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2007, OXFORD SCIENCE PUBLICATIONS. SER: OXFORD MATHEMATICAL MONOGRAPHS., ISBN 9780198569039, 647
The heat equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently... 
Mathematical and Statistical Physics | Boundary value problems | Mathematics | Boundary layer theory | Nonlinear | Heat equation | Linear partial differential equations | Fluid flow | Mathematical biology | Lubrication | Diffusion | Heat transfer
Book
2006, Oxford lecture series in mathematics and its applications, ISBN 0199202974, Volume 33, xiii, 234
This book is concerned with the quantitative aspects of the theory of nonlinear diffusion equations... 
Burgers equation | Applied Mathematics | Delayed regularity | Singular parabolicity | Smoothing | Nonlinearities of power type | Asymptotics | Extinction in finite time | Time decay | Decay rates | Classical heat equation
Book
Archive for rational mechanics and analysis, ISSN 1432-0673, 05/2019, Volume 234, Issue 2, pp. 727 - 775
Journal Article
Computers & mathematics with applications (1987), ISSN 0898-1221, 03/2017, Volume 73, Issue 6, pp. 874 - 891
Journal Article
2006, ISBN 9780521855136, Volume 9780521855136, x, 291
Modeling and prediction of oceanographic phenomena and climate is based on the integration of dynamic equations... 
Mathematics | Mathematical models | Oceanography
Book
Computers & mathematics with applications (1987), ISSN 0898-1221, 03/2017, Volume 73, Issue 6, pp. 1016 - 1027
Journal Article
2011, ISBN 1107012953, xliii, 214
"This book introduces the novel porous media formulation for multiphase flow conservation equations, a new, flexible, and unified approach to solve real-world engineering problems"-- "William... 
Multiphase flow | Conservation laws (Mathematics) | Mathematical models
Book
2002, Cambridge texts in applied mathematics, ISBN 9780521630573, Volume 27, xii, 545
This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to... 
Vortex-motion | Non-Newtonian fluids
Book
Journal of mathematical fluid mechanics, ISSN 1422-6928, 06/2019, Volume 21, Issue 3, pp. 1 - 28
Journal Article
1995, Applied mathematical sciences, ISBN 0387944168, Volume 110, xi, 534
Book
Water resources research, ISSN 0043-1397, 05/2007, Volume 43, Issue 5, pp. W05427 - n/a
Alternative general forms are considered for equations to predict mean velocity over the full range of relative submergence experienced in gravel‐ and boulder‐bed streams... 
Hydrology | Geomorphology | fluvial | Floods | Streamflow | River channels | Shallow flows | velocity | hydraulic geometry | roughness | Limnology | Physical Sciences | Life Sciences & Biomedicine | Marine & Freshwater Biology | Water Resources | Environmental Sciences & Ecology | Science & Technology | Environmental Sciences
Journal Article
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 03/2019, Volume 345, pp. 1077 - 1093
We study numerical schemes for incompressible Navier–Stokes equations using IMEX temporal discretizations, finite element spatial discretizations, and equipped with continuous data assimilation... 
Navier–Stokes equations | Finite elements | Divergence-free finite elements | Data assimilation | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mechanics | Mathematics | Science & Technology | Assimilation | Finite element method | Accuracy | Parameters | Computational fluid dynamics | Fluid flow | Stability analysis | Well posed problems | Navier-Stokes equations
Journal Article