Sierociuk, Dominik; Dzieliński, Andrzej; Sarwas, Grzegorz; Petras, Ivo; Podlubny, Igor; Skovranek, Tomas Modelling heat transfer in heterogeneous media using fractional calculus. (English) Zbl 1382.80004 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 1990, Article ID 20120146, 10 p. (2013). MSC: 80A20 35R11 45K05 PDFBibTeX XMLCite \textit{D. Sierociuk} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 1990, Article ID 20120146, 10 p. (2013; Zbl 1382.80004) Full Text: DOI
Brailovsky, I.; Kagan, L.; Sivashinsky, G. Combustion waves in hydraulically resisted systems. (English) Zbl 1243.76032 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 370, No. 1960, 625-646 (2012). MSC: 76D33 80A25 PDFBibTeX XMLCite \textit{I. Brailovsky} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 370, No. 1960, 625--646 (2012; Zbl 1243.76032)
Clavin, Paul; Williams, Forman A. Analytical studies of the dynamics of gaseous detonations. (English) Zbl 1243.76046 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 370, No. 1960, 597-624 (2012). MSC: 76L05 35Q35 80A25 PDFBibTeX XMLCite \textit{P. Clavin} and \textit{F. A. Williams}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 370, No. 1960, 597--624 (2012; Zbl 1243.76046)
Kessler, David A.; Gamezo, V. N.; Oran, Elaine S. Gas-phase detonation propagation in mixture composition gradients. (English) Zbl 1243.76047 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 370, No. 1960, 567-596 (2012). MSC: 76L05 80A25 PDFBibTeX XMLCite \textit{D. A. Kessler} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 370, No. 1960, 567--596 (2012; Zbl 1243.76047)
Van Beek, Johannes H. G. M.; Supandi, Farahaniza; Gavai, Anand K.; De Graaf, Albert A.; Binsl, Thomas W.; Hettling, Hannes Simulating the physiology of athletes during endurance sports events: modelling human energy conversion and metabolism. (English) Zbl 1239.92026 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 369, No. 1954, 4295-4315 (2011). MSC: 92C30 93A30 80A20 65C60 92C40 PDFBibTeX XMLCite \textit{J. H. G. M. Van Beek} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 369, No. 1954, 4295--4315 (2011; Zbl 1239.92026)
Gonnella, G.; Lamura, A.; Tiribocchi, A. Thermal and hydrodynamic effects in the ordering of lamellar fluids. (English) Zbl 1223.76010 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 369, No. 1945, 2592-2599 (2011). MSC: 76D05 80A22 PDFBibTeX XMLCite \textit{G. Gonnella} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 369, No. 1945, 2592--2599 (2011; Zbl 1223.76010) Full Text: DOI arXiv
Schmidt, Robin; Nikrityuk, Petr A. Direct numerical simulation of particulate flows with heat transfer in a rotating cylindrical cavity. (English) Zbl 1223.76030 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 369, No. 1945, 2574-2583 (2011). MSC: 76F65 80A20 76T15 PDFBibTeX XMLCite \textit{R. Schmidt} and \textit{P. A. Nikrityuk}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 369, No. 1945, 2574--2583 (2011; Zbl 1223.76030) Full Text: DOI
Chiavazzo, Eliodoro; Asinari, Pietro; Visconti, Filippo Fast computation of multi-scale combustion systems. (English) Zbl 1223.80012 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 369, No. 1945, 2396-2404 (2011). MSC: 80A25 65P10 76M28 PDFBibTeX XMLCite \textit{E. Chiavazzo} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 369, No. 1945, 2396--2404 (2011; Zbl 1223.80012) Full Text: DOI arXiv
Wrobel, Luiz C.; Ginalski, Maciej K.; Nowak, Andrzej J.; Ingham, Derek B.; Fic, Anna M. An overview of recent applications of computational modelling in neonatology. (English) Zbl 1195.76449 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 368, No. 1920, 2817-2834 (2010). MSC: 76Z05 92-08 92B05 76Mxx 80A20 PDFBibTeX XMLCite \textit{L. C. Wrobel} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 368, No. 1920, 2817--2834 (2010; Zbl 1195.76449) Full Text: DOI
Ng, E. Y. K.; Tan, H. M.; Ooi, E. H. Prediction and parametric analysis of thermal profiles within heated human skin using the boundary element method. (English) Zbl 1192.80016 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 368, No. 1912, 655-678 (2010). MSC: 80M15 74L15 PDFBibTeX XMLCite \textit{E. Y. K. Ng} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 368, No. 1912, 655--678 (2010; Zbl 1192.80016) Full Text: DOI
Burada, P. Sekhar; Schmid, Gerhard; Hänggi, Peter Entropic transport: a test bed for the Fick-Jacobs approximation. (English) Zbl 1185.82047 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 367, No. 1901, 3157-3171 (2009). MSC: 82C70 76S05 80A20 PDFBibTeX XMLCite \textit{P. S. Burada} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 367, No. 1901, 3157--3171 (2009; Zbl 1185.82047) Full Text: DOI arXiv
Fureby, C. Large eddy simulation modelling of combustion for propulsion applications. (English) Zbl 1185.76720 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 367, No. 1899, 2957-2969 (2009). MSC: 76F65 80A25 PDFBibTeX XMLCite \textit{C. Fureby}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 367, No. 1899, 2957--2969 (2009; Zbl 1185.76720) Full Text: DOI
Eames, Ian Disappearing bodies and ghost vortices. (English) Zbl 1256.76070 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1873, 2219-2232 (2008). MSC: 76T10 76D17 80A22 PDFBibTeX XMLCite \textit{I. Eames}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1873, 2219--2232 (2008; Zbl 1256.76070)
Liu, J. T. C. Nonlinear instability of developing streamwise vortices with applications to boundary layer heat transfer intensification through an extended Reynolds analogy. (English) Zbl 1153.76365 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1876, 2699-2716 (2008). MSC: 76E30 76D10 76D17 80A20 PDFBibTeX XMLCite \textit{J. T. C. Liu}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1876, 2699--2716 (2008; Zbl 1153.76365) Full Text: DOI
Baker, Graham Thermodynamics in solid mechanics: a commentary. (English) Zbl 1152.74309 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 363, No. 1836, 2465-2477 (2005). MSC: 74A15 80A17 PDFBibTeX XMLCite \textit{G. Baker}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 363, No. 1836, 2465--2477 (2005; Zbl 1152.74309) Full Text: DOI
Wu, Xuesong Asymptotic approach to combustion instability. (English) Zbl 1152.80323 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 363, No. 1830, 1247-1259 (2005). MSC: 80A25 76E09 80M35 PDFBibTeX XMLCite \textit{X. Wu}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 363, No. 1830, 1247--1259 (2005; Zbl 1152.80323) Full Text: DOI
Bray, A. J. Coarsening dynamics of phase-separating systems. (English) Zbl 1053.82024 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 361, No. 1805, 781-792 (2003). MSC: 82C26 80A22 PDFBibTeX XMLCite \textit{A. J. Bray}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 361, No. 1805, 781--792 (2003; Zbl 1053.82024) Full Text: DOI
Cates, M. E.; Vollmer, J.; Wagner, A.; Vollmer, D. Phase separation in binary fluid mixtures with continuously ramped temperature. (English) Zbl 1137.76824 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 361, No. 1805, 793-807 (2003). MSC: 76T99 80A20 PDFBibTeX XMLCite \textit{M. E. Cates} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 361, No. 1805, 793--807 (2003; Zbl 1137.76824) Full Text: DOI arXiv
Inamuro, Takaji A lattice kinetic scheme for incompressible viscous flows with heat transfer. (English) Zbl 1018.76034 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 360, No. 1792, 477-484 (2002). MSC: 76M28 76D05 80A20 76R10 76M45 PDFBibTeX XMLCite \textit{T. Inamuro}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 360, No. 1792, 477--484 (2002; Zbl 1018.76034) Full Text: DOI
Gent, R. W.; Dart, N. P.; Cansdale, J. T. Aircraft icing. (English) Zbl 0997.76092 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 358, No. 1776, 2873-2911 (2000). MSC: 76T99 80A22 76-02 PDFBibTeX XMLCite \textit{R. W. Gent} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 358, No. 1776, 2873--2911 (2000; Zbl 0997.76092) Full Text: DOI
Nelson, M. I.; Brindley, J. Polymer combustion: effects of flame emissivity. (English) Zbl 0965.80013 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3655-3673 (1999). MSC: 80A25 80A30 82D60 PDFBibTeX XMLCite \textit{M. I. Nelson} and \textit{J. Brindley}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3655--3673 (1999; Zbl 0965.80013) Full Text: DOI
Lowe, C. A.; Clarke, J. F. Aspects of solid propellant combustion. (English) Zbl 0965.80012 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3639-3653 (1999). MSC: 80A25 76T99 PDFBibTeX XMLCite \textit{C. A. Lowe} and \textit{J. F. Clarke}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3639--3653 (1999; Zbl 0965.80012) Full Text: DOI
Short, Mark; Kapila, Ashwani K.; Quirk, J. J. The chemical-gas dynamic mechanisms of pulsating detonation wave instability. (English) Zbl 0965.80015 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3621-3637 (1999). MSC: 80A25 76E99 80M99 PDFBibTeX XMLCite \textit{M. Short} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3621--3637 (1999; Zbl 0965.80015) Full Text: DOI
Clarke, John F.; Nikiforakis, Nikolaos Remarks on diffusionless combustion. (English) Zbl 0965.80009 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3605-3620 (1999). MSC: 80A25 76V05 76L05 PDFBibTeX XMLCite \textit{J. F. Clarke} and \textit{N. Nikiforakis}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3605--3620 (1999; Zbl 0965.80009) Full Text: DOI
Cant, Stewart Direct numerical simulation of premixed turbulent flames. (English) Zbl 0965.80008 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3583-3604 (1999). MSC: 80A25 80-04 80M99 PDFBibTeX XMLCite \textit{S. Cant}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3583--3604 (1999; Zbl 0965.80008) Full Text: DOI
Bradley, Derek Instabilities and flame speeds in large-scale premixed gaseous explosions. (English) Zbl 0965.80007 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3567-3581 (1999). MSC: 80A25 76E99 PDFBibTeX XMLCite \textit{D. Bradley}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3567--3581 (1999; Zbl 0965.80007) Full Text: DOI
Dold, J. W.; Crighton, D. G. Non-monotonic curvature-dependent propagation. (English) Zbl 0965.80010 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3553-3566 (1999). MSC: 80A25 76E99 PDFBibTeX XMLCite \textit{J. W. Dold} and \textit{D. G. Crighton}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3553--3566 (1999; Zbl 0965.80010) Full Text: DOI
Oran, Elaine S.; Khokhlov, Alexei M. Deflagrations, hot spots, and the transition to detonation. (English) Zbl 0965.80014 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3539-3551 (1999). MSC: 80A25 76L05 80M99 76F99 PDFBibTeX XMLCite \textit{E. S. Oran} and \textit{A. M. Khokhlov}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3539--3551 (1999; Zbl 0965.80014) Full Text: DOI
McIntosh, A. C. Deflagration fronts and compressibility. (English) Zbl 0973.80008 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3523-3538 (1999). MSC: 80A25 76E19 PDFBibTeX XMLCite \textit{A. C. McIntosh}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3523--3538 (1999; Zbl 0973.80008) Full Text: DOI
Lee, J. H. S.; Higgins, A. J. Comments on criteria for direct initiation of detonation. (English) Zbl 0965.80011 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3503-3521 (1999). MSC: 80A25 PDFBibTeX XMLCite \textit{J. H. S. Lee} and \textit{A. J. Higgins}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3503--3521 (1999; Zbl 0965.80011) Full Text: DOI
Blythe, P. A. Critical amplitudes for pulse explosions with heat loss. (English) Zbl 0965.80006 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3489-3502 (1999). MSC: 80A25 PDFBibTeX XMLCite \textit{P. A. Blythe}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1764, 3489--3502 (1999; Zbl 0965.80006) Full Text: DOI
Penrose, Roger Introduction: Science at the turn of the millennium. (English) Zbl 0944.01011 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1763, 3197-3203 (1999). Reviewer: R.Duda (Wrocław) MSC: 01A67 80-03 83-03 PDFBibTeX XMLCite \textit{R. Penrose}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 357, No. 1763, 3197--3203 (1999; Zbl 0944.01011) Full Text: DOI
Cox, G. Turbulent closure and the modelling of fire by using computational fluid dynamics. (English) Zbl 0966.80009 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 356, No. 1748, 2835-2854 (1998). MSC: 80A25 76M99 76F99 PDFBibTeX XMLCite \textit{G. Cox}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 356, No. 1748, 2835--2854 (1998; Zbl 0966.80009) Full Text: DOI
Zinchenko, Alexander Effective conductivity of loaded granular materials by numerical simulation. (English) Zbl 0953.74055 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 356, No. 1749, 2953-2998 (1998). Reviewer: M.C.Dökmeci (İstanbul) MSC: 74Q15 74E20 80A20 74F05 74E35 74M15 PDFBibTeX XMLCite \textit{A. Zinchenko}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 356, No. 1749, 2953--2998 (1998; Zbl 0953.74055) Full Text: DOI
Velarde, Manuel G. Drops, liquid layers and the Marangoni effect. (English) Zbl 0915.76031 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 356, No. 1739, 829-844 (1998). MSC: 76E15 76D45 76-02 80A20 PDFBibTeX XMLCite \textit{M. G. Velarde}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 356, No. 1739, 829--844 (1998; Zbl 0915.76031) Full Text: DOI
Sanfeld, A. Influence of capillarity on chemical stability and of electric field on surface tension near the cirtical point. (English) Zbl 0915.76033 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 356, No. 1739, 819-828 (1998). MSC: 76E25 76V05 80A32 PDFBibTeX XMLCite \textit{A. Sanfeld}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 356, No. 1739, 819--828 (1998; Zbl 0915.76033) Full Text: DOI
Shuvalov, A. L.; Chadwick, P. Degeneracies in the theory of plane harmonic wave propagation in anisotropic heat-conducting elastic media. (English) Zbl 0882.73020 Philos. Trans. R. Soc. Lond., Ser. A 355, No. 1722, 156-188 (1997). Reviewer: G.Boillat (Aubière) MSC: 74J10 80A20 PDFBibTeX XMLCite \textit{A. L. Shuvalov} and \textit{P. Chadwick}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 355, No. 1722, 156--188 (1997; Zbl 0882.73020) Full Text: DOI
Früh, W.-G.; Read, P. L. Wave intersections and the transition to chaos of baroclinic waves in a thermally driven rotating annulus. (English) Zbl 0875.76013 Philos. Trans. R. Soc. Lond., Ser. A 355, No. 1722, 101-153 (1997). MSC: 76-05 76U05 80A20 PDFBibTeX XMLCite \textit{W. G. Früh} and \textit{P. L. Read}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 355, No. 1722, 101--153 (1997; Zbl 0875.76013) Full Text: DOI
Morland, L. W. Radially symmetric ice sheet flow. (English) Zbl 1067.76537 Philos. Trans. R. Soc. Lond., Ser. A 355, No. 1730, 1873-1904 (1997). MSC: 76D99 86A40 80A20 PDFBibTeX XMLCite \textit{L. W. Morland}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 355, No. 1730, 1873--1904 (1997; Zbl 1067.76537) Full Text: DOI
Abeyaratne, Rohan; Knowles, James K. Impact-induced phase transitions in thermoelastic solids. (English) Zbl 0881.73007 Philos. Trans. R. Soc. Lond., Ser. A 355, No. 1726, 843-867 (1997). MSC: 74A15 74M20 80A22 82B26 PDFBibTeX XMLCite \textit{R. Abeyaratne} and \textit{J. K. Knowles}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 355, No. 1726, 843--867 (1997; Zbl 0881.73007) Full Text: DOI
Fogden, Andrew S. The \(S'\)-\(S''\) and \(H'\)-\(T\) minimal surfaces and their application to structural modelling of intermediate phases. (English) Zbl 0977.53503 Philos. Trans. R. Soc. Lond., Ser. A 354, No. 1715, 2159-2172 (1996). MSC: 53A10 76A15 53C42 76Txx 80A17 80A22 PDFBibTeX XMLCite \textit{A. S. Fogden}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 354, No. 1715, 2159--2172 (1996; Zbl 0977.53503) Full Text: DOI