Chatterjee, Avipsita; Panja, M. M.; Basu, U.; Datta, D.; Mandal, B. N. Solving one-dimensional advection diffusion transport equation by using CDV wavelet basis. (English) Zbl 1505.65326 Indian J. Pure Appl. Math. 52, No. 3, 872-896 (2021). MSC: 65T60 35K57 47F05 58J35 PDFBibTeX XMLCite \textit{A. Chatterjee} et al., Indian J. Pure Appl. Math. 52, No. 3, 872--896 (2021; Zbl 1505.65326) Full Text: DOI
Schilling, Nathanael; Karrasch, Daniel; Junge, Oliver Heat-content and diffusive leakage from material sets in the low-diffusivity limit. (English) Zbl 1473.35026 Nonlinearity 34, No. 10, 7303-7321 (2021). MSC: 35B25 35K10 35R01 60G07 58J32 58J35 PDFBibTeX XMLCite \textit{N. Schilling} et al., Nonlinearity 34, No. 10, 7303--7321 (2021; Zbl 1473.35026) Full Text: DOI arXiv
Ma, Dexiang; Liu, Lishan; Wu, Yonghong Existence of nontrivial solutions for a system of fractional advection-dispersion equations. (English) Zbl 1427.34011 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 1041-1057 (2019). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 34A08 58E05 34B15 26A33 PDFBibTeX XMLCite \textit{D. Ma} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 1041--1057 (2019; Zbl 1427.34011) Full Text: DOI
Krupchyk, Katya; Uhlmann, Gunther Inverse problems for advection diffusion equations in admissible geometries. (English) Zbl 1405.35235 Commun. Partial Differ. Equations 43, No. 4, 585-615 (2018). MSC: 35R01 35R30 58J32 53C65 PDFBibTeX XMLCite \textit{K. Krupchyk} and \textit{G. Uhlmann}, Commun. Partial Differ. Equations 43, No. 4, 585--615 (2018; Zbl 1405.35235) Full Text: DOI arXiv
Deckelnick, Klaus; Styles, Vanessa Stability and error analysis for a diffuse interface approach to an advection-diffusion equation on a moving surface. (English) Zbl 1397.65184 Numer. Math. 139, No. 3, 709-741 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 65M15 58J32 PDFBibTeX XMLCite \textit{K. Deckelnick} and \textit{V. Styles}, Numer. Math. 139, No. 3, 709--741 (2018; Zbl 1397.65184) Full Text: DOI arXiv
Bianchini, Stefano; Colombo, Maria; Crippa, Gianluca; Spinolo, Laura V. Optimality of integrability estimates for advection-diffusion equations. (English) Zbl 1373.35155 NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 4, Paper No. 33, 19 p. (2017). MSC: 35K10 35B45 35R05 58J35 PDFBibTeX XMLCite \textit{S. Bianchini} et al., NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 4, Paper No. 33, 19 p. (2017; Zbl 1373.35155) Full Text: DOI arXiv
Deckelnick, Klaus; Elliott, Charles M.; Ranner, Thomas Unfitted finite element methods using bulk meshes for surface partial differential equations. (English) Zbl 1307.65164 SIAM J. Numer. Anal. 52, No. 4, 2137-2162 (2014). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65M60 35R01 65N15 65M15 58J05 58J35 PDFBibTeX XMLCite \textit{K. Deckelnick} et al., SIAM J. Numer. Anal. 52, No. 4, 2137--2162 (2014; Zbl 1307.65164) Full Text: DOI arXiv
Olshanskii, Maxim A.; Reusken, Arnold Error analysis of a space-time finite element method for solving PDEs on evolving surfaces. (English) Zbl 1307.65120 SIAM J. Numer. Anal. 52, No. 4, 2092-2120 (2014). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M15 65M60 65M12 35K20 58J35 PDFBibTeX XMLCite \textit{M. A. Olshanskii} and \textit{A. Reusken}, SIAM J. Numer. Anal. 52, No. 4, 2092--2120 (2014; Zbl 1307.65120) Full Text: DOI arXiv Link
Sarhad, Jonathan; Carlson, Robert; Anderson, Kurt E. Population persistence in river networks. (English) Zbl 1297.05151 J. Math. Biol. 69, No. 2, 401-448 (2014). MSC: 05C50 05C90 05C12 35K57 58C40 92D40 PDFBibTeX XMLCite \textit{J. Sarhad} et al., J. Math. Biol. 69, No. 2, 401--448 (2014; Zbl 1297.05151) Full Text: DOI Link
Dziuk, Gerhard; Elliott, Charles M. Finite element methods for surface PDEs. (English) Zbl 1296.65156 Acta Numerica 22, 289-396 (2013). Reviewer: Ivan Secrieru (Chişinău) MSC: 65N30 65M60 65N15 65M15 35J05 35J25 35K20 58J05 58J35 PDFBibTeX XMLCite \textit{G. Dziuk} and \textit{C. M. Elliott}, Acta Numerica 22, 289--396 (2013; Zbl 1296.65156) Full Text: DOI
Heumann, Holger; Hiptmair, Ralf; Li, Kun; Xu, Jinchao Fully discrete semi-Lagrangian methods for advection of differential forms. (English) Zbl 1267.65130 BIT 52, No. 4, 981-1007 (2012). Reviewer: Martina Wirz (Braunschweig) MSC: 65M60 65M12 65M15 58J35 58J45 35M13 58A10 PDFBibTeX XMLCite \textit{H. Heumann} et al., BIT 52, No. 4, 981--1007 (2012; Zbl 1267.65130) Full Text: DOI Link
Liu, Nai-Wei; Li, Wan-Tong; Wang, Zhi-Cheng Pulsating type entire solutions of monostable reaction-advection-diffusion equations in periodic excitable media. (English) Zbl 1237.35095 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 1869-1880 (2012). MSC: 35K57 35B40 35R15 58D25 PDFBibTeX XMLCite \textit{N.-W. Liu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 1869--1880 (2012; Zbl 1237.35095) Full Text: DOI
Liu, Naiwei; Li, Wantong Entire solutions in reaction-advection-diffusion equations with bistable nonlinearities in heterogeneous media. (English) Zbl 1209.35065 Sci. China, Math. 53, No. 7, 1775-1786 (2010). Reviewer: Shu-Yu Hsu (Chia-Yi) MSC: 35K57 35B40 34K30 58D25 PDFBibTeX XMLCite \textit{N. Liu} and \textit{W. Li}, Sci. China, Math. 53, No. 7, 1775--1786 (2010; Zbl 1209.35065) Full Text: DOI
Elliott, Charles M.; Stinner, Björn Analysis of a diffuse interface approach to an advection diffusion equation on a moving surface. (English) Zbl 1200.35018 Math. Models Methods Appl. Sci. 19, No. 5, 787-802 (2009). Reviewer: Daniel Ševčovič (Bratislava) MSC: 35B25 58J37 35K99 PDFBibTeX XMLCite \textit{C. M. Elliott} and \textit{B. Stinner}, Math. Models Methods Appl. Sci. 19, No. 5, 787--802 (2009; Zbl 1200.35018) Full Text: DOI
Mehra, Mani; Kevlahan, Nicholas K.-R. An adaptive wavelet collocation method for the solution of partial differential equations on the sphere. (English) Zbl 1147.65080 J. Comput. Phys. 227, No. 11, 5610-5632 (2008). MSC: 65M70 35K05 35K57 35L45 58J35 58J45 PDFBibTeX XMLCite \textit{M. Mehra} and \textit{N. K. R. Kevlahan}, J. Comput. Phys. 227, No. 11, 5610--5632 (2008; Zbl 1147.65080) Full Text: DOI Link