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Journal of Nonlinear Science, ISSN 0938-8974, 10/2014, Volume 24, Issue 5, pp. 809 - 855
Journal Article
Nonlinear Differential Equations and Applications NoDEA, ISSN 1021-9722, 12/2012, Volume 19, Issue 6, pp. 719 - 749
We show a large time behavior result for class of weakly coupled systems of first-order Hamilton–Jacobi equations in the periodic setting. We use a PDE... 
Secondary 35F30 | Critical value | 35B25 | Primary 49L25 | Analysis | Weakly coupled system | Mathematics | Hamilton–Jacobi equations | Large time behavior | 58J37 | Hamilton-Jacobi equations | MATHEMATICS, APPLIED | CONVEX | CONVERGENCE | ASYMPTOTIC SOLUTIONS | Analysis of PDEs
Journal Article
Communications in Partial Differential Equations, ISSN 0360-5302, 07/2009, Volume 34, Issue 7, pp. 656 - 675
We consider a variational model that describes the growth of a sandpile on a bounded table under the action of a vertical source. The possible equilibria of... 
Secondary 47J20, 35Q99 | Asymptotic profile | Granular matter | Primary 35C15, 35F30 | Uniqueness of solutions | Distance function | MATHEMATICS | MATHEMATICS, APPLIED | FAST/SLOW DIFFUSION | BOUNDARY | Mathematics | Optimization and Control
Journal Article
Journal of Mathematical Fluid Mechanics, ISSN 1422-6928, 03/2010, Volume 12, Issue 1, pp. 151 - 169
We discuss existence and uniqueness of solutions to the Euler Equation in an unbounded domain of the plane. We only assume the vorticity to be bounded, whereas... 
incompressible fluid | Euler equation | Mathematical Methods in Physics | Fluid- and Aerodynamics | secondary 35F30 | Primary 76B03 | Physics | Classical Continuum Physics | Incompressible fluid | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | PHYSICS, FLUIDS & PLASMAS
Journal Article
Journal of the Institute of Mathematics of Jussieu, ISSN 1474-7480, 2018, pp. 1 - 25
We investigate interesting connections between Mizohata type vector fields and microlocal regularity of nonlinear first-order PDEs, establishing results in... 
2010 Mathematics subject classification | 35B65 | 35A18 | Primary 35F30 | 32A55 | Secondary 35A20
Journal Article
Complex Variables and Elliptic Equations, ISSN 1747-6933, 07/2010, Volume 55, Issue 7, pp. 647 - 656
We discuss the Cauchy problem for the so-called Chaplygin system which often appears in gas, aero- and hydrodynamics. This system can be thought of as a... 
Primary 35F30 | Euler's equations | Secondary 35J50 | nonlinear PDE | Chaplygin system | Cauchy problem | Nonlinear PDE | MATHEMATICS | Cauchy problems
Journal Article
Complex Variables and Elliptic Equations: A tribute to Richard Delanghe, ISSN 1747-6933, 05/2006, Volume 51, Issue 5-6, pp. 429 - 452
We consider factorizations of the stationary and non-stationary Schrödinger equation in which are based on appropriate Dirac operators. These factorizations... 
Nonlinear Dirac equation | Mathematics Subject Classifications 2000: Primary 30G35 | Schrödinger equation | Clifford analysis | Secondary 35J10
Journal Article
Complex Variables, Theory and Application: An International Journal, ISSN 0278-1077, 04/1999, Volume 38, Issue 4, pp. 307 - 319
We investigate a spatial modified Miura transform. To describe this transform we have to solve a non-linear first-order system of partial differential... 
Quaternionic analysis | 1991 Mathematical Subject Classification Primary 30D35 | factorization | Schrödinger equation | Secondary 35J10
Journal Article
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