Yvan Martel

Stability and Asymptotic Stability for Subcritical gKdV Equations

Yvan Martel, Frank Merle, Tai‐Peng Tsai · Communications in Mathematical Physics · 2002 · 212 citations

Hyperbolic Conservation Law, Nonlinear Hyperbolic Problem, Integrable System +2

Blow up for $u_t-\Delta u=g(u)$ revisited

Thierry Cazenave, Yvan Martel, Arthur Ramiandrisoa · Advances in Differential Equations · 1996 · 198 citations

Hyperbolic Conservation Law, Numerical Simulation, Parabolic Equation +2

Asymptotic N -soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations

Yvan Martel · American Journal of Mathematics · 2005 · 196 citations

Spectral Theory, Korteweg-de Vries Equations, Uniqueness Result +7

Asymptotic Stability of Solitons¶for Subcritical Generalized KdV Equations

Yvan Martel, Frank Merle · Archive for Rational Mechanics and Analysis · 2001 · 182 citations

Asymptotic Stability, Integrable System, Stability

Asymptotic stability of solitons of the subcritical gKdV equations revisited

Yvan Martel, Frank Merle · Nonlinearity · 2004 · 177 citations

Physics, Nonlinear Wave Propagation, Topological Soliton +8