasil’ev An online generalized multiscale finite element method for heat and mass transfer problem with artificial ground freezing. (English) Zbl 1502.65141 J. Comput. Appl. Math. 417, Article ID 114561, 15 p. (2023). MSC: 65M60 65M06 65N30 65M15 80A22 80A19 76S05 80M10 80M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nanda, Phalguni; Reddy, Gujji Murali Mohan Efficient numerical solution of one-phase linear inverse Stefan and Cauchy-Stefan problems in two dimensions: a posteriori error control. (English) Zbl 1532.65094 Stud. Appl. Math. 148, No. 4, 1563-1585 (2022). MSC: 65M80 65M15 35Q79 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
McCue, Scott W.; El-Hachem, Maud; Simpson, Matthew J. Traveling waves, blow-up, and extinction in the Fisher-Stefan model. (English) Zbl 1530.92185 Stud. Appl. Math. 148, No. 2, 964-986 (2022). Reviewer: Takashi Suzuki (Osaka) MSC: 92D25 35K57 35C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ihsan, A. F.; van Horssen, W. T.; Tuwankotta, J. M. On a multiple timescales perturbation approach for a Stefan problem with a time-dependent heat flux at the boundary. (English) Zbl 1526.35218 Nonlinear Dyn. 110, No. 3, 2673-2683 (2022). MSC: 35K61 35B20 35C20 35R37 80A22 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bykov, Aleksandr Nikolaevich; Vishnyakova, Marina Nikolavna; Deryugin, Yuriĭ Nikolaevich; Emel’yanov, Andreĭ Borisovich; Lazarev, Alekseĭ Aleksandrovich; Polishchuk, Sergeĭ Nikolaevich; Cherenkova, Kristina Vadimovna Numerical simulation of selective laser melting by the SPH method. (Russian. English summary) Zbl 1538.76045 Zh. Sredn. Mat. Obshch. 24, No. 4, 419-435 (2022). MSC: 76D05 74A50 76-10 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Jitendra; Chaurasiya, Vikas; Rai, Kabindra Nath; Singh, Jitendra Legendre wavelet residual approach for moving boundary problem with variable thermal physical properties. (English) Zbl 07677994 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 7-8, 957-970 (2022). MSC: 65T60 35K05 35K61 35R37 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Natyaganov, V. L.; Skobennikova, Yu. D. A solution to heat equation with exacerbation and stopped heat wave. (English. Russian original) Zbl 1511.74014 Mosc. Univ. Mech. Bull. 77, No. 5, 151-153 (2022); translation from Vestn. Mosk. Univ., Ser. I 77, No. 5, 61-63 (2022). MSC: 74F05 74L10 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Fadai, Nabil T.; Billingham, John Non-local effects on travelling waves arising in a moving-boundary reaction-diffusion model. (English) Zbl 1511.35071 J. Phys. A, Math. Theor. 55, No. 40, Article ID 405701, 10 p. (2022). MSC: 35C07 35K58 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Lukarevski, Martin Maximal regularity for evolution equations and application to the Stefan problem. (English) Zbl 1507.35349 Asian-Eur. J. Math. 15, No. 10, Article ID 2250244, 7 p. (2022). MSC: 35R35 35B65 35J70 35K90 × Cite Format Result Cite Review PDF Full Text: DOI
Sunayama, Yosuke; Kimura, Masato; Rabago, Julius Fergy T. Comoving mesh method for certain classes of moving boundary problems. (English) Zbl 1506.65163 Japan J. Ind. Appl. Math. 39, No. 3, 973-1001 (2022). MSC: 65M60 65M99 65N30 65N50 65M12 65M15 35R35 35R37 76D27 80A22 49Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bollati, Julieta; Natale, María F.; Semitiel, José A.; Tarzia, Domingo A. Exact solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms. (English) Zbl 1513.80005 Comput. Appl. Math. 41, No. 8, Paper No. 375, 11 p. (2022). MSC: 80A22 35R35 35C06 35K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colli, Pierluigi; Fukao, Takeshi; Scarpa, Luca A Cahn-Hilliard system with forward-backward dynamic boundary condition and non-smooth potentials. (English) Zbl 1501.35250 J. Evol. Equ. 22, No. 4, Paper No. 89, 31 p. (2022). MSC: 35K61 35K25 35D30 35B20 74N20 80A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gulen, Seda A novel hybrid method based cubic B-spline for one-dimensional Stefan problem with moving PCM, size-dependent thermal conductivity and periodic boundary condition. (English) Zbl 1513.35550 Comput. Appl. Math. 41, No. 8, Paper No. 355, 24 p. (2022). MSC: 35R37 41A15 65M06 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Larios-Cárdenas, Luis Ángel; Gibou, Frédéric Error-correcting neural networks for semi-Lagrangian advection in the level-set method. (English) Zbl 07605594 J. Comput. Phys. 471, Article ID 111623, 29 p. (2022). MSC: 65Mxx 76Nxx 35Lxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nieto, J.; Vásquez, M. O. Wellposedness of a DNA replication model based on a nucleation-growth process. (English) Zbl 1501.35416 Commun. Pure Appl. Anal. 21, No. 8, 2643-2660 (2022). MSC: 35Q92 92D20 74N05 74E15 35A01 35A02 35R09 45K05 82D60 80A22 00A71 × Cite Format Result Cite Review PDF Full Text: DOI
Roscani, Sabrina D.; Ryszewska, Katarzyna; Venturato, Lucas A one-phase space-fractional Stefan problem with no liquid initial domain. (English) Zbl 1501.35446 SIAM J. Math. Anal. 54, No. 5, 5489-5523 (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 35R11 35R35 35R37 26A33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghanmi, Chifaa; Mani Aouadi, Saloua; Triki, Faouzi Identification of a boundary influx condition in a one-phase Stefan problem. (English) Zbl 1498.35615 Appl. Anal. 101, No. 18, 6573-6595 (2022). MSC: 35R30 35R35 35K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Podgaev, A. G.; Prudnikov, V. Ya.; Kulesh, T. D. Global three-dimensional solvability the axisimmetric Stefan problem for quasilinear equation. (Russian. English summary) Zbl 1496.80005 Dal’nevost. Mat. Zh. 22, No. 1, 61-75 (2022). MSC: 80A22 35K05 46N20 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Araújo, Raul K. C.; Fernández-Cara, Enrique; Límaco, Juan; Souza, Diego A. Remarks on the control of two-phase Stefan free-boundary problems. (English) Zbl 1498.35633 SIAM J. Control Optim. 60, No. 5, 3078-3099 (2022). MSC: 35R35 80A22 93B05 93C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bizhanova, Galina Solution of the nonregular problem for a parabolic equation with the time derivative in the boundary condition. (English) Zbl 1498.35535 Asymptotic Anal. 130, No. 1-2, 53-87 (2022). MSC: 35Q79 35B20 35A01 35A02 80A22 80A19 35K10 × Cite Format Result Cite Review PDF Full Text: DOI
Nanda, P.; Reddy, G. M. M.; Vynnycky, M. Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems: a phase-wise approach. (English) Zbl 1524.80017 Comput. Math. Appl. 123, 216-226 (2022). MSC: 80A23 80A22 35R35 35K05 35R30 65M32 × Cite Format Result Cite Review PDF Full Text: DOI
Golubev, V. I.; Muratov, M. V.; Guseva, E. K.; Konov, D. S.; Petrov, I. B. Thermodynamic and mechanical problems of ice formations: numerical simulation results. (English) Zbl 1497.65122 Lobachevskii J. Math. 43, No. 4, 970-979 (2022). MSC: 65M06 65M25 80A22 74B10 74F05 76Q05 86A40 80M20 × Cite Format Result Cite Review PDF Full Text: DOI
El-Hachem, Maud; McCue, Scott W.; Simpson, Matthew J. Non-vanishing sharp-fronted travelling wave solutions of the Fisher-Kolmogorov model. (English) Zbl 1498.92299 Math. Med. Biol. 39, No. 3, 226-250 (2022). MSC: 92D40 92C37 35K57 35C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Cassia Lima Pimenta, Paulo Vicente; de Sousa Rocha, José Renê; Marcondes, Francisco Thermomechanical investigation of the continuous casting of ingots using the element-based finite-volume method. (English) Zbl 1525.74031 Eur. J. Mech., A, Solids 96, Article ID 104724, 19 p. (2022). MSC: 74C05 74C10 74F05 74S10 74S05 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Kraitzman, Noa; Promislow, Keith; Wetton, Brian Slow migration of brine inclusions in first-year sea ice. (English) Zbl 1496.80011 SIAM J. Appl. Math. 82, No. 4, 1470-1494 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 80M35 80A22 76T99 86A05 86A08 35K55 35B07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Athanasopoulos, Ioannis; Caffarelli, Luis; Milakis, Emmanouil The two-phase Stefan problem with anomalous diffusion. (English) Zbl 1495.35176 Adv. Math. 406, Article ID 108527, 19 p. (2022). MSC: 35R09 35R11 35R35 45K05 80A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bodaghi, S.; Zakeri, A.; Amiraslani, A.; Shayegan, A. H. Salehi Discrete mollification in Bernstein basis and space marching scheme for numerical solution of an inverse two-phase one-dimensional Stefan problem. (English) Zbl 1502.65094 Numer. Algorithms 90, No. 4, 1569-1592 (2022). MSC: 65M32 65M30 65M12 35K05 80A22 80A23 35R25 35Q79 × Cite Format Result Cite Review PDF Full Text: DOI
Kassabek, Samat A.; Suragan, Durvudkhan Numerical approximation of the one-dimensional inverse Cauchy-Stefan problem using heat polynomials methods. (English) Zbl 1513.80007 Comput. Appl. Math. 41, No. 4, Paper No. 189, 19 p. (2022). MSC: 80A22 80A23 35C11 65J20 × Cite Format Result Cite Review PDF Full Text: DOI
Baker, Graeme; Shkolnikov, Mykhaylo Zero kinetic undercooling limit in the supercooled Stefan problem. (English. French summary) Zbl 1494.35197 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 2, 861-871 (2022). MSC: 35R35 35K20 60J55 60J70 80A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kisatov, A. M. On the Stefan problem for a system of magnetohydrodynamic boundary layer equations with injection of a medium governed by the Ladyzhenskaya rheological law. (English. Russian original) Zbl 1506.76208 Dokl. Math. 105, No. 2, 102-105 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 59-63 (2022). MSC: 76W05 76D10 76T99 76A05 80A22 35Q35 35Q79 × Cite Format Result Cite Review PDF Full Text: DOI