- Publications 1. Craster R. V., ``On effective resistivity and related parameters for periodic
- Synchronizing Moore and Spiegel N. J. Balmforth and R. V. Craster
- IMA Journal of Applied Mathematics (1998) 61, 1--23 Scattering by small defects in the neighbourhood of a fluidsolid
- Under consideration for publication in J. Fluid Mech. 1 Dynamics of cooling domes of viscoplastic
- Title: A RECIPROCITY RELATION FOR FLUID LOADED ELASTIC PLATES THAT CONTAIN RIGID DEFECTS
- On finite length cracks in poroelasticity By R.V. Craster and C. Atkinson
- Under consideration for publication in J. Fluid Mech. 1 Ocean waves and ice sheets
- Under consideration for publication in J. Fluid Mech. 1 Viscoplastic models of isothermal lava
- Fingering of a surfactant droplet on a thin liquid film Richard Craster, Omar Matar, Mark Warner & Barry Edmonstone
- Trapped modes and asymptotics in curved elastic waveguides Dmitri Gridin, Richard Craster, Alex Adamou and Julia Postnova
- The light fluid loading limit for fluid/solid interactions
- SCATTERING BY CRACKS BENEATH FLUIDSOLID INTERFACES
- Flow down a vertical fibre Richard Craster and Omar Matar
- A three-phase tessellation: solution and effective properties
- Cagniard--de Hoop path perturbations with applications to nongeometric wave arrivals
- The solution of a class of free boundary By R.V.Craster
- Conformal mappings involving curvilinear quadrangles
- Unsteady fronts in an autocatalytic system By N. J. Balmforth 1 , R. V. Craster 2 & S. J. A. Malham 1
- A consistent thin--layer theory for Bingham By N. J. Balmforth 1 and R. V. Craster 2
- Applications of Fuchsian differential equations to free boundary problems
- FOURPHASE CHECKERBOARD COMPOSITES # R. V. CRASTER + AND YU. V. OBNOSOV #
- Under consideration for publication in J. Fluid Mech. 1 Surfactant transport on mucus films
- Solutions of HerschelBulkley flows R.V.Craster
- Publications 1. D. T. Conroy, O. K. Matar, R. V. Craster and D. T. Papageorgiou "Breakup of
- M2AA2 -Multivariable Calculus. Problem Sheet 2 1. If v = (2xy + z2, 2yz + x2, 2xz + y2) show that v = 0 and find the potential such that
- M2AA2 -Multivariable Calculus. Problem Sheet 3. Solutions. 1. (a) The centroid of a region S is given by x = 1
- M2AA2 -Multivariable Calculus. Problem Sheet 3 1. (a) Show that the centroid (x, y) of a closed simply connected region S in R2 is given by
- M2AA2 -Multivariable Calculus. Problem Sheet 6 Show that I = 4 if S is the sphere |x| = R and that I = 0 if S bounds a volume that does
- Problem sheet 8 (a) Eliminate the arbitrary functions from the following to obtain first order partial
- M2AA2 -Multivariable Calculus. Problem Sheet 4. Solutions. 1. Need to show that S( F ) ndS = C F ds. First, calculate F = (0, 0, 1) and on
- M2AA2 -Multivariable Calculus. Problem Sheet 5 1. Consider the following curvilinear coordinate system defined in terms of the cartesian
- M2AA2 -Multivariable Calculus. Problem Sheet 4 1. Verify the Stokes theorem for the vector field
- M2AA2 -Multivariable Calculus. Problem Sheet 5. Solutions. 1. Here we use that
- M2AA2 -Multivariable Calculus. Problem Sheet 1 1. If A is a constant vector field, calculate the gradients of the following
- M2AA2 Assessed coursework 1 1. (i) 2 marks Let A be any constant vector and r = (x, y, z) with r = |r| then show that
- M2AA2 -Multivariable Calculus. Problem Sheet 7 1. If ij is the Kronecker delta and xi is a vector, evaluate
- M2AA2 -Multivariable Calculus. Problem Sheet 1 Solutions 1. (i) A r = A1x1 + A2x2 + A3x3, hence (A r) = (A1, A2, A3) = A.
- M2AA2 -Multivariable Calculus. Problem Sheet 7. Solutions. ijikxjxk = jkxjxk = xjxj = x2
- M2AA2 -Multivariable Calculus. Problem Sheet 6. Solutions. (x2 + y2 + z2)3/2
- Course outline and book recommendations Professor Craster. Course M2AA2.
- M2AA2 -Multivariable Calculus. Problem Sheet 2. Solutions. 1. Consider the first component
- M2AA2 Assessed coursework 2 -2xy)dx + (x2
- M2AA2 Assessed coursework 1 -solution 1. (i) Note that r