Chan, W. Y. Blow-up for degenerate nonlinear parabolic problem. (English) Zbl 1486.35270 AIMS Math. 4, No. 5, 1488-1498 (2019). MSC: 35K59 35B44 35K57 35K65 35K55 35K60 PDFBibTeX XMLCite \textit{W. Y. Chan}, AIMS Math. 4, No. 5, 1488--1498 (2019; Zbl 1486.35270) Full Text: DOI
Wang, Liangwei; Yin, Jingxue The complicated asymptotic behavior for the nonlinear diffusion equations. (Chinese. English summary) Zbl 1499.35102 Sci. Sin., Math. 49, No. 2, 219-234 (2019). MSC: 35B40 35K57 76S05 PDFBibTeX XMLCite \textit{L. Wang} and \textit{J. Yin}, Sci. Sin., Math. 49, No. 2, 219--234 (2019; Zbl 1499.35102) Full Text: DOI
Majumdar, Anirban; Natesan, Srinivasan An \(\varepsilon \)-uniform hybrid numerical scheme for a singularly perturbed degenerate parabolic convection-diffusion problem. (English) Zbl 1499.65414 Int. J. Comput. Math. 96, No. 7, 1313-1334 (2019). MSC: 65M06 65N06 65M12 65M15 35B25 35K57 35K65 PDFBibTeX XMLCite \textit{A. Majumdar} and \textit{S. Natesan}, Int. J. Comput. Math. 96, No. 7, 1313--1334 (2019; Zbl 1499.65414) Full Text: DOI
Zhuo, L.; Lesnic, D.; Ismailov, M. I.; Tekin, I.; Meng, S. Determination of the time-dependent reaction coefficient and the heat flux in a nonlinear inverse heat conduction problem. (English) Zbl 1499.65475 Int. J. Comput. Math. 96, No. 10, 2079-2099 (2019). MSC: 65M32 35K57 35K91 35R30 80A23 PDFBibTeX XMLCite \textit{L. Zhuo} et al., Int. J. Comput. Math. 96, No. 10, 2079--2099 (2019; Zbl 1499.65475) Full Text: DOI Link
Zhan, Huashui; Li, Yongping The entropy solution of a reaction-diffusion equation on an unbounded domain. (English) Zbl 1499.35353 J. Inequal. Appl. 2019, Paper No. 3, 23 p. (2019). MSC: 35K57 35K65 35B35 35K55 PDFBibTeX XMLCite \textit{H. Zhan} and \textit{Y. Li}, J. Inequal. Appl. 2019, Paper No. 3, 23 p. (2019; Zbl 1499.35353) Full Text: DOI
El-Hachem, Maud; Mccue, Scott W.; Jin, Wang; Du, Yihong; Simpson, Matthew J. Revisiting the Fisher-Kolmogorov-Petrovsky-Piskunov equation to interpret the spreading-extinction dichotomy. (English) Zbl 1472.35398 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2229, Article ID 20190378, 19 p. (2019). MSC: 35Q92 35K58 35K57 92D25 PDFBibTeX XMLCite \textit{M. El-Hachem} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2229, Article ID 20190378, 19 p. (2019; Zbl 1472.35398) Full Text: DOI
Elmurodov, A. N. The two-phase Stefan problem for parabolic equations. (English) Zbl 1488.35639 Uzb. Math. J. 2019, No. 4, 54-64 (2019). MSC: 35R35 35K57 35B45 PDFBibTeX XMLCite \textit{A. N. Elmurodov}, Uzb. Math. J. 2019, No. 4, 54--64 (2019; Zbl 1488.35639) Full Text: DOI
McCue, Scott W.; Jin, Wang; Moroney, Timothy J.; Lo, Kai-Yin; Chou, Shih-En; Simpson, Matthew J. Hole-closing model reveals exponents for nonlinear degenerate diffusivity functions in cell biology. (English) Zbl 1453.92050 Physica D 398, 130-140 (2019). MSC: 92C17 35K57 35C06 92C37 PDFBibTeX XMLCite \textit{S. W. McCue} et al., Physica D 398, 130--140 (2019; Zbl 1453.92050) Full Text: DOI arXiv
Lopushansky, A. O.; Lopushanska, H. P. An inverse problem on determining the right-hand side of fractional equation in weight distributions. (Ukrainian, English) Zbl 1463.35313 Mat. Metody Fiz.-Mekh. Polya 62, No. 1, 37-47 (2019). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 35K57 35K40 35R30 PDFBibTeX XMLCite \textit{A. O. Lopushansky} and \textit{H. P. Lopushanska}, Mat. Metody Fiz.-Mekh. Polya 62, No. 1, 37--47 (2019; Zbl 1463.35313)
Au, Vo Van; Can, Nguyen Huu; Tuan, Nguyen Huy; Binh, Tran Thanh Regularization of a backward problem for a Lotka-Volterra competition system. (English) Zbl 1442.92122 Comput. Math. Appl. 78, No. 3, 765-785 (2019). MSC: 92D25 35K51 35K57 PDFBibTeX XMLCite \textit{V. Van Au} et al., Comput. Math. Appl. 78, No. 3, 765--785 (2019; Zbl 1442.92122) Full Text: DOI
Coronel, Aníbal; Huancas, Fernando; Sepúlveda, Mauricio A note on the existence and stability of an inverse problem for a SIS model. (English) Zbl 1442.92160 Comput. Math. Appl. 77, No. 12, 3186-3194 (2019). MSC: 92D30 34K25 34K50 PDFBibTeX XMLCite \textit{A. Coronel} et al., Comput. Math. Appl. 77, No. 12, 3186--3194 (2019; Zbl 1442.92160) Full Text: DOI
Lukyanenko, D. V.; Grigorev, Valentin B.; Volkov, V. T.; Shishlenin, M. A. Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction-diffusion equation with the location of moving front data. (English) Zbl 1442.65233 Comput. Math. Appl. 77, No. 5, 1245-1254 (2019). MSC: 65M32 35B25 35K58 35R30 PDFBibTeX XMLCite \textit{D. V. Lukyanenko} et al., Comput. Math. Appl. 77, No. 5, 1245--1254 (2019; Zbl 1442.65233) Full Text: DOI
Tedeev, Aleksandr Fedorovich Existence and uniqueness of the solution of a differential equation of fractional diffusion. (Russian. English summary) Zbl 1436.35325 Differ. Uravn. Protsessy Upr. 2019, No. 4, 73-85 (2019). MSC: 35R11 35K57 35A01 35D30 PDFBibTeX XMLCite \textit{A. F. Tedeev}, Differ. Uravn. Protsessy Upr. 2019, No. 4, 73--85 (2019; Zbl 1436.35325) Full Text: Link
Nefedov, N. N.; Nikulin, E. I. Existence and asymptotic stability of periodic two-dimensional contrast structures in the problem with weak linear advection. (English. Russian original) Zbl 1435.35033 Math. Notes 106, No. 5, 771-783 (2019); translation from Mat. Zametki 106, No. 5, 708-722 (2019). MSC: 35B25 35K58 35K20 35B10 35K57 35B35 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{E. I. Nikulin}, Math. Notes 106, No. 5, 771--783 (2019; Zbl 1435.35033); translation from Mat. Zametki 106, No. 5, 708--722 (2019) Full Text: DOI
Bouguima, S. M.; Mahlia, Z. Dynamics of a fish model in a multilayer environment and discontinuous diffusivity. (English) Zbl 1513.35445 Math. Rep., Buchar. 21(71), No. 3, 265-287 (2019). MSC: 35Q35 35K65 47D06 37N10 PDFBibTeX XMLCite \textit{S. M. Bouguima} and \textit{Z. Mahlia}, Math. Rep., Buchar. 21(71), No. 3, 265--287 (2019; Zbl 1513.35445)
Bin-Mohsin, B.; Lesnic, D. Reconstruction of inner boundaries subjected to generalized impedance boundary conditions for the modified Helmholtz equation. (English) Zbl 1434.65229 Appl. Comput. Math. 18, No. 3, 272-287 (2019). MSC: 65N21 65N35 65N80 65N20 65J20 65K10 35J05 35K57 PDFBibTeX XMLCite \textit{B. Bin-Mohsin} and \textit{D. Lesnic}, Appl. Comput. Math. 18, No. 3, 272--287 (2019; Zbl 1434.65229) Full Text: Link
Avazzadeh, Zakieh; Hassani, Hossein Transcendental Bernstein series for solving reaction-diffusion equations with nonlocal boundary conditions through the optimization technique. (English) Zbl 1431.65184 Numer. Methods Partial Differ. Equations 35, No. 6, 2258-2274 (2019). MSC: 65K10 35K57 PDFBibTeX XMLCite \textit{Z. Avazzadeh} and \textit{H. Hassani}, Numer. Methods Partial Differ. Equations 35, No. 6, 2258--2274 (2019; Zbl 1431.65184) Full Text: DOI
He, Xuefei; Wang, Kun Uniformly convergent novel finite difference methods for singularly perturbed reaction-diffusion equations. (English) Zbl 1431.65198 Numer. Methods Partial Differ. Equations 35, No. 6, 2120-2148 (2019). MSC: 65N06 65N12 35B25 65L12 35J25 PDFBibTeX XMLCite \textit{X. He} and \textit{K. Wang}, Numer. Methods Partial Differ. Equations 35, No. 6, 2120--2148 (2019; Zbl 1431.65198) Full Text: DOI
Shakeri, Saleh; Hadjian, Armin An ecological model involving nonlocal operator and reaction diffusion. (English) Zbl 1436.35208 Tamkang J. Math. 50, No. 4, 409-415 (2019). MSC: 35J92 35J67 35A01 PDFBibTeX XMLCite \textit{S. Shakeri} and \textit{A. Hadjian}, Tamkang J. Math. 50, No. 4, 409--415 (2019; Zbl 1436.35208) Full Text: DOI
Korneev, Vadim G. On a renewed approach to a posteriori error bounds for approximate solutions of reaction-diffusion equations. (English) Zbl 1433.65261 Apel, Thomas (ed.) et al., Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 128, 221-245 (2019). MSC: 65N15 65N12 65N30 35J15 PDFBibTeX XMLCite \textit{V. G. Korneev}, Lect. Notes Comput. Sci. Eng. 128, 221--245 (2019; Zbl 1433.65261) Full Text: DOI
Li, Xingxing; Nie, Hua Coexistence solutions of the unstirred chemostat model with internal storage. (Chinese. English summary) Zbl 1449.35270 Math. Appl. 32, No. 3, 503-514 (2019). MSC: 35K57 35B09 PDFBibTeX XMLCite \textit{X. Li} and \textit{H. Nie}, Math. Appl. 32, No. 3, 503--514 (2019; Zbl 1449.35270)
Butuzov, V. F. Asymptotic behaviour of a boundary layer solution to a stationary partly dissipative system with a multiple root of the degenerate equation. (English. Russian original) Zbl 1480.34077 Sb. Math. 210, No. 11, 1581-1608 (2019); translation from Mat. Sb. 210, No. 11, 76-102 (2019). MSC: 34E13 35K57 34B60 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Sb. Math. 210, No. 11, 1581--1608 (2019; Zbl 1480.34077); translation from Mat. Sb. 210, No. 11, 76--102 (2019) Full Text: DOI
Kita, Kosuke; Ôtani, Mitsuharu Bounds for global solutions of a reaction diffusion system with the Robin boundary conditions. (English) Zbl 1427.35123 Differ. Equ. Appl. 11, No. 2, 227-242 (2019). MSC: 35K57 35B40 35B45 PDFBibTeX XMLCite \textit{K. Kita} and \textit{M. Ôtani}, Differ. Equ. Appl. 11, No. 2, 227--242 (2019; Zbl 1427.35123) Full Text: DOI arXiv
Youssouf, Minoungou; Moussa, Bagayogo; Pare, Youssouf; Some, Blaise Solving a few linear partial differential equations (PDEs) of Cauchy kind by the SBA method. (English) Zbl 1425.35105 Adv. Differ. Equ. Control Process. 20, No. 1, 115-128 (2019). MSC: 35K57 35A35 PDFBibTeX XMLCite \textit{M. Youssouf} et al., Adv. Differ. Equ. Control Process. 20, No. 1, 115--128 (2019; Zbl 1425.35105) Full Text: DOI
Ratti, Luca; Verani, Marco A posteriori error estimates for the monodomain model in cardiac electrophysiology. (English) Zbl 1427.65256 Calcolo 56, No. 3, Paper No. 33, 33 p. (2019). MSC: 65M60 65M15 65J15 35Q92 35K58 35K57 92C50 34B60 78A70 92C30 34A34 65M06 PDFBibTeX XMLCite \textit{L. Ratti} and \textit{M. Verani}, Calcolo 56, No. 3, Paper No. 33, 33 p. (2019; Zbl 1427.65256) Full Text: DOI arXiv
Cheichan, Mohammed S.; Kashkool, Hashim A.; Gao, Fuzheng A weak Galerkin finite element method for solving nonlinear convection-diffusion problems in two dimensions. (English) Zbl 1429.65227 Appl. Math. Comput. 354, 149-163 (2019). MSC: 65M60 35K51 35K57 65M12 65M15 PDFBibTeX XMLCite \textit{M. S. Cheichan} et al., Appl. Math. Comput. 354, 149--163 (2019; Zbl 1429.65227) Full Text: DOI
Lukyanenko, Dmitry V.; Shishlenin, Maxim A.; Volkov, Vladimir T. Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation. (English) Zbl 1430.35269 J. Inverse Ill-Posed Probl. 27, No. 5, 745-758 (2019). MSC: 35R30 31B20 65M32 65L09 65J22 49N45 PDFBibTeX XMLCite \textit{D. V. Lukyanenko} et al., J. Inverse Ill-Posed Probl. 27, No. 5, 745--758 (2019; Zbl 1430.35269) Full Text: DOI
Roul, Pradip; Prasad Goura, V. M. K.; Agarwal, Ravi A compact finite difference method for a general class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions. (English) Zbl 1429.65165 Appl. Math. Comput. 350, 283-304 (2019). MSC: 65L10 34B16 65L12 PDFBibTeX XMLCite \textit{P. Roul} et al., Appl. Math. Comput. 350, 283--304 (2019; Zbl 1429.65165) Full Text: DOI
Cheng, Xiujun; Duan, Jinqiao; Li, Dongfang A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations. (English) Zbl 1429.65216 Appl. Math. Comput. 346, 452-464 (2019). MSC: 65M12 65M06 35R11 PDFBibTeX XMLCite \textit{X. Cheng} et al., Appl. Math. Comput. 346, 452--464 (2019; Zbl 1429.65216) Full Text: DOI
Kajiwara, Takashi; Kurata, Kazuhiro A singular perturbation problem for heteroclinic solutions to the Fitzhugh-Nagumo type reaction-diffusion system with heterogeneity. (English) Zbl 1433.35069 J. Math. Sci., Tokyo 26, No. 2, 141-199 (2019). MSC: 35J50 35K57 35B40 PDFBibTeX XMLCite \textit{T. Kajiwara} and \textit{K. Kurata}, J. Math. Sci., Tokyo 26, No. 2, 141--199 (2019; Zbl 1433.35069) Full Text: Link
Levashova, N. T.; Nefedov, N. N.; Orlov, A. O. Asymptotic stability of a stationary solution of a multidimensional reaction-diffusion equation with a discontinuous source. (English. Russian original) Zbl 1423.35232 Comput. Math. Math. Phys. 59, No. 4, 573-582 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 4, 611-620 (2019). MSC: 35K91 35K57 35B25 35C20 35J91 35K20 PDFBibTeX XMLCite \textit{N. T. Levashova} et al., Comput. Math. Math. Phys. 59, No. 4, 573--582 (2019; Zbl 1423.35232); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 4, 611--620 (2019) Full Text: DOI
Cerrai, Sandra; Paskal, Nicholas Large deviations for fast transport stochastic RDEs with applications to the exit problem. (English) Zbl 1447.35188 Ann. Appl. Probab. 29, No. 4, 1993-2032 (2019). MSC: 35K57 35R60 35B25 60H15 70K65 60F10 PDFBibTeX XMLCite \textit{S. Cerrai} and \textit{N. Paskal}, Ann. Appl. Probab. 29, No. 4, 1993--2032 (2019; Zbl 1447.35188) Full Text: DOI arXiv Euclid
Ceballos-Lira, Marcos Josías; Pérez, Aroldo Blow up and globality of solutions for a nonautonomous semilinear heat equation with Dirichlet condition. (English) Zbl 1423.35191 Rev. Colomb. Mat. 53, No. 1, 57-72 (2019). MSC: 35K57 35B44 35B09 35C15 60G51 PDFBibTeX XMLCite \textit{M. J. Ceballos-Lira} and \textit{A. Pérez}, Rev. Colomb. Mat. 53, No. 1, 57--72 (2019; Zbl 1423.35191) Full Text: Link
Iwasaki, Satoru Exponential attractor for one-dimensional self-organizing target-detection model. (English) Zbl 1422.35116 Funkc. Ekvacioj, Ser. Int. 62, No. 1, 75-93 (2019). MSC: 35K57 35K90 35Q92 35B41 PDFBibTeX XMLCite \textit{S. Iwasaki}, Funkc. Ekvacioj, Ser. Int. 62, No. 1, 75--93 (2019; Zbl 1422.35116) Full Text: DOI
Jafari, Hossein; Babaei, Afshin; Banihashemi, Seddigheh A novel approach for solving an inverse reaction-diffusion-convection problem. (English) Zbl 1423.35448 J. Optim. Theory Appl. 183, No. 2, 688-704 (2019). MSC: 35R30 35K15 41A50 65M70 PDFBibTeX XMLCite \textit{H. Jafari} et al., J. Optim. Theory Appl. 183, No. 2, 688--704 (2019; Zbl 1423.35448) Full Text: DOI
Paré, Youssouf; Youssouf, Minoungou; Nébie, Abdoul Wassiha Resolution of nonlinear convection-diffusion-reaction equations of Cauchy kind by the Laplace SBA method. (English) Zbl 1449.65292 Eur. J. Pure Appl. Math. 12, No. 3, 771-789 (2019). MSC: 65M99 35K57 44A10 PDFBibTeX XMLCite \textit{Y. Paré} et al., Eur. J. Pure Appl. Math. 12, No. 3, 771--789 (2019; Zbl 1449.65292) Full Text: Link
Li, Rui; Lou, Yuan Some monotone properties for solutions to a reaction-diffusion model. (English) Zbl 1425.35031 Discrete Contin. Dyn. Syst., Ser. B 24, No. 8, 4445-4455 (2019). MSC: 35J25 35K57 92D25 PDFBibTeX XMLCite \textit{R. Li} and \textit{Y. Lou}, Discrete Contin. Dyn. Syst., Ser. B 24, No. 8, 4445--4455 (2019; Zbl 1425.35031) Full Text: DOI
Bulavatsky, V. M. An inverse problem for anomalous diffusion equation with bi-ordinal Hilfer’s derivative. (English. Russian original) Zbl 1431.35224 Cybern. Syst. Anal. 55, No. 2, 232-239 (2019); translation from Kibern. Sist. Anal. 2019, No. 2, 73-81 (2019). MSC: 35R11 35R30 35K57 PDFBibTeX XMLCite \textit{V. M. Bulavatsky}, Cybern. Syst. Anal. 55, No. 2, 232--239 (2019; Zbl 1431.35224); translation from Kibern. Sist. Anal. 2019, No. 2, 73--81 (2019) Full Text: DOI
Stehlík, Petr; Volek, Jonáš Nonuniqueness of implicit lattice Nagumo equation. (English) Zbl 07088736 Appl. Math., Praha 64, No. 2, 169-194 (2019). MSC: 65Mxx 35K57 39A12 65Q10 PDFBibTeX XMLCite \textit{P. Stehlík} and \textit{J. Volek}, Appl. Math., Praha 64, No. 2, 169--194 (2019; Zbl 07088736) Full Text: DOI
Babaei, Afshin; Banihashemi, Seddigheh Reconstructing unknown nonlinear boundary conditions in a time-fractional inverse reaction-diffusion-convection problem. (English) Zbl 1418.65120 Numer. Methods Partial Differ. Equations 35, No. 3, 976-992 (2019). MSC: 65M32 65M30 35R11 35Q30 65M12 PDFBibTeX XMLCite \textit{A. Babaei} and \textit{S. Banihashemi}, Numer. Methods Partial Differ. Equations 35, No. 3, 976--992 (2019; Zbl 1418.65120) Full Text: DOI
De Masi, A.; Funaki, T.; Presutti, E.; Vares, M. E. Fast-reaction limit for Glauber-Kawasaki dynamics with two components. (English) Zbl 1488.60229 ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 2, 957-976 (2019). MSC: 60K35 35K55 35K57 35R35 80A22 PDFBibTeX XMLCite \textit{A. De Masi} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 2, 957--976 (2019; Zbl 1488.60229) Full Text: arXiv Link
Zeng, Yanni; Zhao, Kun On the logarithmic Keller-Segel-Fisher/KPP system. (English) Zbl 1415.35267 Discrete Contin. Dyn. Syst. 39, No. 9, 5365-5402 (2019). MSC: 35Q92 35K45 35K57 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{K. Zhao}, Discrete Contin. Dyn. Syst. 39, No. 9, 5365--5402 (2019; Zbl 1415.35267) Full Text: DOI
Kaltenbacher, Barbara; Rundell, William On an inverse potential problem for a fractional reaction-diffusion equation. (English) Zbl 1461.35233 Inverse Probl. 35, No. 6, Article ID 065004, 31 p. (2019). MSC: 35R30 35R11 35K57 65M32 PDFBibTeX XMLCite \textit{B. Kaltenbacher} and \textit{W. Rundell}, Inverse Probl. 35, No. 6, Article ID 065004, 31 p. (2019; Zbl 1461.35233) Full Text: DOI
Gomez, Daniel; Ward, Michael J.; Wei, Juncheng The linear stability of symmetric spike patterns for a bulk-membrane coupled Gierer-Meinhardt model. (English) Zbl 1419.35107 SIAM J. Appl. Dyn. Syst. 18, No. 2, 729-768 (2019). Reviewer: Denise Huet (Nancy) MSC: 35K57 35A08 35B25 35B36 92C15 35Q92 PDFBibTeX XMLCite \textit{D. Gomez} et al., SIAM J. Appl. Dyn. Syst. 18, No. 2, 729--768 (2019; Zbl 1419.35107) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta Sliding mode control for a phase field system related to tumor growth. (English) Zbl 1420.35434 Appl. Math. Optim. 79, No. 3, 647-670 (2019). MSC: 35Q92 35K25 35K61 93B52 92C50 97M60 92C37 PDFBibTeX XMLCite \textit{P. Colli} et al., Appl. Math. Optim. 79, No. 3, 647--670 (2019; Zbl 1420.35434) Full Text: DOI arXiv
Roul, Pradip A new mixed MADM-collocation approach for solving a class of Lane-Emden singular boundary value problems. (English) Zbl 1414.92239 J. Math. Chem. 57, No. 3, 945-969 (2019). MSC: 92E20 65L10 65L60 PDFBibTeX XMLCite \textit{P. Roul}, J. Math. Chem. 57, No. 3, 945--969 (2019; Zbl 1414.92239) Full Text: DOI
Russell, Stephen; Stynes, Martin Balanced-norm error estimates for sparse grid finite element methods applied to singularly perturbed reaction-diffusion problems. (English) Zbl 1416.65464 J. Numer. Math. 27, No. 1, 37-55 (2019). MSC: 65N30 65N15 65N12 35B25 65D05 PDFBibTeX XMLCite \textit{S. Russell} and \textit{M. Stynes}, J. Numer. Math. 27, No. 1, 37--55 (2019; Zbl 1416.65464) Full Text: DOI
Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio On the long time behavior of a tumor growth model. (English) Zbl 1416.35279 J. Differ. Equations 267, No. 4, 2616-2642 (2019). MSC: 35Q92 35D30 35K57 35B41 37L30 35B40 92C37 PDFBibTeX XMLCite \textit{A. Miranville} et al., J. Differ. Equations 267, No. 4, 2616--2642 (2019; Zbl 1416.35279) Full Text: DOI arXiv
Chen, Chao-Nien; Choi, Yung Sze; Fusco, Nicola The \(\Gamma\)-limit of traveling waves in the FitzHugh-Nagumo system. (English) Zbl 1418.35063 J. Differ. Equations 267, No. 3, 1805-1835 (2019). Reviewer: Paolo Musolino (Padova) MSC: 35C07 35B08 35K40 35K57 49J40 49Q20 PDFBibTeX XMLCite \textit{C.-N. Chen} et al., J. Differ. Equations 267, No. 3, 1805--1835 (2019; Zbl 1418.35063) Full Text: DOI arXiv
Chen, Chao-Nien; Lin, Che-Hao; Tzeng, Shyuh-Yaur Localized front structures in FitzHugh-Nagumo equations. (English) Zbl 1415.34048 Taiwanese J. Math. 23, No. 2, 333-349 (2019). MSC: 34B08 34C37 35K57 34C07 34B40 PDFBibTeX XMLCite \textit{C.-N. Chen} et al., Taiwanese J. Math. 23, No. 2, 333--349 (2019; Zbl 1415.34048) Full Text: DOI Euclid
Wang, Zhiguo; Nie, Hua; Wu, Jianhua Spatial propagation for a parabolic system with multiple species competing for single resource. (English) Zbl 1408.35087 Discrete Contin. Dyn. Syst., Ser. B 24, No. 4, 1785-1814 (2019). MSC: 35K57 35B40 35Q92 92D25 PDFBibTeX XMLCite \textit{Z. Wang} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 4, 1785--1814 (2019; Zbl 1408.35087) Full Text: DOI
Liu, Bingchen; Lin, Hongyan A Cauchy problem of spatial-weighted reaction-diffusion equations. (English) Zbl 1503.35092 Appl. Math. Lett. 92, 128-133 (2019). MSC: 35K45 35K55 35K57 35K91 PDFBibTeX XMLCite \textit{B. Liu} and \textit{H. Lin}, Appl. Math. Lett. 92, 128--133 (2019; Zbl 1503.35092) Full Text: DOI
Syam, Muhammed I.; Anwar, Mohamed-Naim Yehia; Yildirim, Ahmet; Syam, Mahmmoud M. The modified fractional power series method for solving fractional non-isothermal reaction-diffusion model equations in a spherical catalyst. (English) Zbl 1411.76123 Int. J. Appl. Comput. Math. 5, No. 2, Paper No. 38, 13 p. (2019). MSC: 76M25 76A05 76W05 35K57 76Z05 65L05 PDFBibTeX XMLCite \textit{M. I. Syam} et al., Int. J. Appl. Comput. Math. 5, No. 2, Paper No. 38, 13 p. (2019; Zbl 1411.76123) Full Text: DOI
Agranovich, G.; Litsyn, E.; Slavova, A. Dynamical behavior of integro-differential boundary value problem arising in nano-structures via cellular nanoscale network approach. (English) Zbl 1410.74022 J. Comput. Appl. Math. 352, 62-71 (2019). MSC: 74F15 92B20 35K57 35Q74 PDFBibTeX XMLCite \textit{G. Agranovich} et al., J. Comput. Appl. Math. 352, 62--71 (2019; Zbl 1410.74022) Full Text: DOI
Boglaev, Igor A parameter uniform numerical method for a nonlinear elliptic reaction-diffusion problem. (English) Zbl 1407.65246 J. Comput. Appl. Math. 350, 178-194 (2019). MSC: 65N06 35J60 35J75 65N12 65G99 PDFBibTeX XMLCite \textit{I. Boglaev}, J. Comput. Appl. Math. 350, 178--194 (2019; Zbl 1407.65246) Full Text: DOI
Au, Vo Van; Kirane, Mokhtar; Tuan, Nguyen Huy Determination of initial data for a reaction-diffusion system with variable coefficients. (English) Zbl 1404.35217 Discrete Contin. Dyn. Syst. 39, No. 2, 771-801 (2019). MSC: 35K05 35K57 35K99 47J06 47H10 PDFBibTeX XMLCite \textit{V. Van Au} et al., Discrete Contin. Dyn. Syst. 39, No. 2, 771--801 (2019; Zbl 1404.35217) Full Text: DOI