×

Found 50 Documents (Results 1–50)

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite
Full Text: DOI

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).
PDFBibTeX XMLCite

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).
PDFBibTeX XMLCite

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

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

Filter Results by …

Document Type

all top 5

Year of Publication

all top 3

Main Field

Software