Keywords: مشکل مرزی آزاد; Free boundary problem; Tumor growth; Existence and uniqueness;
مقالات ISI مشکل مرزی آزاد (ترجمه نشده)
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Keywords: مشکل مرزی آزاد; Free boundary problem; Large time behavior; Hysteresis
Keywords: مشکل مرزی آزاد; Forward backward convection–diffusion equations; Free boundary problem; Degenerate diffusion
Keywords: مشکل مرزی آزاد; Mathematical model; Ductal carcinoma in situ; Free boundary problem; Global stability
Bifurcation for a free boundary problem modeling tumor growth with ECM and MDE interactions
Keywords: مشکل مرزی آزاد; Tumor growth; Free boundary problem; Symmetry-breaking bifurcation; Spherical harmonics;
Convergence in time-periodic quasilinear parabolic equations in one space dimension
Keywords: مشکل مرزی آزاد; 35K55; 35K20; 35B40; 35R35; Nonlinear parabolic equation; Time-periodic solution; Initial-boundary value problem; Asymptotic behavior; Free boundary problem;
Well-posedness of the free boundary problem in compressible elastodynamics
Keywords: مشکل مرزی آزاد; Compressible elastodynamics; Symmetric hyperbolic system; Free boundary problem; Well-posedness; Rayleigh-Taylor instability;
Semi-wave and spreading speed for the diffusive competition model with a free boundary
Keywords: مشکل مرزی آزاد; 35K51; 35R35; 92B05; 35B40; Competition model; Free boundary problem; Semi wave; Asymptotic spreading speed;
A benchmark for the surface Cahn–Hilliard equation
Keywords: مشکل مرزی آزاد; Cahn–Hilliard; Free boundary problem; Diffuse interface; Finite elements
A diffusive logistic equation with a free boundary and sign-changing coefficient in time-periodic environment
Keywords: مشکل مرزی آزاد; 35K57; 35R35; 35B10; 92D25Diffusive logistic equation; Free boundary problem; Periodic environment; Spreading and vanishing
Asymptotic traveling wave solution for a credit rating migration problem
Keywords: مشکل مرزی آزاد; Traveling wave; Free boundary problem; PDE with discontinuous leading order coefficient; Asymptotic behavior; Credit rating migration risk model
C1,1 regularity for degenerate elliptic obstacle problems
Keywords: مشکل مرزی آزاد; primary, 35J70, 35J86, 49J40, 35R45; secondary, 35R35, 49J20, 60J60Degenerate elliptic differential operator; Free boundary problem; Heston stochastic volatility process; Obstacle problem; Variational inequality; Weighted Hölder and Sobolev spaces
On a free boundary problem for a reaction-diffusion-advection logistic model in heterogeneous environment
Keywords: مشکل مرزی آزاد; 35K51; 35R35; 92B05; Free boundary problem; Reaction-diffusion-advection equation; Heterogeneous environments; Population dynamics;
Thin-film free boundary problems for partial wetting
Keywords: مشکل مرزی آزاد; Thin films; Free boundary problem; Numerical methods;
Asymptotic behavior of solutions of a degenerate Fisher–KPP equation with free boundaries
Keywords: مشکل مرزی آزاد; Reaction–diffusion equation; Free boundary problem; Asymptotic behavior; Sharp threshold
Analysis of a mathematical model for tumor therapy with a fusogenic oncolytic virus
Keywords: مشکل مرزی آزاد; Oncolytic virus; Tumor; Syncytia; Hyperbolic–parabolic system; Free boundary problem
Blow-up and asymptotic behavior of solutions for reaction-diffusion equations with free boundaries
Keywords: مشکل مرزی آزاد; Nonlinear diffusion equation; Free boundary problem; Asymptotic behavior; Blow-up; Threshold value;
Local in time solvability of a nonstandard free boundary problem in stratigraphy: A Lagrangian approach
Keywords: مشکل مرزی آزاد; Free boundary problem; Nonlinear parabolic equation; Stratigraphic model; Unilateral constraint; Lagrangian coordinates
Stability of a strong viscous contact discontinuity in a free boundary problem for compressible Navier–Stokes equations
Keywords: مشکل مرزی آزاد; Free boundary problem; Navier–Stokes equations; Viscous contact discontinuity
On some free boundary problem of the Navier-Stokes equations in the maximal Lp-Lq regularity class
Keywords: مشکل مرزی آزاد; 35Q30; 76D05; Navier-Stokes equations; Free boundary problem; Uniform Wq2â1/q domain; Local in time unique existence theorem; Bounded domain; Global in time unique existence theorem;
Weak solutions of a two-phase Navier–Stokes model with a general slip law
Keywords: مشکل مرزی آزاد; 76T10; 76N10; 65M12; 35L60Drift-flux; Two-phase flow; Weak solutions; Free boundary problem
Long time behavior of solutions of Fisher-KPP equation with advection and free boundaries
Keywords: مشکل مرزی آزاد; 35K20; 35K55; 35R35; 35B40Fisher-KPP equation; Advection; Free boundary problem; Long time behavior
Some remarks on certain invariant geometric properties in Hele–Shaw flows
Keywords: مشکل مرزی آزاد; Free boundary problem; Hele–Shaw flow; α-Convex function; Univalent function; Starlike function; Strongly starlike function
A model comparison to predict heat transfer during spot GTA welding
Keywords: مشکل مرزی آزاد; TIG welding; Multiphysics simulation; Fluid flow; Heat transfer; Lorentz forces; Marangoni effect; Arbitrary Lagrangian Eulerian method; Shape identification; Iterative regularization method; Adjoint problem; Free boundary problem
An algorithm for a class of nonlinear complementarity problems with non-Lipschitzian functions
Keywords: مشکل مرزی آزاد; Nonlinear complementarity problem; Free boundary problem; Smoothing Newton method; Local superlinear convergence
A new model for electrostatic MEMS with two free boundaries
Keywords: مشکل مرزی آزاد; MEMS; Free boundary problem; Small aspect ratio limit
A composite Level Set and Extended-Domain-Eigenfunction Method for simulating 2D Stokes flow involving a free surface
Keywords: مشکل مرزی آزاد; 35J15; 35J25; 35J45; 65N99; 76D07BVPs; Elliptic operators; EDEM; Stokes equation; Level Set Method; Free boundary problem
Optimal lower bounds on asymptotic support propagation rates for the thin-film equation
Keywords: مشکل مرزی آزاد; 35R35; 35K65; 35B40; 76A20; 35K25; 35Q35; 76D08Thin-film equation; Finite speed of propagation; Free boundary problem; Degenerate parabolic equation; Higher-order parabolic equation; Asymptotic behavior
Numerical methods to solve PDE models for pricing business companies in different regimes and implementation in GPUs
Keywords: مشکل مرزی آزاد; Firm pricing; Kolmogorov equation; Free boundary problem; Numerical methods; Characteristics scheme; Finite differences; Parallelization; GPU technology;
Thin rigid inclusions with delaminations in elastic plates
Keywords: مشکل مرزی آزاد; Thin rigid inclusion; Crack; Non-penetration condition; Variational inequality; Free boundary problem
On a non-linear moving boundary problem for a diffusion–convection equation
Keywords: مشکل مرزی آزاد; Free boundary problem; Nonlinear diffusion–convection equation; Volterra integral equation
Strongly Φ-like functions of order α in two-dimensional free boundary problems
Keywords: مشکل مرزی آزاد; Conformal map; Free boundary problem; Hele–Shaw flow; Spirallike function; Starlike function; Strongly Φ-like function; Surface tension
The evaluation of barrier option prices under stochastic volatility
Keywords: مشکل مرزی آزاد; Barrier option; Stochastic volatility; Continuously monitored; Discretely monitored; Free boundary problem; Method of lines
Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core
Keywords: مشکل مرزی آزاد; Bifurcation; Free boundary problem; Tumor model; Necrotic core
Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions
Keywords: مشکل مرزی آزاد; Stefan problem; Free boundary problem; Explicit solution; Similarity solution; Sediment delta;
A sensitivity analysis for the determination of unknown thermal coefficients through a phase-change process with temperature-dependent thermal conductivity
Keywords: مشکل مرزی آزاد; Stefan problem; Unknown thermal coefficients; PCM; Sensitivity analysis; Inverse problem; Free boundary problem; Moving boundary problem
A dynamical mother body in a Hele-Shaw problem
Keywords: مشکل مرزی آزاد; Hele-Shaw cell; Schwarz function; Free boundary problem
Simulation of the spread of a viscous fluid using a bidimensional shallow water model
Keywords: مشکل مرزی آزاد; Shallow water equations; Free boundary problem; ALE discretization; Flooding and drying
Exact solution of a boundary value problem describing the uniform cylindrical or spherical piston motion
Keywords: مشکل مرزی آزاد; Piston motion; Free boundary problem; Shock wave; Compressible flow
Parameter-dependent variational–hemivariational inequalities and an unstable degenerate elliptic free boundary problem
Keywords: مشکل مرزی آزاد; Variational–hemivariational inequality; Parameter dependence; Degenerate elliptic operator; Free boundary problem; Sub–supersolution; Extremal solution; Variational method; Critical point
A new predictor–corrector scheme for valuing American puts
Keywords: مشکل مرزی آزاد; American put options; Predictor–corrector; Finite difference method; Free boundary problem
Hölder continuity of discrete Morse flows to the Alt-Caffarelli variational problem generating free boundaries
Keywords: مشکل مرزی آزاد; 35J20; Discrete Morse flows; Free boundary problem;
Regularity of solutions to a free boundary problem modeling tumor growth by Stokes equation
Keywords: مشکل مرزی آزاد; Free boundary problem; Tumor growth model; Regularity; Analyticity;
Valuation of European continuous-installment options
Keywords: مشکل مرزی آزاد; Installment option; Free boundary problem; Integral representation method
A parabolic variational inequality related to the perpetual American executive stock options
Keywords: مشکل مرزی آزاد; 35A25; 35R35; 35Q99Parabolic variational inequality; Free boundary problem; Executive stock option
An integral representation approach for valuing American-style installment options with continuous payment plan
Keywords: مشکل مرزی آزاد; 91B28; 35K20; 42B10Installment options; Free boundary problem; Incomplete Fourier transform; Integral representations
Fast reaction limit of a three-component reaction-diffusion system
Keywords: مشکل مرزی آزاد; Reaction-diffusion system; Fast reaction limit; Reaction limit set; Free boundary problem; Nonlinear diffusion problem;
Analysis of tumor growth under direct effect of inhibitors with time delays in proliferation
Keywords: مشکل مرزی آزاد; Free boundary problem; Tumor growth; Nonnegativity; Stationary solutions; Asymptomatic behavior
Valuing continuous-installment options
Keywords: مشکل مرزی آزاد; Finance; Continuous-installment options; Free boundary problem; Integral representation; Laplace transforms
Analyticity of solutions to a free boundary problem modeling the growth of multi-layer tumors
Keywords: مشکل مرزی آزاد; Free boundary problem; Analyticity; Multi-layer tumor