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Research Output

2020

A new application of Crapper’s exact solution to waves in constant vorticity flows

Hur, V. M. & Vanden-Broeck, J-M., May 2020, In : European Journal of Mechanics, B/Fluids.

Research output: Contribution to journalArticle

Exact free surfaces in constant vorticity flows

Hur, V. M. & Wheeler, M. H., Aug 10 2020, In : Journal of Fluid Mechanics.

Research output: Contribution to journalArticle

2019

Modulational instability in a full-dispersion shallow water model

Hur, V. M. & Pandey, A. K., Jan 2019, In : Studies in Applied Mathematics. 142, 1, p. 3-47 45 p.

Research output: Contribution to journalArticle

Shallow water models with constant vorticity

Hur, V. M., Jan 1 2019, In : European Journal of Mechanics, B/Fluids. 73, p. 170-179 10 p.

Research output: Contribution to journalArticle

Stokes waves in a constant vorticity flow

Hur, V. M. & Dyachenko, S., Dec 2019, Nonlinear Water Waves.

Research output: Chapter in Book/Report/Conference proceedingChapter

Stokes waves with constant vorticity: I. Numerical computation

Dyachenko, S. A. & Hur, V. M., Feb 1 2019, In : Studies in Applied Mathematics. 142, 2, p. 162-189 28 p.

Research output: Contribution to journalArticle

Stokes waves with constant vorticity: folds, gaps and fluid bubbles

Dyachenko, S. A. & Hur, V. M., Nov 10 2019, In : Journal of Fluid Mechanics.

Research output: Contribution to journalArticle

2018

Norm inflation for equations of KdV type with fractional dispersion

Hur, V. M., 2018, In : Differential and Integral Equations. 31, 11-12, p. 833-850 18 p.

Research output: Contribution to journalArticle

Wave breaking in a shallow water model

Hur, V. M. & Tao, L., 2018, In : SIAM Journal on Mathematical Analysis. 50, 1, p. 354-380 27 p.

Research output: Contribution to journalArticle

2017

Oscillation estimates of eigenfunctions via the combinatorics of noncrossing partitions

Hur, V. M., Johnson, M. A. & Martin, J. L., Jan 1 2017, In : Discrete Analysis. 13, 2017, p. 1-20 20 p.

Research output: Contribution to journalArticle

Pressure Transfer Functions for Interfacial Fluids Problems

Chen, R. M., Hur, V. M. & Walsh, S., Mar 1 2017, In : Journal of Mathematical Fluid Mechanics. 19, 1, p. 59-76 18 p.

Research output: Contribution to journalArticle

Wave breaking in the Whitham equation

Hur, V. M., Sep 7 2017, In : Advances in Mathematics. 317, p. 410-437 28 p.

Research output: Contribution to journalArticle

2016

Modulational instability in equations of KdV type

Bronski, J. C., Hur, V. M. & Johnson, M. A., Jan 1 2016, In : Lecture Notes in Physics. 908, p. 83-133 51 p.

Research output: Contribution to journalArticle

Modulational instability in nonlinear nonlocal equations of regularized long wave type

Hur, V. M. & Pandey, A. K., Jun 15 2016, In : Physica D: Nonlinear Phenomena. 325, p. 98-112 15 p.

Research output: Contribution to journalArticle

On the recovery of traveling water waves with vorticity from the pressure at the bed

Hur, V. M. & Livesay, M. R., Nov 1 2016, In : European Journal of Mechanics, B/Fluids. 60, p. 99-109 11 p.

Research output: Contribution to journalArticle

2015

Modulational Instability in the Whitham Equation for Water Waves

Hur, V. M. & Johnson, M. A., Jan 1 2015, In : Studies in Applied Mathematics. 134, 1, p. 120-143 24 p.

Research output: Contribution to journalArticle

Modulational instability in the Whitham equation with surface tension and vorticity

Hur, V. M. & Johnson, M. A., Dec 1 2015, In : Nonlinear Analysis, Theory, Methods and Applications. 129, p. 104-118 15 p., 10635.

Research output: Contribution to journalArticle

Stability of periodic traveling waves for nonlinear dispersive equations

Hur, V. M. & Johnson, M. A., Jan 1 2015, In : SIAM Journal on Mathematical Analysis. 47, 5, p. 3528-3554 27 p.

Research output: Contribution to journalArticle

2014

Modulational instability and variational structure

Bronski, J. C. & Hur, V. M., May 2014, In : Studies in Applied Mathematics. 132, 4, p. 285-331 47 p.

Research output: Contribution to journalArticle

Wave breaking for the Whitham equation with fractional dispersion

Hur, V. M. & Tao, L., Dec 1 2014, In : Nonlinearity. 27, 12, p. 2937-2949 13 p.

Research output: Contribution to journalArticle

2012

Analyticity of rotational flows beneath solitary water waves

Hur, V. M., Jun 11 2012, In : International Mathematics Research Notices. 2012, 11, p. 2550-2570 21 p.

Research output: Contribution to journalArticle

No solitary waves exist on 2D deep water

Hur, V. M., Dec 1 2012, In : Nonlinearity. 25, 12, p. 3301-3312 12 p.

Research output: Contribution to journalArticle

On the formation of singularities for surface water waves

Hur, M. K., Jul 1 2012, In : Communications on Pure and Applied Analysis. 11, 4, p. 1465-1474 10 p.

Research output: Contribution to journalArticle

2011

Stokeswaves with vorticity

Hur, V. M., Jan 1 2011, In : Journal d'Analyse Mathematique. 113, 1, p. 331-386 56 p.

Research output: Contribution to journalArticle

2010

Strichartz estimates for the water-wave problem with surface tension

Christianson, H., Hur, V. M. & Staffilani, G., Dec 1 2010, In : Communications in Partial Differential Equations. 35, 12, p. 2195-2252 58 p.

Research output: Contribution to journalArticle

2009

Local smoothing effects for the water-wave problem with surface tension

Christianson, H., Hur, V. M. & Staffilani, G., Feb 1 2009, In : Comptes Rendus Mathematique. 347, 3-4, p. 159-162 4 p.

Research output: Contribution to journalArticle

2008

Exact solitary water waves with vorticity

Hur, V. M., May 1 2008, In : Archive for Rational Mechanics and Analysis. 188, 2, p. 213-244 32 p.

Research output: Contribution to journalArticle

Solitary waves of the rotation-modified Kadomtsev-Petviashvili equation

Chen, R. M., Hur, V. M. & Liu, Y., Dec 1 2008, In : Nonlinearity. 21, 12, p. 2949-2979 31 p.

Research output: Contribution to journalArticle

Symmetry of solitary water waves with vorticity

Hur, V. M., Mar 1 2008, In : Mathematical Research Letters. 15, 2-3, p. 491-509 19 p.

Research output: Contribution to journalArticle

Unstable surface waves in running water

Hur, V. M. & Lin, Z., Sep 1 2008, In : Communications in Mathematical Physics. 282, 3, p. 733-796 64 p.

Research output: Contribution to journalArticle

2007
2006

Global bifurcation theory of deep-water waves with vorticity

Hur, M. K., Jan 1 2006, In : SIAM Journal on Mathematical Analysis. 37, 5, p. 1482-1521 40 p.

Research output: Contribution to journalArticle