Chen, Junying; Xing, Ruixiang Symmetry-breaking bifurcation analysis of a free boundary problem modeling 3-dimensional tumor cord growth. (English) Zbl 07950095 J. Differ. Equations 415, 829-854 (2025). MSC: 35R35 35B06 35B32 35K57 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Cintra, Willian; Lin, Zhigui; Santos, Carlos Alberto; Win, Phyu Phyu Extinction, persistence and growing in a degenerate logistic model with impulses. (English) Zbl 07948489 Discrete Contin. Dyn. Syst., Ser. B 30, No. 3, 1009-1028 (2025). MSC: 35R12 35K20 35K57 92D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qin, Qian; Nie, Hua; Wang, Zhiguo Multiple spreading phenomena for a multistable reaction-diffusion equation with a free boundary. (English) Zbl 07946882 J. Math. Anal. Appl. 543, No. 1, Article ID 128886, 26 p. (2025). MSC: 35R35 35B40 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Dandan; Xu, Ying; Li, Xueping On a partially degenerate reaction-advection-diffusion system with free boundary conditions. (English) Zbl 07925039 J. Appl. Anal. Comput. 15, No. 1, 21-38 (2025). MSC: 35K65 35B40 35K57 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Shridhar; Ishwariya, R.; Das, Pratibhamoy Impact of mixed boundary conditions and nonsmooth data on layer-originated nonpremixed combustion problems: higher-order convergence analysis. (English) Zbl 07966118 Stud. Appl. Math. 153, No. 4, Article ID e12763, 32 p. (2024). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Sykopetritou, Irene; Xenophontos, Christos Analytic regularity for a singularly perturbed reaction-convection-diffusion boundary value problem with two small parameters. (English) Zbl 07965499 Commun. Math. Res. 40, No. 2, 125-153 (2024). MSC: 34E05 34E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fotouhi, Morteza; Yousefnezhad, Mohsen A heterogeneous patient-specific model of glioblastoma multiforme tumor through an inverse problem. (English) Zbl 07959437 Inverse Probl. 40, No. 12, Article ID 125025, 33 p. (2024). MSC: 35K20 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Mahmoud, E. I. Analytical solution of the space-time fractional reaction-diffusion equation with variable coefficients. (English. Russian original) Zbl 07955522 J. Math. Sci., New York 285, No. 4, 505-519 (2024); translation from Sovrem. Mat., Fundam. Napravl. 69, No. 3, 430-444 (2023). MSC: 26Axx 44Axx 33Exx × Cite Format Result Cite Review PDF Full Text: DOI
Safonov, Egor Ivanovich; Pyatkov, Sergeĭ Grigor’evich The flux recovering at the ecosystem-atmosphere boundary by inverse modelling. (English) Zbl 07953935 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 17, No. 3, 29-45 (2024). MSC: 35R30 35J25 35K57 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Sarkar, Dilip; Kumar, Shridhar; Das, Pratibhamoy; Ramos, Higinio Higher-order convergence analysis for interior and boundary layers in a semi-linear reaction-diffusion system networked by a \(k\)-star graph with non-smooth source terms. (English) Zbl 07952730 Netw. Heterog. Media 19, No. 3, 1085-1115 (2024). MSC: 65L10 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Gomez, Daniel; Wei, Juncheng Existence and stability of a boundary layer with an interior spike in the singularly perturbed shadow Gierer-Meinhardt system. (English) Zbl 07947639 SIAM J. Appl. Math. 84, No. 6, 2238-2257 (2024). MSC: 35B25 35B30 35B36 35K51 35K57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kundu, A.; Mahato, H. S. Existence of solution for an optimal control problem in a heterogeneous porous medium. (English) Zbl 07946831 IMA J. Math. Control Inf. 41, No. 2, 328-355 (2024). MSC: 35K57 35B27 35K51 35K91 35Q93 76M50 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Zhiguo; Nie, Hua; Du, Yihong Sharp asymptotic profile of the solution to a West Nile virus model with free boundary. (English) Zbl 07930519 Eur. J. Appl. Math. 35, No. 3, 462-482 (2024). MSC: 35B40 35K51 92B05 × Cite Format Result Cite Review PDF Full Text: DOI
Priyadarshana, S.; Mohapatra, J. An efficient fractional step numerical algorithm for time-delayed singularly perturbed 2D convection-diffusion-reaction problem with two small parameters. (English) Zbl 07925689 Numer. Algorithms 97, No. 2, 687-726 (2024). MSC: 65N06 65N50 65M06 65F05 65N12 35B25 35R07 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Sheng-en; Ge, Yongbin; Qi, Yingnan A sixth-order finite difference method for the two-dimensional nonlinear advection diffusion reaction equation. (English) Zbl 07922821 J. Comput. Phys. 517, Article ID 113361, 17 p. (2024). MSC: 65Mxx 35Kxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xiaohong; Huang, Yaodan Symmetry-breaking longitude bifurcation for a free boundary problem modeling the growth of tumor cord in three dimensions. (English) Zbl 07922057 Discrete Contin. Dyn. Syst., Ser. B 29, No. 11, 4492-4504 (2024). MSC: 35B32 35J57 35J61 35K57 35R35 92B05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Zhiguo; Qin, Qian; Wu, Jianhua Spreading speed and profile for the Lotka-Volterra competition model with two free boundaries. (English) Zbl 07920494 J. Dyn. Differ. Equations 36, No. 3, 2703-2738 (2024). MSC: 35B40 35K57 35R35 92B05 × Cite Format Result Cite Review PDF Full Text: DOI
Benedikt, Jiří; Bobkov, Vladimir; Dhara, Raj Narayan; Girg, Petr Nonuniqueness for fractional parabolic equations with sublinear power-type nonlinearity. (English) Zbl 07920125 J. Math. Anal. Appl. 540, No. 2, Article ID 128634, 17 p. (2024). MSC: 35R11 35A02 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Younes, G. A.; El Khatib, N.; Volpert, V. A. Existence of solution of a free boundary problem for reaction-diffusion systems. (English. Russian original) Zbl 1542.92018 J. Math. Sci., New York 283, No. 1, 150-166 (2024); translation from Sovrem. Mat., Fundam. Napravl. 68, No. 4, 716-731 (2022). MSC: 92C15 35R35 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Glover, Kristoffer; Peskir, Goran Quickest detection problems for Ornstein-Uhlenbeck processes. (English) Zbl 1540.60073 Math. Oper. Res. 49, No. 2, 1045-1064 (2024). MSC: 60G40 60J60 60H30 35K57 45G10 62C10 × Cite Format Result Cite Review PDF Full Text: DOI
Rodrigo, M.; Thamwattana, N. Analytical approach to solving linear diffusion-advection-reaction equations with local and nonlocal boundary conditions. (English) Zbl 1547.35419 Math. Methods Appl. Sci. 47, No. 7, 6551-6573 (2024). MSC: 35K57 65N06 × Cite Format Result Cite Review PDF Full Text: DOI
Kaneko, Yuki; Miyamoto, Yasuhito; Wakasa, Tohru Stability and bifurcation diagram for a shadow Gierer-Meinhardt system in one spatial dimension. (English) Zbl 1544.35035 Nonlinearity 37, No. 5, Article ID 055011, 27 p. (2024). MSC: 35B32 34B08 34B15 35B35 35K20 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Abi Younes, G.; El Khatib, N.; Volpert, V. A free boundary mathematical model of atherosclerosis. (English) Zbl 1541.35565 Appl. Anal. 103, No. 1, 240-262 (2024). MSC: 35R35 35K57 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
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
Chu, Jiawei Steady states of a diffusive population-toxicant model with negative toxicant-taxis. (English) Zbl 1540.35174 Acta Appl. Math. 190, Paper No. 13, 23 p. (2024). MSC: 35J57 35K57 35A01 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Brizitskii, R. V.; Donchak, A. A. Multiplicative control problem for a nonlinear reaction-diffusion model. (English) Zbl 1541.35223 Comput. Math. Math. Phys. 64, No. 1, 56-72 (2024). MSC: 35J62 35J25 35K57 35B20 35B35 × Cite Format Result Cite Review PDF Full Text: DOI
Nefedov, N. N. Existence, asymptotics, and Lyapunov stability of solutions of periodic parabolic problems for Tikhonov-type reaction-diffusion systems. (English. Russian original) Zbl 1537.35032 Math. Notes 115, No. 2, 232-239 (2024); translation from Mat. Zametki 115, No. 2, 276-285 (2024). MSC: 35B25 35B10 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Tao, Xia; Hao, Jiaxiong; Zhang, Yu The uniform convergence of a weak Galerkin finite element method in the balanced norm for reaction-diffusion equation. (English) Zbl 1540.65496 Math. Comput. Simul. 220, 445-461 (2024). MSC: 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Triki, Faouzi; Sayah, Toni; Semaan, Georges A posteriori error estimates for Darcy-Forchheimer’s problem coupled with the convection-diffusion-reaction equation. (English) Zbl 07832935 Int. J. Numer. Anal. Model. 21, No. 1, 65-103 (2024). MSC: 65-XX 35K05 65N30 65N15 65M15 65M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sykopetritou, I.; Xenophontos, C. An \(hp\) finite element method for a two-dimensional singularly perturbed boundary value problem with two small parameters. (English) Zbl 1534.65245 J. Comput. Appl. Math. 439, Article ID 115620, 14 p. (2024). MSC: 65N30 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Rodriguez, Carson; Robinson, Stephen B. Biological models, monotonicity methods, and solving a discrete reaction-diffusion equation. (English) Zbl 1535.39003 Involve 17, No. 1, 65-84 (2024). MSC: 39A27 39A12 37N25 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Bringedal, Carina; Jaust, Alexander Phase-field modeling and effective simulation of non-isothermal reactive transport. (English) Zbl 1537.35282 Results Appl. Math. 21, Article ID 100436, 24 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 35Q35 35R37 76D10 76D05 76V05 76T20 76T99 74F10 80A32 65M08 65M06 65N08 65H10 65M22 80M12 35R35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kian, Yavar; Liimatainen, Tony; Lin, Yi-Hsuan On determining and breaking the gauge class in inverse problems for reaction-diffusion equations. (English) Zbl 1537.35414 Forum Math. Sigma 12, Paper No. e25, 42 p. (2024). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 35R30 35K20 35K57 35K58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Ruiwen; Song, Lunji; Liu, Kaifang A new over-penalized weak Galerkin method. III: Convection-diffusion-reaction problems. (English) Zbl 1533.65237 Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 1652-1669 (2024). MSC: 65N30 65N12 65N15 35J50 76D50 76V05 76T20 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Li; Liu, Wenjun; An, Yanning; Cao, Xinxin Well-posedness of a free boundary problem of early atherosclerotic plaque formation with reverse cholesterol transport. (English) Zbl 1532.35547 Discrete Contin. Dyn. Syst., Ser. B 29, No. 3, 1567-1583 (2024). MSC: 35R35 35K51 35K57 49K40 92C37 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Ningkui; Zhang, Di Dynamical behavior of solutions of a reaction-diffusion-advection model with a free boundary. (English) Zbl 1532.35546 Z. Angew. Math. Phys. 75, No. 2, Paper No. 40, 30 p. (2024). MSC: 35R35 35B40 35K20 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Dagdug, Leonardo; Peña, Jason; Pompa-García, Ivan Diffusion under confinement. A journey through counterintuition. (English) Zbl 07799384 Cham: Springer (ISBN 978-3-031-46474-4/hbk; 978-3-031-46477-5/pbk; 978-3-031-46475-1/ebook). xix, 759 p. (2024). MSC: 82-01 82D30 82C31 82B41 82C41 82D37 82D80 60J65 60J70 60G50 60F05 92D25 44A10 42A38 35K57 35B32 35B36 65M06 65N06 35Q82 × Cite Format Result Cite Review PDF Full Text: DOI
Wongsaijai, Ben; Aydemir, Tuğba; Ak, Turgut; Dhawan, Sharanjeet Analytical and numerical techniques for initial-boundary value problems of Kolmogorov-Petrovsky-Piskunov equation. (English) Zbl 1531.65129 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22693, 35 p. (2024). MSC: 65M06 35K57 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Wenjuan; Gao, Fuzheng; Cui, Jintao A weak Galerkin finite element method for nonlinear convection-diffusion equation. (English) Zbl 1545.65373 Appl. Math. Comput. 461, Article ID 128315, 15 p. (2024). MSC: 65M60 35K57 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Bayramova, N. Kh.; Gamzaev, Kh. M. Numerical solution of one inverse problem for a diffusion model of a chemical-technological process. (English) Zbl 07885163 Baku Math. J. 2, No. 2, 125-133 (2023). MSC: 65M32 92E20 × Cite Format Result Cite Review PDF Full Text: DOI
Chaikovskii, Dmitrii; Zhang, Ye Solving forward and inverse problems involving a nonlinear three-dimensional partial differential equation via asymptotic expansions. (English) Zbl 1534.35070 IMA J. Appl. Math. 88, No. 4, 525-557 (2023). MSC: 35C20 35B25 35K20 35K58 35R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shergin, Sergeĭ Nikolaevich; Pyatkov, Sergeĭ Grigor’evich Recovering of the heat transfer coefficient from the temperature measurements. (English) Zbl 1532.35538 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 16, No. 3, 51-64 (2023). MSC: 35R30 35K20 35K57 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Banjai, Lehel; Melenk, Jens M.; Schwab, Christoph \(hp\)-FEM for reaction-diffusion equations. II: Robust exponential convergence for multiple length scales in corner domains. (English) Zbl 1537.65165 IMA J. Numer. Anal. 43, No. 6, 3282-3325 (2023). Reviewer: Dana Černá (Liberec) MSC: 65N30 65N35 65N50 65N12 35B25 35B65 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Auricchio, Ferdinando; Colli, Pierluigi; Gilardi, Gianni; Reali, Alessandro; Rocca, Elisabetta Well-posedness for a diffusion-reaction compartmental model simulating the spread of COVID-19. (English) Zbl 1529.35526 Math. Methods Appl. Sci. 46, No. 12, 12529-12548 (2023). MSC: 35Q92 46N60 92D30 35K57 35K55 35K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Scabbia, Francesco; Gasparrini, Claudia; Zaccariotto, Mirco; Galvanetto, Ugo; Larios, Adam; Bobaru, Florin Moving interfaces in peridynamic diffusion models and the influence of discontinuous initial conditions: numerical stability and convergence. (English) Zbl 1538.74015 Comput. Math. Appl. 151, 384-396 (2023). MSC: 74A45 74B99 80A19 74A70 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Qiaoling; Teng, Zhidong Dynamics for a reaction-diffusion-advection mutualist model with different free boundaries. (English) Zbl 1530.35036 Math. Methods Appl. Sci. 46, No. 5, 4965-4984 (2023). MSC: 35B40 35K57 35K61 35R35 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Ayele, M. Amsalu; Tiruneh, A. Andargie; Derese, G. Adamu Fitted scheme for singularly perturbed time delay reaction-diffusion problems. (English) Zbl 1531.65100 Iran. J. Numer. Anal. Optim. 13, No. 2, 262-284 (2023). MSC: 65M06 65M12 65M15 35R07 35B25 65N50 65B05 65D07 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Jingjing; Xu, Pengchen; Xu, Li Asymptotic behavior of solutions for multi-stable equation with Dirichlet boundary condition. (English) Zbl 1525.35262 Mediterr. J. Math. 20, No. 6, Paper No. 299, 20 p. (2023). MSC: 35R35 35B40 35K20 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Jie; Gao, Fuzheng; Du, Ning A stabilizer-free weak Galerkin finite element method with Alikhanov formula on nonuniform mesh for a linear reaction-subdiffusion problem. (English) Zbl 1538.65377 Comput. Math. Appl. 148, 180-187 (2023). MSC: 65M60 65M06 65N30 35R11 65M12 26A33 65N50 65M15 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Wen-Hui; Fu, Zhuo-Jia; Tang, Zhuo-Chao; Xu, Wen-Zhi; Zhuang, Xiao-Ying A machine learning approach coupled with polar coordinate based localized collocation method for inner surface identification in heat conduction problem. (English) Zbl 1538.80011 Comput. Math. Appl. 148, 41-61 (2023). MSC: 80A23 65M06 35K57 80A19 65M70 80M20 80M22 68Q32 68T07 35R05 35R30 35Q79 × Cite Format Result Cite Review PDF Full Text: DOI
He, Wenhua; Xing, Ruixiang Bifurcation analysis of a free boundary problem modeling multilayered tumor growth with time delay. (English) Zbl 1523.35304 J. Differ. Equations 374, 339-390 (2023). MSC: 35R35 35B32 35K57 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Priyadarshana, S.; Mohapatra, J. An efficient computational technique for time dependent semilinear parabolic problems involving two small parameters. (English) Zbl 1522.65150 J. Appl. Math. Comput. 69, No. 5, 3721-3754 (2023). MSC: 65M06 35K58 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Nefedov, N. N.; Nikitin, A. G.; Nikulin, E. I. Boundary-value problem for singularly perturbed integro-differential equation with singularly perturbed Neumann boundary condition. (English) Zbl 1526.45006 Russ. J. Math. Phys. 30, No. 3, 375-381 (2023). Reviewer: Rodica Luca (Iaşi) MSC: 45J05 45L05 45M10 × Cite Format Result Cite Review PDF Full Text: DOI
Ham, YoonMee A Hopf bifurcation in an attraction-attraction chemotaxis system with global coupling. (English) Zbl 1522.35051 Korean J. Math. 31, No. 2, 203-216 (2023). MSC: 35B32 35B25 35K51 35K57 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Korotkii, A. I.; Tsepelev, I. A. Assimilation of boundary data for reconstructing the absorption coefficient in a model of stationary reaction-convection-diffusion. (English. Russian original) Zbl 1522.35586 Proc. Steklov Inst. Math. 321, Suppl. 1, S138-S153 (2023); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 29, No. 2, 87-103 (2023). MSC: 35R30 35J20 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Kaneko, Yuki; Matsuzawa, Hiroshi; Yamada, Yoshio A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions. II: Asymptotic profiles of solutions and radial terrace solution. (English. French summary) Zbl 1522.35074 J. Math. Pures Appl. (9) 178, 1-45 (2023). MSC: 35B40 35K20 35K57 35R35 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Abdullah, Ala’ N.; Kashkool, Hashim A. The error convergence of the weak Galerkin method for two-dimensional non-linear convection-diffusion problem. (English) Zbl 1538.65333 Poincare J. Anal. Appl. 10, No. 1, 1-21 (2023). MSC: 65M60 65M12 65M06 65N30 65M15 35K57 × Cite Format Result Cite Review PDF Full Text: Link
Geng, Y.; Kamilova, A. A.; Luckins, E. K. Fluid-flow effects in the reactive decontamination of porous materials driven by chemical swelling or contraction. (English) Zbl 1521.76895 J. Eng. Math. 141, Paper No. 11, 26 p. (2023). MSC: 76V05 76S05 76R99 76M45 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Metherall, Brady; Breward, Christopher J. W.; Please, Colin P.; Oliver, James M.; Sloman, Benjamin M. Modelling the reduction of quartz in a quartz-carbon pellet. (English) Zbl 07727710 J. Eng. Math. 141, Paper No. 4, 29 p. (2023). MSC: 82-XX 92-XX × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yan-Yu; Ninomiya, Hirokazu; Wu, Chang-Hong Weak entire solutions of reaction-interface systems. (English) Zbl 1521.35104 Discrete Contin. Dyn. Syst., Ser. B 28, No. 12, 6015-6033 (2023). MSC: 35K57 35B08 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Sowndarrajan, P. T. Existence and optimal control analysis of acid-mediated tumor invasion model. (English) Zbl 1538.35400 Adv. Differ. Equ. Control Process. 30, No. 1, 53-72 (2023). MSC: 35Q92 35K57 49J20 92D99 35K51 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
Saritskaya, Zh. Yu.; Brizitskii, R. V. Boundary control problems for nonlinear reaction-diffusion-convection model. (English) Zbl 1521.35080 Dal’nevost. Mat. Zh. 23, No. 1, 106-111 (2023). MSC: 35D30 35G60 35Q35 35Q93 35R30 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Biccari, Umberto; Song, Yongcun; Yuan, Xiaoming; Zuazua, Enrique A two-stage numerical approach for the sparse initial source identification of a diffusion-advection equation. (English) Zbl 1533.35363 Inverse Probl. 39, No. 9, Article ID 095003, 30 p. (2023). MSC: 35R30 35K57 35R25 49K20 65M30 65M32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Faizi, R.; Atmania, R. An inverse source problem of a semilinear time-fractional reaction-diffusion equation. (English) Zbl 1525.35244 Appl. Anal. 102, No. 11, 2939-2959 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 35R30 26A33 35K57 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Nikulin, E. I. Contrast structures in the reaction-advection-diffusion problem appearing in a drift-diffusion model of a semiconductor in the case of nonsmooth reaction. (English. Russian original) Zbl 1522.34080 Theor. Math. Phys. 215, No. 3, 769-783 (2023); translation from Teor. Mat. Fiz. 215, No. 3, 360-376 (2023). MSC: 34E15 34B15 34E05 × Cite Format Result Cite Review PDF Full Text: DOI
David, Noemi; Dębiec, Tomasz; Perthame, Benoît Convergence rate for the incompressible limit of nonlinear diffusion-advection equations. (English) Zbl 1519.35038 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 3, 511-529 (2023). Reviewer: Gelu Paşa (Bucureşti) MSC: 35B45 35B40 35K57 35K65 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Russo, Fabiana; Tenore, Alberto; Mattei, Maria Rosaria; Frunzo, Luigi A mathematical study of metal biosorption on algal-bacterial granular biofilms. (English) Zbl 1519.92134 Bull. Math. Biol. 85, No. 7, Paper No. 63, 50 p. (2023). MSC: 92C75 35R35 35K57 × 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
Baravdish, G.; Johansson, B. T.; Svensson, O.; Ssebunjo, W. Identifying a response parameter in a model of brain tumour evolution under therapy. (English) Zbl 1519.92090 IMA J. Appl. Math. 88, No. 2, 378-404 (2023). MSC: 92C50 65M32 × Cite Format Result Cite Review PDF Full Text: DOI
Brander, Tommi; Lesnic, Daniel; Cao, Kai Inverse problems for a model of biofilm growth. (English) Zbl 1519.92127 IMA J. Appl. Math. 88, No. 2, 258-281 (2023). MSC: 92C70 35R30 35K57 65M32 35K65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Benner, Peter; Chuiko, Sergey; Zuyev, Alexander A periodic boundary value problem with switchings under nonlinear perturbations. (English) Zbl 1531.34022 Bound. Value Probl. 2023, Paper No. 50, 12 p. (2023). MSC: 34A36 34B08 34E10 34A45 34E05 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Kai; Kuang, Jie Global well-posedness of shock front solutions to one-dimensional piston problem for combustion Euler flows. (English) Zbl 1518.35491 SIAM J. Math. Anal. 55, No. 3, 2042-2110 (2023). MSC: 35L67 35B20 35D30 35Q31 76J20 76L05 76N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anila, S.; Lalithasree, T.; Ramesh Babu, A. Energy norm error estimate for singularly perturbed fourth-order differential equation with two parameters. (English) Zbl 1538.65195 Int. J. Comput. Math. 100, No. 3, 681-701 (2023). MSC: 65L10 65L11 34E15 34B15 65L60 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Moșneagu, Ana-Maria On some local and nonlocal reaction-diffusion models with Robin boundary conditions. (English) Zbl 1514.35266 Discrete Contin. Dyn. Syst., Ser. S 16, No. 1, 104-125 (2023). MSC: 35K57 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Croitoru, Anca; Tănase, Gabriela On a nonlocal and nonlinear second-order anisotropic reaction-diffusion model with in-homogeneous Neumann boundary conditions. (English) Zbl 1514.35263 Discrete Contin. Dyn. Syst., Ser. S 16, No. 1, 75-88 (2023). MSC: 35K57 45K05 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Moroşanu, Costică; Satco, Bianca Qualitative and quantitative analysis for a nonlocal and nonlinear reaction-diffusion problem with in-homogeneous Neumann boundary conditions. (English) Zbl 1514.35265 Discrete Contin. Dyn. Syst., Ser. S 16, No. 1, 1-15 (2023). MSC: 35K57 35K60 45K05 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Mrityunjoy, B.; Natesan, S.; Sendur, A. Alternating direction implicit method for singularly perturbed 2D parabolic convection-diffusion-reaction problem with two small parameters. (English) Zbl 1524.65380 Int. J. Comput. Math. 100, No. 2, 253-282 (2023). MSC: 65M06 65M12 65M15 35B25 76R50 65N06 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Shengyue; Cao, Wanrong On spectral Petrov-Galerkin method for solving optimal control problem governed by fractional diffusion equations with fractional noise. (English) Zbl 07698826 J. Sci. Comput. 94, No. 3, Paper No. 62, 31 p. (2023). MSC: 65Nxx 44Axx 26Axx × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Satpal; Kumar, Devendra; Vigo-Aguiar, J. A robust numerical technique for weakly coupled system of parabolic singularly perturbed reaction-diffusion equations. (English) Zbl 07695650 J. Math. Chem. 61, No. 6, 1313-1350 (2023). MSC: 65-XX 35B25 35B50 35K51 35K57 65L70 65M12 65M15 65M22 65M50 × Cite Format Result Cite Review PDF Full Text: DOI
Mahmoudi, Mahmoud; Shojaeizadeh, Tahereh; Darehmiraki, Majid Optimal control of time-fractional convection-diffusion-reaction problem employing compact integrated RBF method. (English) Zbl 1516.49012 Math. Sci., Springer 17, No. 1, 1-14 (2023). MSC: 49J45 65M12 49K40 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Shihe; Zhang, Fangwei; Zhou, Qinghua A free boundary problem for necrotic tumor growth with angiogenesis. (English) Zbl 1512.35693 Appl. Anal. 102, No. 3, 977-987 (2023). MSC: 35R35 35J25 35K57 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jing; Liu, Hong-xia; Pan, Tao Global weak entropy solution of nonlinear ideal reaction chromatography system and applications. (English) Zbl 1512.35403 Acta Math. Appl. Sin., Engl. Ser. 39, No. 1, 109-134 (2023). MSC: 35L50 35L60 × Cite Format Result Cite Review PDF Full Text: DOI
Reihani, Parastoo; Esmailpour, Hossein; Soltanian, Fahimeh An ABC algorithm based approach to solve a nonlinear inverse reaction-diffusion problem associate with the ecological invasions. (English) Zbl 1524.65482 Comput. Methods Differ. Equ. 11, No. 1, 143-160 (2023). MSC: 65M32 65M06 65M12 65M70 65N35 65D07 65J20 92D25 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Min-Jhe; Hao, Wenrui; Hu, Bei; Li, Shuwang Bifurcation analysis of a free boundary model of vascular tumor growth with a necrotic core and chemotaxis. (English) Zbl 1506.35008 J. Math. Biol. 86, No. 1, Paper No. 19, 28 p. (2023). MSC: 35B32 35B35 35K57 35R35 35Q92 × 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
Ammar, Hamza; Mahjoub, Moncef; Zemzemi, Nejib Global Lipschitz stability of multiple space dependent ionic parameters for the MEA/hiPSC-CM assays. (English) Zbl 1504.35634 Inverse Probl. 39, No. 1, Article ID 015010, 38 p. (2023). MSC: 35R30 35K51 × Cite Format Result Cite Review PDF Full Text: DOI
Wiedemann, David; Peter, Malte A. Homogenisation of local colloid evolution induced by reaction and diffusion. (English) Zbl 1505.35028 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113168, 32 p. (2023). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35K20 35K57 35R35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yadav, Swati; Rai, Pratima A parameter uniform higher order scheme for 2D singularly perturbed parabolic convection-diffusion problem with turning point. (English) Zbl 1540.65342 Math. Comput. Simul. 205, 507-531 (2023). MSC: 65M06 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Man; Qiu, Wenlin; Nikan, Omid; Avazzadeh, Zakieh Second-order accurate, robust and efficient ADI Galerkin technique for the three-dimensional nonlocal heat model arising in viscoelasticity. (English) Zbl 1511.65102 Appl. Math. Comput. 440, Article ID 127655, 21 p. (2023). MSC: 65M60 65M06 35K57 45K05 65M12 65M15 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xiaohong; Hu, Bei; Zhang, Zhengce A three-dimensional angiogenesis model with time-delay. (English) Zbl 1502.35185 Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1823-1854 (2023). MSC: 35Q92 35R35 35K57 35B40 92C37 92C17 35R07 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Ning; Cai, Jingjing; Xu, Li A free boundary problem with nonlinear advection and Dirichlet boundary condition. (English) Zbl 1501.35462 Nonlinear Anal., Real World Appl. 69, Article ID 103719, 21 p. (2023). MSC: 35R35 35B40 35K20 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Aleja, David; Antón, Inmaculada; López-Gómez, Julián Characterizing the existence of positive periodic solutions in the weighted periodic-parabolic degenerate logistic equation. (English) Zbl 1501.35022 Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1471-1479 (2023). MSC: 35B10 35B09 35K20 35K57 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Khoa, Vo Anh Convergence of a spectral regularization of a time-reversed reaction-diffusion problem with high-order Sobolev-Gevrey smoothness. (English) Zbl 07601342 J. Math. Anal. Appl. 518, No. 1, Article ID 126666, 20 p. (2023). MSC: 65Mxx 35Kxx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sihem, Benamira; Eddine, Oussaeif Taki; Abdelfatah, Bouziani Galerkin finite element method for a semi-linear parabolic equation with purely integral conditions. (English) Zbl 07801856 Bol. Soc. Parana. Mat. (3) 40, Paper No. 68, 15 p. (2022). MSC: 65M60 65M06 65N30 35K57 35B40 35K20 35K55 35K57 35D30 35A15 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Niknam, Sepideh; Adibi, Hojatollah; Amirfakhrian, Majid A hybrid LRBF-DQ method for solving nonlinear (2 + 1) dimensional initial-boundary value problems. (English) Zbl 1539.65138 Eng. Anal. Bound. Elem. 145, 59-71 (2022). MSC: 65M70 35Q53 65D12 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Fangyuan; Zhou, Zhaojie Spectral Galerkin method for state constrained optimal control of fractional advection-diffusion-reaction equations. (English) Zbl 1533.65241 Numer. Methods Partial Differ. Equations 38, No. 5, 1526-1542 (2022). MSC: 65N35 65N30 49M41 35B45 33C45 26A33 35R11 × 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
He, Wenhua; Xing, Ruixiang; Hu, Bei The linear stability for a free boundary problem modeling multilayer tumor growth with time delay. (English) Zbl 1527.35504 Math. Methods Appl. Sci. 45, No. 11, 7096-7118 (2022). MSC: 35R35 35B40 35J25 35K57 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choban, Mitrofan M.; Moroşanu, Costică N. Well-posedness of a nonlinear second-order anisotropic reaction-diffusion problem with nonlinear and inhomogeneous dynamic boundary conditions. (English) Zbl 1538.35197 Carpathian J. Math. 38, No. 1, 95-116 (2022). MSC: 35K61 35K20 35K59 × Cite Format Result Cite Review PDF Full Text: DOI