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Reaction-diffusion equations with spatially distributed hysteresis. / Gurevich, P.; Shamin, R.; Tikhomirov, S.

In: SIAM Journal on Mathematical Analysis, Vol. 45, No. 3, 2013, p. 1328–1355.

Research output: Contribution to journal › Article

Harvard

Gurevich, P, Shamin, R & Tikhomirov, S 2013, 'Reaction-diffusion equations with spatially distributed hysteresis', SIAM Journal on Mathematical Analysis, vol. 45, no. 3, pp. 1328–1355. https://doi.org/10.1137/120879889

APA

Gurevich, P., Shamin, R., & Tikhomirov, S. (2013). Reaction-diffusion equations with spatially distributed hysteresis. SIAM Journal on Mathematical Analysis, 45(3), 1328–1355. https://doi.org/10.1137/120879889

Vancouver

Gurevich P, Shamin R, Tikhomirov S. Reaction-diffusion equations with spatially distributed hysteresis. SIAM Journal on Mathematical Analysis. 2013;45(3):1328–1355. https://doi.org/10.1137/120879889

Author

Gurevich, P. ; Shamin, R. ; Tikhomirov, S. / Reaction-diffusion equations with spatially distributed hysteresis. In: SIAM Journal on Mathematical Analysis. 2013 ; Vol. 45, No. 3. pp. 1328–1355.

BibTeX

@article{c775b088478645c9899af1181a3a2ad3,
title = "Reaction-diffusion equations with spatially distributed hysteresis",
abstract = "This paper deals with reaction-diffusion equations involving a hysteretic discontinuity in the source term, which is defined at each spatial point. In particular, such problems describe chemical reactions and biological processes in which diffusive and nondiffusive substances interact according to hysteresis law. We find sufficient conditions that guarantee the existence and uniqueness of solutions as well as their continuous dependence on initial data.",
keywords = "spatially distributed hysteresis, reaction-diffusion equation, well-posedness",
author = "P. Gurevich and R. Shamin and S. Tikhomirov",
year = "2013",
doi = "10.1137/120879889",
language = "English",
volume = "45",
pages = "1328–1355",
journal = "SIAM Journal on Mathematical Analysis",
issn = "0036-1410",
publisher = "Society for Industrial and Applied Mathematics",
number = "3",

}

RIS

TY - JOUR

T1 - Reaction-diffusion equations with spatially distributed hysteresis

AU - Gurevich, P.

AU - Shamin, R.

AU - Tikhomirov, S.

PY - 2013

Y1 - 2013

N2 - This paper deals with reaction-diffusion equations involving a hysteretic discontinuity in the source term, which is defined at each spatial point. In particular, such problems describe chemical reactions and biological processes in which diffusive and nondiffusive substances interact according to hysteresis law. We find sufficient conditions that guarantee the existence and uniqueness of solutions as well as their continuous dependence on initial data.

AB - This paper deals with reaction-diffusion equations involving a hysteretic discontinuity in the source term, which is defined at each spatial point. In particular, such problems describe chemical reactions and biological processes in which diffusive and nondiffusive substances interact according to hysteresis law. We find sufficient conditions that guarantee the existence and uniqueness of solutions as well as their continuous dependence on initial data.

KW - spatially distributed hysteresis

KW - reaction-diffusion equation

KW - well-posedness

U2 - 10.1137/120879889

DO - 10.1137/120879889

M3 - Article

VL - 45

SP - 1328

EP - 1355

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

SN - 0036-1410

IS - 3

ER -

ID: 5640833