Trofimchuk, Sergei; Volpert, Vitaly Existence of bistable waves for a nonlocal and nonmonotone reaction-diffusion equation. (English) Zbl 1480.35088 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 721-739 (2020). MSC: 35C07 35K57 35K15 35R09 92D25 PDFBibTeX XMLCite \textit{S. Trofimchuk} and \textit{V. Volpert}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 721--739 (2020; Zbl 1480.35088) Full Text: DOI
Bessonov, Nick; Bocharov, Gennady; Touaoula, Tarik Mohammed; Trofimchuk, Sergei; Volpert, Vitaly Delay reaction-diffusion equation for infection dynamics. (English) Zbl 1418.35228 Discrete Contin. Dyn. Syst., Ser. B 24, No. 5, 2073-2091 (2019). MSC: 35K57 34K23 92C50 PDFBibTeX XMLCite \textit{N. Bessonov} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 5, 2073--2091 (2019; Zbl 1418.35228) Full Text: DOI
Sen, M.; Volpert, V.; Vougalter, V. Existence of waves for a reaction-diffusion-dispersion system. (English) Zbl 1411.35167 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 180, 52-66 (2019). MSC: 35K57 35J61 47H11 PDFBibTeX XMLCite \textit{M. Sen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 180, 52--66 (2019; Zbl 1411.35167) Full Text: DOI
Apreutesei, Narcisa; Volpert, Vitaly Travelling waves for reaction-diffusion problems with nonlinear boundary conditions. (English) Zbl 1474.35391 Pure Appl. Funct. Anal. 3, No. 1, 43-56 (2018). MSC: 35K57 PDFBibTeX XMLCite \textit{N. Apreutesei} and \textit{V. Volpert}, Pure Appl. Funct. Anal. 3, No. 1, 43--56 (2018; Zbl 1474.35391) Full Text: Link
Vougalter, Vitali; Volpert, Vitaly Existence of stationary solutions for some non-Fredholm integro-differential equations with superdiffusion. (English) Zbl 1390.35219 J. Pseudo-Differ. Oper. Appl. 9, No. 1, 1-24 (2018). MSC: 35P30 35J10 35K57 PDFBibTeX XMLCite \textit{V. Vougalter} and \textit{V. Volpert}, J. Pseudo-Differ. Oper. Appl. 9, No. 1, 1--24 (2018; Zbl 1390.35219) Full Text: DOI HAL
Panasenko, Grigory; Volpert, Vitaly Homogenization of a one-dimensional diffusion - discrete absorption equation with feedback. (English) Zbl 1418.34053 Appl. Anal. 95, No. 7, 1507-1516 (2016). MSC: 34B15 34B45 92C17 92C42 PDFBibTeX XMLCite \textit{G. Panasenko} and \textit{V. Volpert}, Appl. Anal. 95, No. 7, 1507--1516 (2016; Zbl 1418.34053) Full Text: DOI HAL
Vougalter, Vitali; Volpert, Vitaly Existence of stationary solutions for some systems of integro-differential equations. (English) Zbl 1386.45011 Discontin. Nonlinearity Complex. 5, No. 1, 75-84 (2016). MSC: 45K05 35J05 92D25 47F05 35Q92 PDFBibTeX XMLCite \textit{V. Vougalter} and \textit{V. Volpert}, Discontin. Nonlinearity Complex. 5, No. 1, 75--84 (2016; Zbl 1386.45011) Full Text: DOI
Volpert, Vitaly Elliptic partial differential equations. Volume 2: Reaction-diffusion equations. (English) Zbl 1307.35004 Monographs in Mathematics 104. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0812-5/hbk; 978-3-0348-0813-2/ebook). xviii, 784 p. (2014). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35-02 35K57 35K61 35K55 35K51 PDFBibTeX XMLCite \textit{V. Volpert}, Elliptic partial differential equations. Volume 2: Reaction-diffusion equations. Basel: Birkhäuser/Springer (2014; Zbl 1307.35004) Full Text: DOI
Apreutesei, N.; Tosenberger, A.; Volpert, V. Existence of reaction-diffusion waves with nonlinear boundary conditions. (English) Zbl 1275.35119 Math. Model. Nat. Phenom. 8, No. 3, 2-17 (2013). MSC: 35K57 35K61 35C07 PDFBibTeX XMLCite \textit{N. Apreutesei} et al., Math. Model. Nat. Phenom. 8, No. 3, 2--17 (2013; Zbl 1275.35119) Full Text: DOI
Apreutesei, Narcisa; Volpert, Vitaly Reaction-diffusion waves with nonlinear boundary conditions. (English) Zbl 1270.35273 Netw. Heterog. Media 8, No. 1, 23-35 (2013). MSC: 35K61 35K57 35J60 35C07 PDFBibTeX XMLCite \textit{N. Apreutesei} and \textit{V. Volpert}, Netw. Heterog. Media 8, No. 1, 23--35 (2013; Zbl 1270.35273) Full Text: DOI
Apreutesei, N.; Volpert, V. Existence of travelling waves for a class of integro-differential equations from population dynamics. (English) Zbl 1399.35116 Int. Electron. J. Pure Appl. Math. 5, No. 2, 53-67 (2012). MSC: 35C07 35K57 45K05 47A53 47H11 PDFBibTeX XMLCite \textit{N. Apreutesei} and \textit{V. Volpert}, Int. Electron. J. Pure Appl. Math. 5, No. 2, 53--67 (2012; Zbl 1399.35116) Full Text: Link
Volpert, Vitaly; Vougalter, Vitali On the existence of stationary solutions for some systems of non-Fredholm integro-differential equations. (English) Zbl 1291.45012 Discontin. Nonlinearity Complex. 1, No. 2, 197-209 (2012). MSC: 45K05 45G15 PDFBibTeX XMLCite \textit{V. Volpert} and \textit{V. Vougalter}, Discontin. Nonlinearity Complex. 1, No. 2, 197--209 (2012; Zbl 1291.45012) Full Text: DOI
El Khatib, N.; Genieys, S.; Kazmierczak, B.; Volpert, V. Reaction-diffusion model of atherosclerosis development. (English) Zbl 1252.35156 J. Math. Biol. 65, No. 2, 349-374 (2012). MSC: 35K57 92C50 35C07 35K61 PDFBibTeX XMLCite \textit{N. El Khatib} et al., J. Math. Biol. 65, No. 2, 349--374 (2012; Zbl 1252.35156) Full Text: DOI
Apreutesei, N.; Volpert, V. Properness and topological degree for nonlocal reaction-diffusion operators. (English) Zbl 1215.35089 Abstr. Appl. Anal. 2011, Article ID 629692, 21 p. (2011). MSC: 35K57 35R09 47H11 47A53 PDFBibTeX XMLCite \textit{N. Apreutesei} and \textit{V. Volpert}, Abstr. Appl. Anal. 2011, Article ID 629692, 21 p. (2011; Zbl 1215.35089) Full Text: DOI EuDML
Kazmierczak, B.; Volpert, V. Travelling waves in partially degenerate reaction-diffusion systems. (English) Zbl 1337.35074 Math. Model. Nat. Phenom. 2, No. 2, 106-125 (2007). MSC: 35K57 34A34 35Q51 PDFBibTeX XMLCite \textit{B. Kazmierczak} and \textit{V. Volpert}, Math. Model. Nat. Phenom. 2, No. 2, 106--125 (2007; Zbl 1337.35074) Full Text: DOI
Laurent, Frédérique; Massot, Marc; Volpert, Vitaly Propagation of gaseous flames in the limit of small mass diffusion coefficients. (Propagation de flammes gazeuses dans la limite d’une diffusion massique nulle.) (French. Abridged English version) Zbl 1140.80402 C. R., Math., Acad. Sci. Paris 335, No. 4, 405-410 (2002). MSC: 80A25 76N15 76V05 76R50 34B15 34B60 PDFBibTeX XMLCite \textit{F. Laurent} et al., C. R., Math., Acad. Sci. Paris 335, No. 4, 405--410 (2002; Zbl 1140.80402) Full Text: DOI
Barillon, Cristelle; Makhviladze, Georgy M.; Volpert, Vitaly A. Existence of solutions for an elliptic-algebraic system describing heat explosion in a two-phase medium. (English) Zbl 0971.76077 M2AN, Math. Model. Numer. Anal. 34, No. 3, 555-573 (2000). Reviewer: Elena Gavrilova (Sofia) MSC: 76N15 80A20 35J60 35A05 35K57 35Q80 PDFBibTeX XMLCite \textit{C. Barillon} et al., M2AN, Math. Model. Numer. Anal. 34, No. 3, 555--573 (2000; Zbl 0971.76077) Full Text: DOI EuDML
Barillon, Christelle; Volpert, Vitaly A. Topological degree for a class of elliptic operators in \(\mathbb{R}^n\). (English) Zbl 0956.35038 Topol. Methods Nonlinear Anal. 14, No. 2, 275-293 (1999). Reviewer: Serghey G.Suvorov (Donetsk) MSC: 35J60 47H11 47N20 PDFBibTeX XMLCite \textit{C. Barillon} and \textit{V. A. Volpert}, Topol. Methods Nonlinear Anal. 14, No. 2, 275--293 (1999; Zbl 0956.35038) Full Text: DOI
Volpert, V. A.; Volpert, A. I. Wave trains described by monotone parabolic systems. (English) Zbl 0898.34049 Nonlinear World 3, No. 2, 159-181 (1996). MSC: 34C37 35K57 47H11 PDFBibTeX XMLCite \textit{V. A. Volpert} and \textit{A. I. Volpert}, Nonlinear World 3, No. 2, 159--181 (1996; Zbl 0898.34049)