Nefedov, N. N.; Orlov, A. O. On unstable contrast structures in one-dimensional reaction-diffusion-advection problems with discontinuous sources. (English. Russian original) Zbl 1519.35015 Theor. Math. Phys. 215, No. 2, 716-728 (2023); translation from Teor. Mat. Fiz. 215, No. 2, 297-310 (2023). MSC: 35B25 34D15 35K20 35K58 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{A. O. Orlov}, Theor. Math. Phys. 215, No. 2, 716--728 (2023; Zbl 1519.35015); translation from Teor. Mat. Fiz. 215, No. 2, 297--310 (2023) Full Text: DOI
Volkov, V. T.; Nefedov, N. N. Asymptotic solution of the boundary control problem for a Burgers-type equation with modular advection and linear gain. (English. Russian original) Zbl 1504.35036 Comput. Math. Math. Phys. 62, No. 11, 1849-1858 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 11, 1851-1860 (2022). MSC: 35B25 35C10 35K20 35K58 35R30 PDFBibTeX XMLCite \textit{V. T. Volkov} and \textit{N. N. Nefedov}, Comput. Math. Math. Phys. 62, No. 11, 1849--1858 (2022; Zbl 1504.35036); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 11, 1851--1860 (2022) Full Text: DOI
Nefedov, N. N. Periodic contrast structures in the reaction-diffusion problem with fast response and weak diffusion. (English. Russian original) Zbl 1500.35016 Math. Notes 112, No. 4, 588-597 (2022); translation from Mat. Zametki 112, No. 4, 601-612 (2022). MSC: 35B25 35B10 35K20 35K58 PDFBibTeX XMLCite \textit{N. N. Nefedov}, Math. Notes 112, No. 4, 588--597 (2022; Zbl 1500.35016); translation from Mat. Zametki 112, No. 4, 601--612 (2022) Full Text: DOI
Nefedov, N. N.; Nikulin, E. I.; Orlov, A. O. Front motion in a problem with weak advection in the case of a continuous source and a modular-type source. (English. Russian original) Zbl 1497.35028 Differ. Equ. 58, No. 6, 757-770 (2022); translation from Differ. Uravn. 58, No. 6, 763-776 (2022). MSC: 35B25 35K20 35K58 PDFBibTeX XMLCite \textit{N. N. Nefedov} et al., Differ. Equ. 58, No. 6, 757--770 (2022; Zbl 1497.35028); translation from Differ. Uravn. 58, No. 6, 763--776 (2022) Full Text: DOI
Nefedov, N. N.; Nikulin, E. I.; Orlov, A. O. Contrast structures in the reaction-diffusion-advection problem in the case of a weak reaction discontinuity. (English) Zbl 1486.35023 Russ. J. Math. Phys. 29, No. 1, 81-90 (2022). MSC: 35B25 35C10 35C20 35B35 35K20 35K57 PDFBibTeX XMLCite \textit{N. N. Nefedov} et al., Russ. J. Math. Phys. 29, No. 1, 81--90 (2022; Zbl 1486.35023) Full Text: DOI
Nefedov, N. N. On a new type of periodic fronts in Burgers type equations with modular advection. (English) Zbl 1501.35029 Manuilov, Vladimir M. (ed.) et al., Differential equations on manifolds and mathematical physics. Dedicated to the memory of Boris Sternin. Selected papers based on the presentations of the conference on partial differential equations and applications, Moscow, Russia, November 6–9, 2018. Cham: Birkhäuser. Trends Math., 273-286 (2021). MSC: 35B25 35B10 35B35 35K20 35K58 PDFBibTeX XMLCite \textit{N. N. Nefedov}, in: Differential equations on manifolds and mathematical physics. Dedicated to the memory of Boris Sternin. Selected papers based on the presentations of the conference on partial differential equations and applications, Moscow, Russia, November 6--9, 2018. Cham: Birkhäuser. 273--286 (2021; Zbl 1501.35029) Full Text: DOI
Nefedov, N. N. Development of methods of asymptotic analysis of transition layers in reaction-diffusion-advection equations: theory and applications. (English. Russian original) Zbl 1481.35009 Comput. Math. Math. Phys. 61, No. 12, 2068-2087 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 12, 2074-2094 (2021). MSC: 35-02 35B25 35K20 35K57 35R30 PDFBibTeX XMLCite \textit{N. N. Nefedov}, Comput. Math. Math. Phys. 61, No. 12, 2068--2087 (2021; Zbl 1481.35009); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 12, 2074--2094 (2021) Full Text: DOI
Nefedov, N. N.; Nikulin, E. I. On unstable solutions with a nonmonotone boundary layer in a two-dimensional reaction-diffusion problem. (English. Russian original) Zbl 1481.35028 Math. Notes 110, No. 6, 922-931 (2021); translation from Mat. Zametki 110, No. 6, 899-910 (2021). MSC: 35B25 35B10 35B35 35K20 35K57 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{E. I. Nikulin}, Math. Notes 110, No. 6, 922--931 (2021; Zbl 1481.35028); translation from Mat. Zametki 110, No. 6, 899--910 (2021) Full Text: DOI
Levashova, N. T.; Nefedov, N. N.; Nikolaeva, O. A. Solution with an inner transition layer of a two-dimensional boundary value reaction-diffusion-advection problem with discontinuous reaction and advection terms. (English. Russian original) Zbl 1467.35029 Theor. Math. Phys. 207, No. 2, 655-669 (2021); translation from Teor. Mat. Fiz. 207, No. 2, 293-309 (2021). MSC: 35B25 35K20 35K57 35R05 PDFBibTeX XMLCite \textit{N. T. Levashova} et al., Theor. Math. Phys. 207, No. 2, 655--669 (2021; Zbl 1467.35029); translation from Teor. Mat. Fiz. 207, No. 2, 293--309 (2021) Full Text: DOI
Nefedov, N. N.; Rudenko, O. V. On the motion, amplification, and blow-up of fronts in Burgers-type equations with quadratic and modular nonlinearity. (English. Russian original) Zbl 1477.35017 Dokl. Math. 102, No. 1, 283-287 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 26-31 (2020). MSC: 35B25 35B44 35C20 35K20 35K58 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{O. V. Rudenko}, Dokl. Math. 102, No. 1, 283--287 (2020; Zbl 1477.35017); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 26--31 (2020) Full Text: DOI
Nefedov, N. N.; Nikulin, E. I. Periodic boundary layer solutions of a reaction-diffusion problem with singularly perturbed boundary conditions of the third kind. (English. Russian original) Zbl 1458.35032 Differ. Equ. 56, No. 12, 1594-1603 (2020); translation from Differ. Uravn. 56, No. 12, 1641-1650 (2020). MSC: 35B25 35K20 35K57 35B10 35B35 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{E. I. Nikulin}, Differ. Equ. 56, No. 12, 1594--1603 (2020; Zbl 1458.35032); translation from Differ. Uravn. 56, No. 12, 1641--1650 (2020) Full Text: DOI
Nefedov, N. N.; Nikulin, E. I.; Orlov, A. O. On a periodic inner layer in the reaction-diffusion problem with a modular cubic source. (English. Russian original) Zbl 1451.35017 Comput. Math. Math. Phys. 60, No. 9, 1461-1479 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 9, 1513-1532 (2020). MSC: 35B25 35K20 35K57 35B10 PDFBibTeX XMLCite \textit{N. N. Nefedov} et al., Comput. Math. Math. Phys. 60, No. 9, 1461--1479 (2020; Zbl 1451.35017); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 9, 1513--1532 (2020) Full Text: DOI
Volkov, V. T.; Nefedov, N. N. Asymptotic solution of coefficient inverse problems for Burgers-type equations. (English. Russian original) Zbl 1450.35293 Comput. Math. Math. Phys. 60, No. 6, 950-959 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 6, 975-984 (2020). MSC: 35R30 35B25 35K20 35K58 PDFBibTeX XMLCite \textit{V. T. Volkov} and \textit{N. N. Nefedov}, Comput. Math. Math. Phys. 60, No. 6, 950--959 (2020; Zbl 1450.35293); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 6, 975--984 (2020) Full Text: DOI
Levashova, N. T.; Nefedov, N. N.; Nikolaeva, O. A. Asymptotically stable stationary solutions of the reaction-diffusion-advection equation with discontinuous reaction and advection terms. (English. Russian original) Zbl 1456.35014 Differ. Equ. 56, No. 5, 605-620 (2020); translation from Differ. Uravn. 56, No. 5, 615-631 (2020). Reviewer: Denise Huet (Nancy) MSC: 35B25 35K57 35K58 35K20 PDFBibTeX XMLCite \textit{N. T. Levashova} et al., Differ. Equ. 56, No. 5, 605--620 (2020; Zbl 1456.35014); translation from Differ. Uravn. 56, No. 5, 615--631 (2020) Full Text: DOI
Levashova, N. T.; Nefedov, N. N.; Nikolaeva, O. A. Existence and asymptotic stability of a stationary boundary-layer solution of the two-dimensional reaction-diffusion-advection problem. (English. Russian original) Zbl 1441.35022 Differ. Equ. 56, No. 2, 199-211 (2020); translation from Differ. Uravn. 56, No. 2, 204-216 (2020). MSC: 35B25 35K20 35K57 PDFBibTeX XMLCite \textit{N. T. Levashova} et al., Differ. Equ. 56, No. 2, 199--211 (2020; Zbl 1441.35022); translation from Differ. Uravn. 56, No. 2, 204--216 (2020) Full Text: DOI
Nefedov, Nikolay Burgers-type equations with nonlinear amplification: front motion and blow-up. (English) Zbl 1442.35397 Korobeinikov, Andrei (ed.) et al., Extended abstracts Spring 2018. Singularly perturbed systems, multiscale phenomena and hysteresis: theory and applications. Selected papers based on the presentations of the joint 9th international workshop on MUlti-Rate Processes and HYSteresis and the 4th international workshop on hysteresis and slow-fast systems, MURPHYS-HSFS-2018, Barcelona, Spain, May 29 – June 1, 2018. Cham: Birkhäuser. Trends Math., Res. Perspect. CRM Barc. 11, 265-270 (2019). MSC: 35Q53 35B25 35K57 35K20 35K58 PDFBibTeX XMLCite \textit{N. Nefedov}, Trends Math., Res. Perspect. CRM Barc. 11, 265--270 (2019; Zbl 1442.35397) Full Text: DOI
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
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
Nefedov, Nikolay The existence and asymptotic stability of periodic solutions with an interior layer of Burgers type equations with modular advection. (English) Zbl 1447.35030 Math. Model. Nat. Phenom. 14, No. 4, Paper No. 401, 14 p. (2019). MSC: 35B25 35B10 35K20 35K58 35B35 PDFBibTeX XMLCite \textit{N. Nefedov}, Math. Model. Nat. Phenom. 14, No. 4, Paper No. 401, 14 p. (2019; Zbl 1447.35030) Full Text: DOI
Nefedov, N. N.; Nikulin, E. I.; Recke, L. On the existence and asymptotic stability of periodic contrast structures in quasilinear reaction-advection-diffusion equations. (English) Zbl 1416.35027 Russ. J. Math. Phys. 26, No. 1, 55-69 (2019). MSC: 35B25 35K20 35K57 35B10 35B35 PDFBibTeX XMLCite \textit{N. N. Nefedov} et al., Russ. J. Math. Phys. 26, No. 1, 55--69 (2019; Zbl 1416.35027) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. Existence, asymptotics, stability and region of attraction of a periodic boundary layer solution in case of a double root of the degenerate equation. (English) Zbl 1418.35018 Comput. Math. Math. Phys. 58, No. 12, 1989-2001 (2018). MSC: 35B25 35K20 35K57 35B10 35B40 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Comput. Math. Math. Phys. 58, No. 12, 1989--2001 (2018; Zbl 1418.35018) Full Text: DOI
Levashova, Natalia T.; Nefedov, Nikolay N.; Nikolaeva, Olga A.; Orlov, Andrey O.; Panin, Alexander A. The solution with internal transition layer of the reaction-diffusion equation in case of discontinuous reactive and diffusive terms. (English) Zbl 1407.35017 Math. Methods Appl. Sci. 41, No. 18, 9203-9217 (2018). MSC: 35B25 35R05 35K57 35K20 35C20 PDFBibTeX XMLCite \textit{N. T. Levashova} et al., Math. Methods Appl. Sci. 41, No. 18, 9203--9217 (2018; Zbl 1407.35017) Full Text: DOI
Levashova, N. T.; Nefedov, N. N.; Yagremtsev, A. V. Existence of a solution in the form of a moving front of a reaction-diffusion-advection problem in the case of balanced advection. (English. Russian original) Zbl 1404.35223 Izv. Math. 82, No. 5, 984-1005 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 5, 131-152 (2018). Reviewer: Dilmurat Tursunov (Osh) MSC: 35K20 35A35 35B25 35C20 65M99 PDFBibTeX XMLCite \textit{N. T. Levashova} et al., Izv. Math. 82, No. 5, 984--1005 (2018; Zbl 1404.35223); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 5, 131--152 (2018) Full Text: DOI
Orlov, A. O.; Levashova, N. T.; Nefedov, N. N. Solution of contrast structure type for a parabolic reaction-diffusion problem in a medium with discontinuous characteristics. (English. Russian original) Zbl 1395.35014 Differ. Equ. 54, No. 5, 669-686 (2018); translation from Differ. Uravn. 54, No. 5, 673-690 (2018). MSC: 35B25 35K20 35K58 35B10 35K57 35R05 PDFBibTeX XMLCite \textit{A. O. Orlov} et al., Differ. Equ. 54, No. 5, 669--686 (2018; Zbl 1395.35014); translation from Differ. Uravn. 54, No. 5, 673--690 (2018) Full Text: DOI
Nefedov, N. N.; Rudenko, O. V. On front motion in a Burgers-type equation with quadratic and modular nonlinearity and nonlinear amplification. (English. Russian original) Zbl 1391.35030 Dokl. Math. 97, No. 1, 99-103 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 3, 274-279 (2018). MSC: 35B25 35B44 35K58 35K20 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{O. V. Rudenko}, Dokl. Math. 97, No. 1, 99--103 (2018; Zbl 1391.35030); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 3, 274--279 (2018) Full Text: DOI
Nefedov, N. N.; Nikulin, E. I. Existence and stability of periodic contrast structures in the reaction-advection-diffusion problem in the case of a balanced nonlinearity. (English. Russian original) Zbl 1372.35022 Differ. Equ. 53, No. 4, 516-529 (2017); translation from Differ. Uravn. 53, No. 4, 524-537 (2017). MSC: 35B25 35K20 35K58 35B10 35K57 35C20 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{E. I. Nikulin}, Differ. Equ. 53, No. 4, 516--529 (2017; Zbl 1372.35022); translation from Differ. Uravn. 53, No. 4, 524--537 (2017) Full Text: DOI
Volkov, Vladimir; Lukyanenko, Dmitry; Nefedov, Nikolay Asymptotic-numerical method for the location and dynamics of internal layers in singular perturbed parabolic problems. (English) Zbl 1368.65167 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 721-729 (2017). MSC: 65M22 35K57 35B25 PDFBibTeX XMLCite \textit{V. Volkov} et al., Lect. Notes Comput. Sci. 10187, 721--729 (2017; Zbl 1368.65167) Full Text: DOI
Lukyanenko, Dmitry; Nefedov, Nikolay; Nikulin, Egor; Volkov, Vladimir Use of asymptotics for new dynamic adapted mesh construction for periodic solutions with an interior layer of reaction-diffusion-advection equations. (English) Zbl 1368.65166 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 107-118 (2017). MSC: 65M22 35K57 35B25 65M50 65M15 PDFBibTeX XMLCite \textit{D. Lukyanenko} et al., Lect. Notes Comput. Sci. 10187, 107--118 (2017; Zbl 1368.65166) Full Text: DOI
Omel’chenko, O. E.; Recke, L.; Butuzov, V. F.; Nefedov, N. N. Time-periodic boundary layer solutions to singularly perturbed parabolic problems. (English) Zbl 1362.35031 J. Differ. Equations 262, No. 9, 4823-4862 (2017). Reviewer: Denise Huet (Nancy) MSC: 35B25 35B10 35K20 35K58 PDFBibTeX XMLCite \textit{O. E. Omel'chenko} et al., J. Differ. Equations 262, No. 9, 4823--4862 (2017; Zbl 1362.35031) Full Text: DOI
Volkov, Vladimir; Nefedov, Nikolay; Antipov, Eugene Asymptotic-numerical method for moving fronts in two-dimensional R-D-A problems. (English) Zbl 1359.65231 Dimov, Ivan (ed.) et al., Finite difference methods, theory and applications. 6th international conference, FDM 2014, Lozenetz, Bulgaria, June 18–23, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-20238-9/pbk; 978-3-319-20239-6/ebook). Lecture Notes in Computer Science 9045, 408-416 (2015). MSC: 65M99 35K57 35B25 PDFBibTeX XMLCite \textit{V. Volkov} et al., Lect. Notes Comput. Sci. 9045, 408--416 (2015; Zbl 1359.65231) Full Text: DOI
Nefedov, Nikolay; Yagremtsev, Aleksei On extension of asymptotic comparison principle for time periodic reaction-diffusion-advection systems with boundary and internal layers. (English) Zbl 1362.35030 Dimov, Ivan (ed.) et al., Finite difference methods, theory and applications. 6th international conference, FDM 2014, Lozenetz, Bulgaria, June 18–23, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-20238-9/pbk; 978-3-319-20239-6/ebook). Lecture Notes in Computer Science 9045, 62-71 (2015). MSC: 35B25 35B40 35K20 35K57 35B10 35B35 35B50 PDFBibTeX XMLCite \textit{N. Nefedov} and \textit{A. Yagremtsev}, Lect. Notes Comput. Sci. 9045, 62--71 (2015; Zbl 1362.35030) Full Text: DOI
Nefedov, N. N.; Nikulin, E. I. Existence and stability of periodic contrast structures in the reaction-advection-diffusion problem. (English) Zbl 1325.35102 Russ. J. Math. Phys. 22, No. 2, 215-226 (2015). MSC: 35K58 35K57 35A01 35B10 35B25 35B35 35K20 35Q35 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{E. I. Nikulin}, Russ. J. Math. Phys. 22, No. 2, 215--226 (2015; Zbl 1325.35102) Full Text: DOI
Nefedov, N. N.; Recke, L.; Schneider, K. R. Existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations. (English) Zbl 1325.35099 J. Math. Anal. Appl. 405, No. 1, 90-103 (2013). Reviewer: Rodica Luca (Iaşi) MSC: 35K57 35K20 PDFBibTeX XMLCite \textit{N. N. Nefedov} et al., J. Math. Anal. Appl. 405, No. 1, 90--103 (2013; Zbl 1325.35099) Full Text: DOI
Volkov, Vladimir; Nefedov, Nikolay Asymptotic-numerical investigation of generation and motion of fronts in phase transition models. (English) Zbl 1351.35081 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 5th international conference, NAA 2012, Lozenetz, Bulgaria, June 15–20, 2012. Revised selected papers. Berlin: Springer (ISBN 978-3-642-41514-2/pbk). Lecture Notes in Computer Science 8236, 524-531 (2013). MSC: 35K57 35B25 35K20 65M06 PDFBibTeX XMLCite \textit{V. Volkov} and \textit{N. Nefedov}, Lect. Notes Comput. Sci. 8236, 524--531 (2013; Zbl 1351.35081) Full Text: DOI
Nefedov, Nikolay Comparison principle for reaction-diffusion-advection problems with boundary and internal layers. (English) Zbl 1351.35085 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 5th international conference, NAA 2012, Lozenetz, Bulgaria, June 15–20, 2012. Revised selected papers. Berlin: Springer (ISBN 978-3-642-41514-2/pbk). Lecture Notes in Computer Science 8236, 62-72 (2013). MSC: 35K59 35B25 35B35 35B51 35K20 35K57 PDFBibTeX XMLCite \textit{N. Nefedov}, Lect. Notes Comput. Sci. 8236, 62--72 (2013; Zbl 1351.35085) Full Text: DOI
Nefedov, N. N.; Davydova, M. A. Contrast structures in multidimensional singularly perturbed reaction-diffusion-advection problems. (English. Russian original) Zbl 1257.35028 Differ. Equ. 48, No. 5, 745-755 (2012); translation from Differ. Uravn. 48, No. 5, 738-748 (2012). MSC: 35B25 35K57 35K58 35K20 35B35 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{M. A. Davydova}, Differ. Equ. 48, No. 5, 745--755 (2012; Zbl 1257.35028); translation from Differ. Uravn. 48, No. 5, 738--748 (2012) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. Region of attraction of a periodic solution to a singularly perturbed parabolic problem. (English) Zbl 1253.35011 Appl. Anal. 91, No. 7, 1265-1277 (2012). MSC: 35B25 35B10 35K20 35K57 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Appl. Anal. 91, No. 7, 1265--1277 (2012; Zbl 1253.35011) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. Existence and stability of solutions with periodically moving weak internal layers. (English) Zbl 1158.35010 J. Math. Anal. Appl. 348, No. 1, 508-515 (2008). Reviewer: Denise Huet (Nancy) MSC: 35B25 35K55 35B10 35B40 35K20 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., J. Math. Anal. Appl. 348, No. 1, 508--515 (2008; Zbl 1158.35010) Full Text: DOI
Volkov, V. T.; Nefedov, N. N. Periodic contrast structures in a problem with balanced nonlinearity: existence, asymptotics, stability. (Russian) Zbl 1150.35327 Nonlinear Bound. Value Probl. 16, 118-126 (2006). MSC: 35B25 35K60 35B10 PDFBibTeX XMLCite \textit{V. T. Volkov} and \textit{N. N. Nefedov}, Nonlinear Bound. Value Probl. 16, 118--126 (2006; Zbl 1150.35327)
Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. Formation and propagation of steep transition layers in parabolic problems. (English. Russian original) Zbl 1107.35014 Mosc. Univ. Phys. Bull. 60, No. 1, 8-14 (2005); translation from Vestn. Mosk. Univ., Ser. III 2005, No. 1, 9-13 (2005). MSC: 35B25 35K55 35K20 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Mosc. Univ. Phys. Bull. 60, No. 1, 8--14 (2005; Zbl 1107.35014); translation from Vestn. Mosk. Univ., Ser. III 2005, No. 1, 9--13 (2005)
Nefedov, N. Multi-dimensional internal layers for spatially inhomogeneous reaction-diffusion equations. (English) Zbl 1097.35016 Mortell, Michael P. (ed.) et al., Singular perturbations and hysteresis. Based on the workshop, Cork, Ireland, April 2002. Philadelphia, PA: SIAM (ISBN 0-89871-597-0). 127-152 (2005). MSC: 35B25 35K60 35J65 35B10 PDFBibTeX XMLCite \textit{N. Nefedov}, in: Singular perturbations and hysteresis. Based on the workshop, Cork, Ireland, April 2002. Philadelphia, PA: SIAM. 127--152 (2005; Zbl 1097.35016)
Nefedov, N. N.; Schneider, K. R. Delay of exchange of stabilities in singularly perturbed parabolic problems. (English) Zbl 1125.35314 Danilin, A. R. (ed.), Asymptotic expansions, approximation theory, topology. Transl. from the Russian. Moscow: Maik Nauka / Interperiodica. Proceedings of the Steklov Institute of Mathematics 2003, Suppl. 1, S144-S154 (2003). MSC: 35B25 37L10 35K55 35K60 35B35 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{K. R. Schneider}, in: Asymptotic expansions, approximation theory, topology. Transl. from the Russian. Moscow: Maik Nauka / Interperiodica. S144--S154 (2003; Zbl 1125.35314)
Nefedov, N. N.; Sakamoto, K. Multi-dimensional stationary internal layers for spatially inhomogeneous reaction-diffusion equations with balanced nonlinearity. (English) Zbl 1065.35039 Hiroshima Math. J. 33, No. 3, 391-432 (2003). MSC: 35B25 35B35 35K60 35J65 35R35 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{K. Sakamoto}, Hiroshima Math. J. 33, No. 3, 391--432 (2003; Zbl 1065.35039)
Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. Singularly perturbed partly dissipative reaction-diffusion systems in case of exchange of stabilities. (English) Zbl 1192.35096 J. Math. Anal. Appl. 273, No. 1, 217-235 (2002). MSC: 35K57 35B25 35B40 35K40 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., J. Math. Anal. Appl. 273, No. 1, 217--235 (2002; Zbl 1192.35096) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. Singularly perturbed reaction-diffusion systems in cases of exchange of stabilities. (English) Zbl 0980.35023 Nat. Resour. Model. 13, No. 2, 247-269 (2000). Reviewer: Daniel Ševčovič (Bratislava) MSC: 35B25 35K60 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Nat. Resour. Model. 13, No. 2, 247--269 (2000; Zbl 0980.35023) Full Text: DOI
Nefedov, N. N. On moving spike type internal layers in nonlinear singularly perturbed problems. (English) Zbl 0913.35009 J. Math. Anal. Appl. 221, No. 1, 1-12 (1998). Reviewer: D.Huet (Nancy) MSC: 35B25 35K60 35B10 35C20 PDFBibTeX XMLCite \textit{N. N. Nefedov}, J. Math. Anal. Appl. 221, No. 1, 1--12 (1998; Zbl 0913.35009) Full Text: DOI Link
Volkov, V. T.; Nefëdov, N. N. Periodic solutions with boundary layers of a singularly perturbed reaction-diffusion model. (English. Russian original) Zbl 0835.35015 Comput. Math. Math. Phys. 34, No. 8-9, 1133-1140 (1994); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 8-9, 1307-1315 (1994). MSC: 35B25 35K60 35B10 PDFBibTeX XMLCite \textit{V. T. Volkov} and \textit{N. N. Nefëdov}, Comput. Math. Math. Phys. 34, No. 8--9, 1133--1140 (1994; Zbl 0835.35015); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 8--9, 1307--1315 (1994)
Nefedov, N. N. Nonstationary spike-type contrast structures in nonlinear singularly perturbed parabolic equations. (English. Russian original) Zbl 0839.35007 Russ. Acad. Sci., Dokl., Math. 49, No. 3, 489-492 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 2, 165-167 (1994). MSC: 35B25 35K60 35B05 PDFBibTeX XMLCite \textit{N. N. Nefedov}, Russ. Acad. Sci., Dokl., Math. 49, No. 3, 165--167 (1994; Zbl 0839.35007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 2, 165--167 (1994)
Nefëdov, N. N. Contrast structures in equations of “reaction-advection-diffusion” type. (Russian. English summary) Zbl 1189.34047 Mat. Model. 3, No. 2, 135-140 (1991). MSC: 34B15 34E15 34E20 35K60 76R50 PDFBibTeX XMLCite \textit{N. N. Nefëdov}, Mat. Model. 3, No. 2, 135--140 (1991; Zbl 1189.34047) Full Text: MNR
Nefedov, N. N. Asymptotic solution of a problem simulating heat and mass transfer in interpenetrating media. (Russian) Zbl 0593.35052 Differ. Uravn. 21, No. 10, 1819-1821 (1985). Reviewer: V.Komkov MSC: 35K20 35C20 80A20 PDFBibTeX XMLCite \textit{N. N. Nefedov}, Differ. Uravn. 21, No. 10, 1819--1821 (1985; Zbl 0593.35052)