INVERSE PROBLEM OF CHAOTIC DYNAMICS OF A POLYMER MOLECULE

被引：0

作者：

Starovoitov, Victor n. ^{[1
]}

Titova, Anastasia a. ^{[1
]}

机构：

[1] Lavrentyev Inst Hydrodynam, Pr Lavrentyeva 15, Novosibirsk 630090, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2024年 / 21卷 / 02期

关键词：

polymer chain; chaotic dynamics; nonlo cal parabolic equation; inverse problem; solvability; BOUNDARY-VALUE PROBLEM; SOLVABILITY;

D O I：

10.33048/semi.2024.21.077

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, it is shown that the problem of chaotic dynamics of a polymer molecule in a liquid can be written as a coefficient inverse problem for a nonlocal in time parabolic equation. The weak solvability of this inverse problem is established for the cases of the Dirichlet and Neumann boundary conditions.

引用

页码：1167 / 1180

页数：14

共 9 条

[1] DETERMINATION OF A PARAMETER P(T) IN SOME QUASI-LINEAR PARABOLIC DIFFERENTIAL-EQUATIONS [J].

CANNON, JR ;

LIN, YP .

INVERSE PROBLEMS, 1988, 4 (01) :35-45

[2] Parabolic equations with unknown time-dependent coefficients [J].

Kozhanov, A. I. .

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2017, 57 (06) :956-966

[3]

Ladyzenskaja O., 1968, LINEAR QUASILINEAR E, V23

[4]

Prilepko A.I., 2000, Methods for Solving Inverse Problems in Mathematical Physics

[5] SOLVABILITY OF A REGULARIZED BOUNDARY VALUE PROBLEM ON THE CHAOTIC DYNAMICS OF A POLYMER MOLECULE [J].

Starovoitov, V. N. .

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2023, 20 (02) :1597-1604

[6]

Starovoitov VN, 2021, SIB ELECTRON MATH RE, V18, P1714, DOI [10.33048/semi.2081.18.131, 10.33048/semi.2081.18.13]

[7] Modeling the dynamics of polymer chains in water solution. Application to sensor design [J].

Starovoitov, V. N. ;

Starovoitova, N. .

ALL-RUSSIAN CONFERENCE WITH INTERNATIONAL PARTICIPATION MODERN PROBLEMS OF CONTINUUM MECHANICS AND EXPLOSION PHYSICS DEDICATED TO THE 60TH ANNIVERSARY OF LAVRENTYEV INSTITUTE OF HYDRODYNAMICS SB RAS, 2017, 894

[8] Boundary value problem for a global-in-time parabolic equation [J].

Starovoitov, Victor N. .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (01) :1118-1126

[9] STRONG SOLUTIONS TO A NONLOCAL-IN-TIME SEMILINEAR HEAT EQUATION [J].

Walker, Christoph .

QUARTERLY OF APPLIED MATHEMATICS, 2021, 79 (02) :265-272

← 1 →